BIO DATA

1. Name of the Teacher : Dr. A. SOLAIRAJU With Date of Birth 05 – 03 – 1962

2. Designation : Associate Professor in Mathematics 3. Department and College : Department of Mathematics Jamal Mohamed College Tiruchirappalli – 620 020. 4. Area of Specialization : Graphs, Algebra, Projective planes

and Operation Research 5.. Academic Qualifications:

Examination Passed

Board/University Subject Year Division Grade Merit etc.

B.Sc. Madurai Kamaraj University

Mathematics 1983 First class

M.Sc. Madurai Kamaraj University

Mathematics 1985 First class

Ph.D. Madurai Kamaraj University

Mathematics 1993 Commended

PGDCA. Bharathidasan University

Computer Applications

2002 First class

6(a). Research Experience:

Research Stage Title of Work/Thesis University where the work was carried out

Ph. D. Studies in Projective Planes

Bharathidasan University Tiruchirappalli – 620 024.

Post Doctoral Fellow

Collineation groups of Projective Planes

School of Mathematics, Madurai Kamaraj University Madurai – 625 021.

6(b). Research Guidance: Research advisor for M.Phil.&Ph.D.in

Bharathidasan University, Trichy-20; Periyar University, Selam; Alagappa University, Karaikudi; Mother Teresa University, Kodaiganal.

No. of Students Guided/ Guiding No. of Students who Obtained Degree

M.Phil Ph.D. M.Phil Ph.D.

05 (Guided) 05 75 10

6(d). Training Programmes Attended:

Four Week Orientation Course

Academic Staff College, Bharathidasan University Tiruchirappalli – 24

20.05.2000 to 16.06.2000

Refresher Course in Mathematics

Academic Staff College, Bharathiar University Coimbatore – 641 046

11.09.2002 to 01.10.2002 with Grade A

Refresher Course in Mathematics

Holy Cross College, Nagercoil (affiliated to Academic Staff College, M.S. University, Tirunelveli

06.11.2002 to 26.06.2002

6(e). Research Projects Carried Out With Central/State Assistance during Ph.D. Degree:

Title of the project Name of the funding agency / Project

Duration Remarks

A Mathematical Model for Asthma

University Grants Commission

01-4-2005 to 31-3-2007

No.F.MRF-690/05. Link No.1690

7(i). Contributions to Educational Innovation designing of the new

courses and curriculum etc.: a. Specify your contribution to Prepared syllabus for New Courses in curriculum Development Mathematics under Autonomous system of the college during 2004-05 - Designed syllabus for Algebra (UG) and Core papers: Algebra, Measure and Integration (PG)

b. Specify teaching methods/ : Delivering lectures followed by any innovation followed by you discussion, Seminar, illustration with slides for students c. Specify Laboratory Experiment : Does not apply d. Evaluation methods adopted : Periodical class tests, Assignments, Group Discussion and Evaluating the Knowledge of students by conducting Seminars.

e. Preparation of resource material : Prepared TWO Lesson materials for including books regarding I year M.Sc (Maths) and ONE material materials, laboratory manuals etc. for IT – Allied Maths of Bharathidasan University, Distance Educatiion, Trichy-20 Prepared ONE lesson materials for Madurai Kamaraj University Distance Education, Madurai – 21. f. Remedial teaching methods adopted by you : Below average students are identified and special coaching are given after class hours. g. Whether Students Counseling (academic) is imparted : Yes h. Any other relevant matter :

1. Assisting the Department in maintaining library of two years and conducting the test of one year. 2. Served as Vice-President of Mathematics association for one year and conducted seminars in various topics in Mathematics.

7(ii). Improvement of Professional Competence:

(a) Refresher and Orientation Courses attended:

1. Four Week Orientation Course 20.05.2000 to 16.06.2000 conducted by Academic Staff College, Bharathidasan University, Tiruchirappalli-24

2. Refresher Course in Mathematics from 11.09.2002 to 01.10.2002,

conducted by Academic Staff College, Bharathiar University, Coimbatore.

3. Refresher Course in Mathematics conducted by Holy Cross

College, Nagercoil, (affiliated to M.S. University, Tirunelveli from 06.11.2002 to 26.11.2002.

(b) Information Regarding Participations in Summer Schools, Seminars, Conferences, Symposia Workshop Etc. Attended in India/ Abroad:

1. “Fuzzy degree d-cover, Ramanujam National symposium on

Mathematical Modelling and Applications” at Department of Matheamtics, IIT, Chennai, December 22, 2004.

2. “Graphoidal cover of a tree” at Kalasaligam College of Engineering and Technology, Srivilliputhur, June 2005.

3. “Blood Graph” at a State Level Seminar on Mathematics, Department of Mathematics, Bishop Heber College, Tiruchirappalli, March 6 & 7, 2006.

4. “Square-Free Graph” at State Level Seminar on Applied Matheamatics, Gandhigram Rural Institute (Deemed University), March 3 & 4, 2006.

5. “Fuzzy Inventory Model with Budget inventory constraints” at State Level Seminar on Applied Mathematics, Department of Mathematics, Sri AVVM Pushpam College of Arts, Poondi, September 4, 2004.

6. “Efficient of Linear Threshold gate on countenance of Artificial Neural Networks” at National Seminar on Computer Science, Department of Computer Science, Bishop Heber College, Tiruchirappalli, March 28-30, 2006.

8. TEACHING EXPERIENCE:

Course taught

Name of University/ College/Institution

Duration Years Months

UG

B.Sc. (Maths) B.E & MCA B.E & M.E.

Jamal Mohamed College, Trichy RVS Engineering College JJ Engineering College

7, August 1997 to Till date 29.11.1993 to June, 1995 July, 1995 to 06.08.1997

14 01 02

00 07 06

PG M.Sc.(Maths)

Jamal Mohamed College, Trichy

7, August 1997 to Till date

17

06

M. Phil. (Mathematics)

Jamal Mohamed College, Trichy

July 2002–Till date

09

00

Published Books: Wrote five books

(i). Engineering Mathematics Volume I & II ( B.E. First year Students)

(ii). Engineering Mathematics Volume III (B. E. Second year Students)

(iii) Discrete Mathematical Structures ( B.E / M.E / B.Sc (Computer

Science) / M. Sc (Computer Scence)

(iv) Numerical Methods.

Guided M. Phil. Students:

More than 60 students of various universities in Tamil Nadu.

Guided Ph. D. Programme:

Ten was awarded; Five are doing.

Life Member of Bodies:

Life member in “Indian Society for Technical Education”

Member of Mathematics Association, New Delhi.

Editor – in – Chief: Indian Journal of Mathematics and Mathematical

Sciences, Serials Publications, New Delhi.

Editors in three International Journals

LIST OF PUBLICATIONS 1.Solairaju, A, The Co-Existence of cubic elations and cubic homologies, Shakya – Special volume 54, 319-325, (1989) as a Indian Journal of pure and Applied Mathematics (Statistical Journal), published at an International Conference, conducted by Indian Statistical Institute, Calcutta. 2. Solairaju, A, characterization of translation planes and dual translation palnes of characreristic not equal to 2, Osaka Journal of Matheamatics, 31 (1994), 51-60. 3. Solairaju, A, Collineation Groups containing homologies of finite projective planes, Journal of Geometry, USA (1998). 4. Solairaju, A and K.R.Nagarajan, The Co-Existence of Elations and Homologies of prime order, Geom. Dedicata, 51, 149-162, Netherland (1994). 5.Solairaju,A and Nagarajan,R “Generalised product of fuzzy groups and P- level subgroups” Journal of Applied Mathematical Analysis and Applications, vol.3 , No.2, 137-145 , (July- December} 2007. 6. Solairaju,A and Nagarajan,R “ Q- fuzzy left R- subgroup of near rings w.r.t T- norms” Antarctica Journal of Mathematics , Vol.5 , No. 1-2, 2008. 7. Solairaju,A and Nagarajan,R “ Characterisation of Weaker fuzzy groups interms of Rosenfeld’s fuzzy groups” Journal of Applied Mathematical Analysis and Applications,Vol.4, No.1-2 PP 37-43 , (January – December) 2008. 8. Solairaju,A and Nagarajan,R “S-Product of S-anti fuzzy right R-Sub groups of Near rings w.r.t. T-Norm”, Accepted for Publications in Far East Journal of mathematics,2009. 9. Solairaju,A and Nagarajan,R “A New Structure and Construction of Q-fuzzy groups” Advances in Fuzzy Mathematics,Vol.4,No.1,PP 23-29, 2009.

10.Solairaju,A and Nagarajan,R “ Multi- Stage Decision Making Approach To Optimise the Product Mix in Assignment Problem Under Fuzzy Parameters” Accepted For Publications in International Journal of Applied Mathematical Sciences” 2009.

11. Solairaju,A and Nagarajan,R “ Enumeration of Maximal Chains and Flags interms of Finite Abelian groups” Accepted For Publications in Antarctica Journal of Mathematics, 2009.

12. Solairaju,A and Nagarajan,R “ Some Algebraic Properties of BCK algebra’s and Fuzzy S- semi groups” Accepted For Publications in Antarctica Journal of Mathematics, 2009.

13. Solairaju,A and Nagarajan,R “ Lattice Valued Q- fuzzy Submodules of Near rings with respect to T- norms” Accepted For Publications in Advances in Fuzzy Mathematics,” 2009.

14. Solairaju, A and Nagarajan,R “Some Structure Properties of M- fuzzy groups” Accepted For Publications in Applied Mathematical Sciences, 2009.

15. Solairaju, A,, and Chithra,K, Edge-odd graceful labeling of the Complex Bipartite graph, The Global Journal of Applied Mathematics and Mathematical Sciences (GJ-AMMS), Volume 1,Number 2,(July-Dec.),2008,137-141. 16. Solairaju,A,, and Chithra,K, New classes of graceful graphs by merging a

finite of Cn, ([n*C4, nºC4, n▫C4] ), Acta Cineria Indica, Volume XXXIV M, No.2,

959-965 (2008). 17. Solairaju,A,, and Chithra,K, New class of graceful graphs, ([C(n,n-3)*Sn C(n,n-3)ºSn]), Pacific-Asian Journal of Mathematics, Volume 2, No.1-2, January-December,137-141, 2008. 18. Solairaju,A,, and Chithra,K, Edge-odd graceful graphs P2(+)N2n and P3 (+) N2n, Acta Cineria Indica, Volume XXXV M, No.2, 761-764 (2009). 19. Solairaju,A, and Chithra,K, gracefulness of n-cell Polyominoe, Applied Science Periodical, Nirala Nagar, Siwan (Bihar), Volume XII, No.4,n November 2010. 20. Solairaju,A, and Chithra,K, Edge-Odd graceful graphs, Electronic Notes in Discrete Mathematics (Science Direct) 33 (2009), 15-20 (www.sciencedirect.com). 21. Solairaju,A,, and Chithra,K, “Edge – Odd Graceful Graphs” ([Trees: The Hoffman tree,Bistar,<K1,n :2>The double star]), Electronic Notes in Discrete Mathematics, Vol. 33(2009), 15-20. 22. Solairaju, A,, and Chithra, K, “Edge – Odd Graceful labeling of the Graphs”, ([Wheel and Gear]) accepted for publication in Antartica journal of Mathematics, Vol.6, 2009. 23. Solairaju,A, and Kumar,R, Fuzzy inventory model with storage capacity and budgetary constraints, Applied Science Periodical, Nirala Nagar, Siwan (Bihar), Volume XII, No.3, August 2010. 24. Solairaju, A and R.Kumar, Multi-item stochastic and fuzzy stochastic models for deteriorating items with constraints, Acta Cineria Indica, Volume XXXIVb M, No.427-440, 2008.

25. Solairaju, A and R.Kumar, A fuzzy inventory model without back order with fuzzy demand, fuzzy storing cost, fuzzy order quantity, limiattion of fuzzy storage area and total average inventory cost are defuzzied by centorid and signed distance methods, Acta CineriaIndica, Volome XXXIV, No.3, August 2010. 26. Solairaju, A, Kumar, R and Jayanthi, K, Stochastic and fuzzy-stochastic inventory models foe weibull dererioration items with shortage cost and storage space consrtraints, Antarctica Journal of Mathematics, Volume 5, 2008. 27. Solairaju, A and R.Kumar, Optimization of fuzzy inventory model with deteriorating, shortage cost and storage space constraints, Industrial Engineeering Journal, 2008. 28. Solairaju, A and R.Kumar, Fuzzy multi-objective producion inventory model of deteriorating items with shortage and various types of demands, International Review of Pure & Applied Mathematics, Volume 5, Number 1, (January-June)b 2009, 117-134. 29.Solairaju,A, and Raziya begam, R, Antomagic labelings of combinations of Spider graphs, International Journal of combinatorial graph theory and Applications, Volume 2, No.1 (Jan.-June), 105-117, 2009. 30.Solairaju,A, and Raziya begam,R, Elegence of some classes of trees and total edge-magic labelings of certain graphs, Bulletin of the Allahabad Mathematical Scciety, Special memorial volume 24, Part 1, 2009. 31.Solairaju,A, and Raziya begam,R, Some labelings of T4 * Sn, Communicated to Antarctica Journal of Mathematics , 2009.

32.Solairaju, A and Antony Arockiasamy,M, A New class of Graceful Trees, Indian Journal of Mathematics and Mathematical Sciences, Vol.5, No.2, (December 2009), 101-104. 33.Solairaju, A and Antony Arockiasamy,M, Gracefulness of (n-1) C4 * C3 Type of Graphs, accepted for publication in Pacific-Asian Journal of Mathematics, Vol.3, No.1-2, (January-December) 2009. 34. Solairaju, A and Rajasekar, G, On cyclic path covering number of Digraph, Indian Journal of Mathematics and Mathematical Sciences, Vol.5, No.2, (December 2009), 247-255.. 35. Solairaju, A and Rajasekar, G, On cyclic path covering number of Hamiltonian graphs, Indian Journal of Mathematics and Mathematical Sciences, Vol.5, No.2, (December 2009), 257-265.

36. Solairaju, A and Rajasekar, G, On cyclic path covering number of cartesian product of graphs, Pacific-Asian Journal of Mathematics, Volume 3, No.1-2, (January-December) 2009. 37. Solairaju, A and Rajasekar, G, Categorization of the Hamiltonian graph on the basis of cyclic path covering number, accepted for publication in “The Global Journal of Applied Mathematics and Mathematical Sciences, (July-December) 2009” . 38. Solairaju, A and Rajasekar, G, On {em, Vk} cyclic path covering number, Antarctica Journal of Mathematics, Volume 6, 2009.

39. Solairaju, A and Rajasekar, G, An algorithm to cyclic path covering number in graphs, Electronic Notes in Discrete Mathematics (Science Direct) 33 (2009), 21-28 (www.sciencedirect.com). 40. Solairaju, A and Parvathi,N, Graphoidal covering number of direct product of two different paths, International Journal of Computational Matematics and Numerical Simulation, Vol.2, No.1, June 2009, 91-106. 41. Solairaju, A and Kavitha Devi,M, Gracefulness of H-graph K(P2n+1*Pk),

Indian Journal of Mathematics and Mathematical Sciences, Vol.5, No.2, (December 2009), 105-107 42.Solairaju,A,, and Kavitha Devi, M, Gracefulness of Halin graph S3 * Sq, The Global Journal of Applied Mathematics and Mathematical Sciences (GJ-AMMS), Volume 1,Number 2,(July-Dec.),2008,143-145. 43.Solairaju,A,, and Kavitha Devi, M, Gracefulness of H-garph, accepted for publication in Indian Journal of Mathematics and Mathematical Sciences, (July-Dec..), 2009, preprint. 44.Solairaju, A,, and Muruganantham, P, Even-edge gracefulness of Ladder, The Global Journal of Applied Mathematics and Mathematical Sciences (GJ-AMMS), Volume 1,Number 2,(July-Dec.),2008,147-151. 45.Solairaju, A,, and Muruganantham, P, Collineation group of projective planes admitting (P,l)-transitivities, accepted for publication in Pacific-Asian Journal of Mathematics, (July-Dec..), 2009, preprint. 46. Solairaju,A, and Kaladevi, V, On Ternary quadratic graph, Biternary quagratic graph and the Product, Journal of Mathematics & Systems Sciences, Vol.3, No.2, December, 2007, 85-93. 47.Solairaju,A, and Kaladevi, V, On square-free integer divisor graphs, Intelligent Modeling, Allied Publishers Pvt.Ltd, Chennai, India, 79-84, 2008.

48.Solairaju,A,, Vimala,C, and Sasikala,A, Gracefulness of a spanning tree of the graph of cartesian product of Sm and Sn, The Global Journal of Applied Mathematics and Mathematical Sciences (GJ-AMMS), Volume 1,Number 2,(July-Dec.),2008,117-120. 49.Solairaju,A,, Vimala,C, and Sasikala,A, Even-edge Gracefulness of graphs, Pacific-Asian Journal of Mathematics, voluime 3, 1-2 (July-Dec..),2009. 50.Solairaju,A, Sasikala,A, and Vimala,C, Gracefulness of a spanning tree of the graph of cartesian product of Pm and Cn, The Global Journal of Applied Mathematics and Mathematical Sciences (GJ-AMMS), Volume 1,Number 2,(July-Dec.),2008,133-136.. 51.Solairaju,A, Sasikala,A, and Vimala,C, Gracefulness of a spanning tree of the graph of cartesian product of P2 and Cn, Pacific-Asian Journal of Mathematics, voluime 3, 1-2 (July-Dec..),2009.

52.Solairaju,A and Sarangapani,P, “Even-edge gracefulness of Pn nC5,

accepted for publication in 53. Solairaju,A and Mariammal,C.A.Sr., Impact of bad habits of Asthma, National Journal of Interdisplinary publised from St.Joseph’s College, Trichy-2 54. Solairaju,A and Mariammal, C.A.Sr., Exapenditure relatedv study of Asthma, an International Journal of Interdisplinary, publised from Sengamalathayar Arts College, Mannargudi.

2010 - 2011 55..A. Solairaju, and M. Antony Arokiasamy, Gracefulness of F-mill trees, Journal of Analysis and Computation, Vol. 6, No.2, (July-December, 2010), 103-108. 56. A. Solairaju, and M. Antony Arokiasamy, Gracefulness of K-step Staircase graph, Journal of Analysis and Computation, Vol. 6, No.2, (July-December, 2010), 109-114. 57. A. Solairaju, and M. Antony Arokiasamy, Gracefulness of Double-Staircase graph, Journal of Analysis and Computation, Vol. 6, No.2, (July-December, 2010), 115-126. 58. A. Solairaju, C. Vimala and A. Sasikala, Odd-edge Gracefulness of Sm,n, International Journal of Applied Mathematical Analysis and Applications, Volume 5, No.2, (July-December, 2010), 129-137.

59. A. Solairaju, C. Vimala and A. Sasikala, Graphs with unique simple graphoidal cover, International Review of Fuzzy Mathematics, Volume 5, No.1-2, (January-December, 2010), 133-138.

60. A. Solairaju, C. Vimala and A. Sasikala, Odd-edge gracefulness of Pm S5, International Review of Fuzzy Mathematics, Volume 5, No.1-2, (January-December, 2010), 129-132.

61 A.. Solairaju, C. Vimala and A. Sasikala, Odd-edge gracefulness of Cm Sn for n as even, International Review of Fuzzy Mathematics, Volume 5, No.1-2, (January-December, 2010), 123-127. 62. A. Solairaju, C.Vimala and A.Sasikala, Odd-edge gracefulness of S2,n and

P4 S2n-1, International Review of Fuzzy Mathematics, Volume 5, No.1-2, (January-December, 2010), 117-121. 63. A. Solairaju, A. Sasikala, and C. Vimala, Odd-edge gracefulness of 1-2kC4, International Journal of Applied Mathematical Analysis and Applications, Volume 5, No.2, (July-December, 2010), 113-115. 64. A. Solairaju, A. Sasikala, and C. Vimala, Even-edge gracefulness of Strong product of P2 and Cn, International Journal of Applied Mathematical Analysis and Applications, Volume 5, No.2, (July-December, 2010), 123-127. 65. A. Solairaju, A. Sasikala, and C. Vimala, Edge-odd gracefulness of Cartesian product of P3 and Cn, International Journal of Applied Mathematical Analysis and Applications, Volume 5, No.2, (July-December, 2010), 139-143. 66. A. Solairaju, A. Sasikala, and C. Vimala, Edge-odd gracefulness of Cartesian product of P2 and Cn, Journal of Analysis and Computation, Volume 6, No.2, (July-December, 2010), 91-95. 67. A. Solairaju, A. Sasikala, and C. Vimala, Edge-odd gracefulness of Strong product of P3 and Cn, Journal of Analysis and Computation, Volume 6, No.2, (July-December, 2010), 97-101. 68. A. Solairaju, A. Sasikala, and C. Vimala, Edge-odd gracefulness of Cartesian product of P2 and Cn, International Journal of Computer Applications ( 0975-8887), Volume 10, November 2010, pp. 1-3. 69. A. Solairaju, A. Sasikala, and C. Vimala, Edge-odd gracefulness of 2-nC4, 3-nC4, and 4-nC4,, International Journal of Computer Applications ( 0975-8887), Volume 10, November 2010, pp. 4-6. 70. A. Solairaju, A. Sasikala, and C. Vimala, Edge-odd gracefulness of Cartesian product of C3 and Cn, International Journal of Computer Applications ( 0975-8887), Volume 10, November 2010, pp. 7-9.

71. A. Solairaju, C. Vimala, and A. Sasikala, Edge-odd gracefulness of C3

Pn, and C3 2Pn, International Journal of Computer Applications ( 0975-8887), Volume 10, No.9, November 2010, pp. 1-3.

72. A. Solairaju, C. Vimala, and A. Sasikala, Edge-odd gracefulness of S2 Sn, International Journal of Computer Applications ( 0975-8887), Volume 9, No.12, November 2010, pp. 1-3.

73. A. Solairaju, C. Vimala, and A. Sasikala, Edge-odd gracefulness of Pn Sm where m = 5,6,7, and 8, International Journal of Computer Applications ( 0975-8887), Volume 9, No.11, November 2010, pp. 1-2. 74. A. Solairaju & K. Vaikundamoorthy, Bayesian Estimation for Blood Cancer, Indian Journal of Mathematics and Mathematical Sciences, Vol.6, No.1, (June 2010), 101-107. 75. A. Solairaju & K. Vaikundamoorthy, Markov Chain Monto-Carlo Convergence for Blood Cancer, Indian Journal of Mathematics and Mathematical Sciences, Vol.6, No.1, (June 2010), 095-100.

76. A. Solairaju & R. Nagarajan, Q-Fuzzy subgroups -Fuzzy congruence relations on a group, International Journal of Algorithms, Cpmputing and Mathematics, Volume 3, No.3, August 2010, pp. 45 - 50. 77. A. Solairaju & R. Nagarajan, Characterization of Anti Q-Fuzzy R-subgroup modules over Commutative rings, International Journal of Computer Applications (0975-8887), Volume 5, No.3, August 2010, pp. 03 - 07. 78. A. Solairaju & R. Nagarajan, Structures on Fuzzy Groups and L-Fuzzy number, International Journal of Computer Applications (0975-8887), Volume 6, No.3, September 2010, pp. 18 - 22. 79. A. Solairaju & R. Nagarajan, Computing improved Fuzzy optimal Hungarian Assignment problems with Fuzzy cosets under Robust ranking techniques, International Journal of Computer Applications (0975-8887), Volume 6, No.4, September 2010, pp. 06 - 13. 80. A. Solairaju & R. Nagarajan, On Pseudo Fuzzy cosets of Fuzzy normal subgroups, International Journal of Computer Applications (0975-8887), Volume 7, No.6, September, 2010, pp. 34 - 37. 81. A. Solairaju & R. Nagarajan, Some algebraic properties of BCK-Algerba’s and Fuzzy S-Semirings, Antarctica Journal of Mathematics, 7 (1) (2010).. 82. A. Solairaju & R. Nagarajan, Some structure properties of Q-Cyclic Fuzzy group family, Antarctica Journal of Mathematics, 7 (1) (2010)..

83. A. Solairaju & R. Nagarajan, Enumerations of maximal chains and flags in terms of finite abelian groups, Antarctica Journal of Mathematics, 7 (1) (2010).. 85. A. Solairaju, R. Nagarajan, P. Muruganantham & M. Geethalakshmi, Fuzzy dot groups, International Journal of Computer Applications (0975-8887), Volume 15, No.6, February, 2011, pp. 24-29. 86. A. Solairaju, R. Nagarajan, P. Muruganantham & M. Geethalakshmi, On Bipolar anti Q-Fuzzy groups, International Journal of Computer Applications (0975-8887), Volume 15, No.6, February, 2011, pp.30-34. 87. A. Solairaju, R. Nagarajan, P. Muruganantham & M. Geethalakshmi, On Q-Vague Groups and Vague normal subgroup with respeat to (T, SW) Norms, International Journal of Computer Applications (0975-8887), Volume 15, No.7, February, 2011, pp.24-27.

2011 – 2012 88 .A. Solairaju and R.Raziya Begam, Edge-Magic Labeling of some graphs, Accepted for publication in International Journal of Fuzzy Mathematics & Systems (IJFMS), Nov.2011 90. A.Solairaju and R.Raziya Begam, Edge-Magic combinations of spiders, International Journal of Fuzzy Mathematics & Systems (IJFMS), Vol.2, no.1, 65-69. 91. A.Solairaju and R.Raziya Begam, Super Edge-Magic combinations of spiders, International Journal of Fuzzy Mathematics & Systems (IJFMS), Vol.2, n0.1, 71-74 92. A.Solairaju and A. Prasanna, Fuzzy dot algebras over fuzzy dot fields, Global Journal of Mathematical Sciences: Theory &Practical (GJMS), Vol.4, no.1 (2012), 57-61.

93. A.Solairaju and C. Ragavan, Intuitionistic Fuzzifications of R-Ideals in BCI-Algebras, International Journal of Fuzzy Mathematics & Systems (IJFMS), Volume 2, no. 1 (2012), 53-63. 94. A.Solairaju and C. Ragavan, Intuitionistic Fuzzifications of P-Ideals in BCI-Algebras, Accepted for publication in International Journal of Mathematical Research, (IJMR), Volume 4, no. 2 (2012), 133-144 95. A.Solairaju and C. Ragavan, Intuitionistic Fuzzifications of Ideals in BCI-Algebras, International Journal of Mathematical Research (IJMR), Vol. 4, no. 2 (2012), 145-154

96. A.Solairaju and C. Ragavan, Intuitionistic Fuzzifications of a-Ideals in BCI-Algebras International Journal of Mathematical Research (IJMR), Vol.4, no.2, 155-165 97. A.Solairaju and C. Ragavan, Intuitionistic Fuzzifications of h-Ideals in BCI-Algebras International Journal of Mathematical Research (IJMR), Vol.4, no.1, 166-178 98. A.Solairaju and S. Ambika, Gracefulness of a unicycle graph from copies of stars on cycles Mathematical Modeling and Applied Computing (MMAC), Volume 3, Number 1, pp.09-14, 2012 99. A.Solairaju and S. Ambika, Gracefulness of a new class of Mirror image of copies of nC3 and Mirror image of copies of Double nC3, Mathematical Modeling and Applied Computing (MMAC), Volume 3, Number 1, pp. 15 - 22, 2012 100. A.Solairaju and S. Ambika, Gracefulness of a new class of stars merging with E-trees, Mathematical Modelling and Applied Computing, (MMAC), Volume 3, Number 1, pp. 23 - 28, 2012 101. A.Solairaju and S. Ambika, Gracefulness of a new class from copies of En-Tree

and nC3, International Journal of Computational and Applied Mathematics (IJCAM), Volume 7, Number 2, pp. 161-167, 2012 102. A.Solairaju and S. Ambika, Gracefulness of a new class from copies of Pn*kC4 and Pn*kC4, International Journal of Computational and Applied Mathematics (IJCAM), Volume 7, Number 2, pp. 167 – 171, 2012

103. A.Solairaju and S. Ambika, Gracefulness of a new class from copies of kC4P2n and P2* nC3, International Journal of Fuzzy Mathematics & Systems (IJFMS), Volume 2, Number 1, 75 – 81, 2012 104. A.Solairaju and S. Ambika, Gracefulness of a new class of stars merging with trees, International Journal of Fuzzy Mathematics and Systems (IJFMS), Volume 2, Number 1, pp. 83 – 94, 2012

105. A. Solairaju, R. Nagarajan, P. Muruganantham and M. Geethalakshmi,

On Bipolar Anti Q-Fuzzy groups, International Journal of Computer Applications

(0975-8887), Volume 15, No.6, February, 2011, pp.30-34

106. A. Solairaju, R. Nagarajan, P. Muruganantham and M. Geethalakshmi,

Fuzzy dot groups, International Journal of Computer Applications (0975-8887),

Volume 15, No.6, February, 2011, pp.25- 29

107. A. Solairaju, R. Nagarajan, and P. Muruganantham, Structures in Q-Fuzzy Gamma Subgroups With Respect to T-norms, International Journal of open

problems in Mathematics and Applications, Volume 1, No.1, March, 2011, pp.31-41

108. A. Solairaju, R. Nagarajan, and P. Muruganantham, Bi Q-Fuzzy ideals of Semi-groups With respect to (T,S) norms , International Journal of Fuzzy

Mathematics and Systems, Volume 1, No. 3, (2011), pp.237 - 244.

109. A. Solairaju, R. Nagarajan, and P. Muruganantham, Some –Structure Properties of Upper Q-Fuzzy Index Order With Upper Q-Fuzzy Subgroups, Accepted

for publication in the Journal of International Journal of open problems in Mathematics and Applications, (July – Dec,), 2011.

110. A. Solairaju, and R. Nagarajan, Structure properties of Upper Q-fuzzy index order with upper Q-fuzzy subgroups, International Journal of Open problems in Mathematics and Applications, Vol. 1, No.1, 2011, 21-29. 111. A. Solairaju, and R. Nagarajan, Lattice Structures fuzzy rings under Triangular norms, International Journal of Fuzzy systems and Rough systems, Vol. 4, No.1, 2011, 33 - 37. 112. A. Solairaju, and R. Nagarajan, Sensible Lattice Fuzzy Q-fuzzy normal subgroups of Q-fuzzy lattice, Advances in Applied Mathematical Sciences, Vol. 6, No.1, 2011, 85- 94. 113. A. Solairaju, and R. Nagarajan, Structures of Q-fuzzy Gamma subgroups with respect to T-norms, International Journal of Open problems in Mathematics and Applications, Vol. 1, No.1, 31-41 . 114. A. Solairaju, and R. Nagarajan, Direct Product of Sensible Q-fuzzy normal soft lattices under fuzzy hedges, Accepted for the publication in Bulletin of Pure and Applied Sciences, 2011 115. A. Solairaju, and R. Nagarajan, Anti Q-fuzzy G-Module distributive Lattice, Accepted for the publication in International Journal of Pure and Applied Sciences and Technology, 2011

116. A. Solairaju, and R. Nagarajan, -identity and absoluter Q-fuzzy soft normal subgroups, Accepted for the publication in Theory of Mathematical Applications, 2011 117. A. Solairaju, and A. Sathik Batcha, Edge–odd graceful of Leaf graphs containing Triangles and Squares, International Journal of Fuzzy Mathematics and Sciences, Volume 1, Number 3, 2011 , 245-252.

2012 – 2013 118. A.Solairaju, G.S. David Sam Jayakumar, and M. Kavitha Devi, A New Generalization of Sam-Solai’s Multivariate Laplace Distribution, Global Journal of Mathematical Sciences: Theory &Practical (GJMS), Volume 4, no.1, 63-80 (2012) 119. A.Solairaju, G.S. David Sam Jayakumar, and M. Kavitha Devi, A New Generalization of Sam-Solai’s Multivariate Cauchy Distribution of Type – I, Global Journal of Theoretical and Applied Mathematics Science (GJTAMS), volume 2, no.1, 49 – 61, 2012

120. A.Solairaju, G.S. David Sam Jayakumar, and M. Kavitha Devi, A New Generalization of Sam-Solai’s Multivariate Cauchy Distribution of Type – II, Global Journal of Theoretical and Applied Mathematics Science (GJTAMS), Volume 2, no.1, 63-75, 2012

121. .A .Solairaju, G.S. David Sam Jayakumar, and M. Kavitha Devi, A New Generalization of Sam-Solai’s Multivariate t-Distribution, Global Journal of Mathematical Sciences: Theory &Practical (GJMS), Vol. 4, Number 1, pp881- 95, 2012

122. A.Solairaju, and G.S. David Sam Jayakumar,, A New Generalization of Sam-Solai’s Multivariate Normal Distribution, Journal of Interdisciplinary Mathematics, Vol. 15, Number 2 & 3, pp. 103 – 120,, 2012,

123. A.Solairaju, and G.S. David Sam Jayakumar,, A New Generalization of Sam-Solai’s Multivariate Symmetric Arcsine distribution of kind – I, IOSR Journal of Mathematics, Vol. 2, Issue 3, pp. 42 – 48,, 2012,

124. A.Solairaju, and G.S. David Sam Jayakumar,, A New Generalization of Sam-Solai’s Multivariate Logistic Distribution, Accepted for the publication in Journal of Interdisciplinary Mathematics, 2012, 125. A.Solairaju, and G.S. David Sam Jayakumar,, A New Generalization of Sam-Solai’s Multivariate Additive Nagakami-M Distribution, Research Journal of Pure Algebra, Vol. 2 (9),, pp. 267 – 278,, 2012,

126. A.Solairaju, and G.S. David Sam Jayakumar,, A New Generalization of Sam-Solai’s Multivariate Symmetric Arcsine distribution of kind – II, Math. Sci. Res. J., Vol. 8, pp. 195 – 205,, 2012,

127. A.Solairaju, and G.S. David Sam Jayakumar,, A New Generalization of Sam-Solai’s Multivariate Wiener Distribution of kind – I of type B, Accepted in Research Journal of Pure Algebra, 2012,

128. A.Solairaju, and G.S. David Sam Jayakumar,, A New Generalization of Sam-Solai’s Multivariate Additive Exponential Distribution, Accepted in Research Journal of Pure Algebra, 2012,

129. A. Solairaju, R. Nagarajan and A. Prasanna, Enumerations of maximal chains and flags interms of finite abelian groups, Antarctica J. of Math., 9 (4), pp. 331 – 341, 2012, www.dimainmoon.com 130. A. Solairaju, R. Nagarajan and A. Prasanna, Some Algebraic properties of BCK-Algebra’s and Fuzzy S-Semigroups, Antarctica J. of Math., 9 (4), pp. 343 – 350, 2012, www.dimainmoon.com

131. A. Solairaju, R. Nagarajan and A. Prasanna, Some Structure properties of Q-cyclic fuzzy group family, Antarctica J. of Math., 9 (4), pp. 351 – 358, 2012, www.dimainmoon.com

132. A. Solairaju, and A. Prasanna, Anti-homomorphism in Q-fuzzy ideals, Accepted for publication in Antarctica J. of Math., 2012,

133. A. Solairaju, and A. Prasanna, Notes on anti Intuitionistic Q-Min fuzzy ideals of a hemiring, Accepted for publication in Antarctica J. of Math., 2012,

134. A. Solairaju, and A. Prasanna, Notes on anti Intuitionistic Q fuzzy ideals of a hemiring, Accepted for publication in Antarctica J. of Math., 2012,

135 A. Solairaju, and A. Prasanna, Notes on anti Intuitionistic Q-Max fuzzy ideals of a hemiring, Accepted for publication in Antarctica J. of Math., 2012,

136. A. Solairaju, and A. Prasanna, Some structure of Anti Intuitionistic Q-fuzzy d-ideals interms of BG-Algebra’s, Accepted for publication in Antarctica J. of Math., 2012,

2013-2014 137. A. Solairaju, P. Sarangapani, and R. Nagarajan, Union fuzzy soft N-group, International Research Journal of Pure Algebra, Vol. 3 (6), pp. 242-246, 2013.