Department of Mathematics

Faculty Profile

List of Candidates doing Ph.D under the guidance of Dr.G.Nirmala in the following universities:

1. Bharathidasan University

 Manonmaniyam Sundaranar University:

Periyar Maniyammai University

MAJOR RESEARCH PROJECT   :  UGC Sponsored Major Research Project

“Fuzzy Graphs in Mathematical Models Applying Fuzzy   Rule Based Systems”, Amount sanctioned Rs. 9,00,800 /- UGC XII PLAN, April’2013.

POSITION HELD                           

1. Deputy Warden,(1991-93) K.N.G.A.C., Hostel, Thanjavur.
2. Controller of Examination,(2008-2010,) K.N.G.A.C.,Thanjavur.
3. College  Library  Incharge (2010 onwards)
4. Digital Library Incharge (2010 onwards)
5. UGC Co-Ordinator – XII Plan (2012 onwards)
6. Academic Council Member Secretary (2012 – 14)           
7. Parents Teachers Association Incharge  (2012 – 2014)
8. Bharathidasan University Senate Member (2013 – 2016)

MEMBERS IN THE VARIOUS ACADEMIC BODIES:

Bharathidasan University – Trichy,                                                                
Bharathiyar University – Coimbatore,
Madurai Kamarajar University – Madurai,  
Madras University – Chennai,
Periyar Maniyammai University – Vallam.

BOARD OF STUDIES MEMBER        

R.S.G.A.C., Thanjavur.
A.V.V.M. Sri Pushpam College, Thanjavur.
Govt. Arts College(W), Pattukottai.

DOCTORAL COMMITTEE MEMBER

Govt. Arts College(Auto), Kumbakonam.
A.V.V.M Sri Pushpam College(Auto), Poondi.
Rajah Serfoji Govt. College(Auto), Thanjavur.

RESOURCE PERSON

College                        :           Cochin University, Kerala
Invited Talk                  :           Genitic Algorithm.

College                        :           Periyar Maniyammai University, Thanjavur
Invited Talk                  :           Fuzzy Applications.

College                        :           Holy Cross College, Trichy
Invited Talk                  :           Genetic Algorithm.

College                        :           Maruthu Pandiyar Arts and Science College, Thanjavur
Invited Talk                  :           Applications of Mathematics.

College                        :           Sengamalathayar Educational Trust College, Mannargudi
Invited Talk                  :           Genetic Algorithm with Fuzzy Neural Network.

College                        :           Bon Secours College of Arts and Science
Invited Talk                  :           Genetic Algorithm with Fuzzy Neural Network.

CHAIR PERSON

1. PRIST University, Thanjavur
2. National Conference, Govt. Arts College for Women (Auto), Pudukkottai
3. International Conference, Periyar Maniyammai University, Thanjavur.

LIST OF PUBLICATIONS:

1. G.Nirmala and Ramaraj, T (2004) “Parallel hybrid learning genetic algorithm fuzzy neural network”, Varahmihir J. Math. Sci., Sandipani Academy, UJJAIN, India, 4(1):321-329(ISSN)
2. G.Nirmala and Ramaraj, T (2004)” Genetic Algorithm to formulate Quadratic Steiner tree problem of optimal Neuro Fuzzy Network:, ACTA Ciencia Indica 31(3): 897-902 (ISSN)
3. G.Nirmala and Ramaraj, T (2004)” Genetic fuzzy rule based system neural networks multi-stage composition”, Indian J. Sci. Arts Commerce (ISAC),            I(1): 45-49 (ISSN)
4. G.Nirmala and Ramaraj, T (2004) .  GA multi objective problems parallel machines, Varahmithir Journal of Mathematical sciences, (ISSN)
5. G.Nirmala and Ramaraj, T (2004). “Genetic algorithm MIMIC of Markov chain”, Proceedings of the Second National Conference on Mathematical and technology,Coimbatore, Tamil Nadu, South India.
6. G.Nirmala and Ramaraj, T (2004). “Genetic Algorithm for Maximum - model discrimination design-Marix-Represented Solutions”, (19-22nd February, 2004). Cochin University of Science and Technology, Kochi. (ISSN)
7. G.Nirmala and Ramaraj, T (2004). “Genetic Algorithim Matrix Neural Network Stochastic Relaxation Methods”,  Paper presented and published in the Proceedings of the UGC sponsored National Seminar on Mathematical Modelling  (24-25th,September 2004), A.D.M. College, Nagapattinam, Tamil Nadu, South India, pp. 179-190
8. G.Nirmala and Ramaraj, T (2004). “Novel Approach Of Genetic Algorithm Fuzzy Neural Networks”,  Paper presented and published in International        Conference on Discrete Mathematics and its Applications (9-11th December,2004)Amrita Vishwa Vidyapeetham Deemed University, Coimbatore, Tamil Nadu, South India, pp.208-219. (ISSN).
9. G.Nirmala and Ramaraj, T (2004). “Engineering Design-Parallel Hybrid Learning Genetic Algorithm-Fuzzy Neural Network, Published in Acta Cinencia Indica. (ISSN)
10. G.Nirmala and Ramaraj, T (2004). “Cellular GA Recurrent Neural Network”, Published Acta Cinencia Indica. (ISSN)
11. G.Nirmala and Ramaraj, T (2004). “Advantage of GA with Neuro-fuzzy Network” Published ED Journal of Indian Academy of Mathematics (ISSN)      
12. G.Nirmala and M.Vijaya –APPLICATION OF FUZZY BACK PROPOGATION NETWORK – International Journal of Humanities   and      Sciences,Vol.2  2011,(ISSN).
13. G.Nirmala and  D.R.Kirubaharan – APPLICATION OF TIME     SCHEDULING AND MAP COLOURING OF GRAPH THEORY,        International Journal of Applied Science Periodical -  Vol – 1,2011.
14. G.Nirmala and D.R.Kirubaharan – USESES OF LINE GRAPH,  International    Journal of Humanities and Sciences PMU – VOL.2 – 2011.
15. G.Nirmala and S.Suganthi,Lagrange’s THEOREM IN FUZZY APPROACH,     The PMU International Journal of HUMANITIES AND SCIENCES,VOL.2.NO.2,ISSN 0976 – 1853,JULY – DECEMBER 2011.
16. G.Nirmala and S.Suganthi, FUNDAMENTAL THEOREM OF     HOMOMORPHISM IN FUZZY  SUBGROUPS, Scientific Transactions in      Environment and Technovation, 2012.
17. Dr.G.Nirmala and Mr.D.Ramprasad  “ Genetic Algorithm Approach for Minimizing Waiting Times in Railway Networks”, Narosa Publication (2010),  ISBN   978-81-8487-074-9.
18. Dr.G.Nirmala and Mr.D.Ramprasad  “ Genetic operators with Algebra of Equivalence  Relations “International Journal of Humanities and Sciences    PMU – VOL.2 – 2011.
19. Dr.G.Nirmala and Mr.D.Ramprasad  “Application of Genetic Algorithm           in Graph theory “ International Journal of Scientific and Research        Publications, Volume 2,Issue 7,(July 2012),ISSN 2250-3153.
20. Dr.G.Nirmala and Mr.D.Ramprasad  “ Innovtive PMX – CX – Operators         for GA to TSP “International Journal of Scientific and Research Publications,         Volume 2,Issue 9,(Sep 2012),ISSN 2250-3153
21. G.Nirmala and S. Priyadharshini – FUZZY SUBALGEBRA AND ITS PROPERTIES, INTERNATIONAL JOURNAL OF COMPUTER, MATHEMATICAL SCIENCES AND APPLICATIONS – Vol. – 2, 2011.
22. G.Nirmala and S.Priyadharshini – FUZZY ALGEBRA AND GROUPS , INTERNATIONAL JOURNAL OF COMPUTER, MATHEMATICAL         SCIENCES AND APPLICATIONS – Vol.1 - 2012
23. G.Nirmala and  M.Vijaya – DECOMPOSITION OF HAMILTONIAN    FUZZY CYCLES, International Journal of Scientific and Research     Publications – Oct’2012.
24. G.Nirmala  M. Vijaya and Kayalvizhi, Fuzzy Number-Imprecise    Aspects of Real world problems- Narosa Publishing House-2010 (ISBN).
25. G.Nirmala and M.Vijaya – STRONG FUZZY GRAPHS ON        COMPOSITION TENSOR & NORMAL PRODUCTS, Aryabhatta            Journal of Mathematics and Informatics Vol.2 – 2012,(ISSN).
26. G.Nirmala and M.Vijaya – FUZZY ISOMORPHISM THEOREMS ON COMPOSITION OF GRAPHS, International Journal of Humanities and        Sciences PMU – Vol.2 – 2012.
27. G.Nirmala and M.Vijaya –APPLICATION OF FUZZY BACK PROPOGATION  NETWORK – International Journal of Humanities   and Sciences, Vol.2 –   2011  (ISSN).
28. G.Nirmala and M.Vijaya – FUZZY GRAPHS ON COMPOSITION   TENSOR & NORMAL PRODUCTS, International Journal of Scientific and Research Publication. Vol.2 – issue-6, June’2012.
29. G.Nirmala and  D.R.Kirubaharan – HIGHER EDUCATION ADMISSION ALGORITHM USING SCORE-LIMIT RANKING PREFERENCE,         
30. G.Nirmala and  D.R.Kirubaharan –  APPLICATION OF NETWORK ON REAL LIFE PROBLEM, Applied Science Periodical, Vol.15, No- 3, Aug’2013,   ISSN – Accepted.
31. G.Nirmala and D.R.Kirubaharan – OPTIMAL MATCHING PROCESS FOR THE MANUFACTURE OF SLINED SHAFT BY USING NETWORK THEORETICAL APPROACH, Aryabhatta  International Journal of Mathematics and Informatics, ISSN:0975-7139, May’2012.
32. G.Nirmala and D.R.Kirubaharan – REAL LIFE PROBLEM ON MAD WITH RTS, International Journal of Scientific and Research Publications, Vol. – 1, May’2012.
33. G.Nirmala and K.Uma–Fuzzy Graph – Estimations of Strongest    Weight– International Journal of Humanities and Sciences, Vol.2 – 2011 (ISSN)
34. G.Nimala and K.Uma,  Maximal Bipartite Fuzzy Graph Algorithm-, Narosa Publishing House-2010 (ISBN)
35. G.Nirmala and K.Uma FUZZY P-MEDIAN TREE SEARCH       ALGORITHM, International Journal of Humanities and Sciences PMU  –2012
36. G.Nirmala and K.Uma- FUZZY SPANNING TREE FLOW EQUIVALENT ALGORITHM, International Journal of Scientific and Research Publication, Vol-2, Issue-6, Jun’2012.
37. G.Nirmala and K.Uma – FUZZY SHORTEST ALGORITHM FOR TELEPHONE CONNECTION, International Journal of Scientific and Research Publication, Vol-2, Issue-8, August’2012
38. G.Nirmala and M.Sheela - FUZZY EFFECTIVE SHORTEST SPANNING TREE ALGORITHM , International Journal of Scientific Transactions in Environment and Technovation Vol-1(2012)
39. G.Nirmala and M.Sheela -  FUZZY DOMINATION       NUMBER,SCP, International Journal of Humanities and Sciences PMU – Vol-2(2012)
40. G.Nirmala K.Dhanabal  - FUZZY PLANNER GRAPH EMBEDDED IN S2,  International Journal of Humanities and Sciences PMU –2012
41. G.Nirmala and S.Priyadharshini - P- FUZZY NORMAL SUBGROUP, International Journal of Humanities and Sciences PMU – 2012
42. G.Nirmala and R.Anju - FUZZY RULE BASED INFERENCE DECISION  MAKING PROCESS,   International Journal of Humanities and Sciences PMU – 2012
43. G.Nirmala and  K.Dhanabal – ALGORITHM FOR CONSTRUCTION OF SELF COMPLEMENTARY FUZZY KV1,V2  GRAPHS - ,Aryabhatta  International          Journal of Mathematics and Informatics – VOL.4 - 2012.
44. G.Nirmala and M.Vijaya – STRONG FUZZY GRAPHS ON        COMPOSITION TENSOR & NORMAL PRODUCTS, Aryabhatta            Journal of Mathematics and  Informatics Vol.2 – 2012,(ISSN)
45. G.Nirmala and M.Vijaya – FUZZY ISOMORPHISM THEOREMS ON COMPOSITION OF GRAPHS, International Journal of Humanities and Sciences PMU – Vol.2 – 2012
46. G.Nirmala and M.Vijaya –APPLICATION OF FUZZY BACK PROPOGATION  NETWORK – International Journal of Humanities   and Sciences, Vol.2–2011    (ISSN)
47. G.Nirmala and M.Vijaya – FUZZY GRAPHS ON COMPOSITION        TENSOR & NORMAL PRODUCTS, International Journal of Scientific       and Research Publication. Vol.2 – issue-6, June’2012.
48. G.Nirmala and K.Uma–Fuzzy Graph – Estimations of Strongest    Weight– International Journal of Humanities and Sciences, Vol.2 – 2011 (ISSN)
49. G.Nimala and K.Uma Maximal Bipartite Fuzzy GraphAlgorithm-, Narosa Publishing House-2010 (ISBN).
50. G.Nirmala and K.Uma FUZZY P-MEDIAN TREE SEARCH       ALGORITHM, International Journal of Humanities and Sciences PMU –2012.
51. G.Nirmala and K.Uma- FUZZY SPANNING TREE FLOW EQUIVALENT ALGORITHM, International Journal of Scientific and Research Publication, Vol-2, Issue-6, Jun’2012.
52. G.Nirmala and K.Uma – FUZZY SHORTEST ALGORITHM FOR TELEPHONE CONNECTION, International Journal of Scientific and Research Publication, Vol-2, Issue-8, August’2012
53. G.Nirmala and M.Sheela - FUZZY EFFECTIVE SHORTEST SPANNING TREE ALGORITHM , International Journal of Scientific      Transactions in Environment and Technovation Vol-1(2012)
54. G.Nirmala and M.Sheela -  FUZZY DOMINATION         NUMBER,SCP, International Journal of Humanities and Sciences PMU – Vol-2(2012)
55. G.Nirmala and  M.Sheela  - GLOBAL AND FACTOR    DOMINATION IN FUZZY GRAPH,  International Journal of Scientific and Research Publications-Vol-2, issue-6-June 2012
56. G.Nirmala K.Dhanabal  - FUZZY PLANNER GRAPH EMBEDDED IN S2,  International Journal of Humanities and Sciences PMU –2012
57. G.Nirmala and S.Priyadharshini - P- FUZZY NORMAL SUBGROUP, International Journal of Humanities and Sciences PMU – 2012
58. G.Nirmala and R.Anju - FUZZY RULE BASED INFERENCE DECISION  MAKING PROCESS,   International Journal of Humanities and Sciences      PMU – 2012.
59. G.Nirmala and S.Suganthi – LAGRANGE’S THEOREM IN FUZZY APPROACH, International Journal of Humanities and Sciences PMU –VOL.2 – 2011
60. G.Nirmala and N.Vanitha,Risk of construction project with Fuzzy characteristics- International Journal-Narosa Publishing House-2010.          (ISBN)
61. G.Nirmala and S.Jeevitha  Fuzzy cognitive Maps in Socio-Economic problems- Narosa Publishing House-2010. (ISBN)
62. G.Nirmala and G.Suvitha,  Mathematical-Norm basedpredicate Logic- Narosa Publishing House-2010 (ISBN)
63. G.Nirmala S. Velmurugan and S.Arun Kumar.  HybridIntelligent Algorithm with Fuzzy bidding Engineering Quantities- Narosa Publishing House-2010 (ISBN).
64. G.Nirmala and  K.Dhanabal – ALGORITHM FOR CONSTRUCTION OF SELF COMPLEMENTARY FUZZY KV1,V2  GRAPHS - ,Aryabhatta  International          Journal of Mathematics and Informatics – VOL.4 - 2012.
65. G.Nirmala and  M.Suganthi – FUNDAMENTAL THEOREM OF HOMOMORPHISM IN FUZZY SUBGROUPS, International Journal of Scientific    Transaction in Environment and Technovation– Sep’2012.
66. G.Nirmala and  M.Sheela – FUZZY EFFECTIVE SPANNING TREE, International Journal of Scientific Transaction in Environment andTechnovation Sep’2012.
67. G.Nirmala, N.Vanitha and S.Jeevitha – APPLICATION OF FUZZY DECISION MAKING FOR THE STABLE MARRIAGE PROBLEMS, International             Journal of Humanities and Sciences PMU – Vol.2 – 2012.
68. G.Nirmala and  N.Sathya – TSP – A VERSATILE MODELLING TOOL, International Journal of Humanities and Sciences PMU –Vol.2 -  2012.
69. G.Nirmala and B.Sridevi – BINOMIAL NETWORK TO VISUALIZING A STOCHASTIC PROCESS, International Journal of Humanities and Sciences PMU – Vol.2 – 2012.
70. G.Nirmala and M.Sheela – FUZZY DOMAIN NUMBER, SCP, International Journal of Humanities and Sciences PMU – Vol.2 – 2012
71. G.Nirmala and D.R.Kirubaharan – USESES OF LINE GRAPH,  International Journal of Humanities and Sciences PMU – VOL.2 – 2011.
72. G.Nirmala and S.Suganthi – LAGRANGE’S THEOREM IN FUZZY APPROACH, International Journal of Humanities and Sciences PMU –VOL.2– 2011
73. G.Nirmala and S.Suganthi,Lagrange’s THEOREM IN FUZZY APPROACH, The PMU International Journal of HUMANITIES AND SCIENCES,VOL.2.NO.2,ISSN             0976 – 1853,JULY – DECEMBER 2011.
74. G.Nirmala and S.Suganthi, Fuzzy Sub - Trigroup – Trilevel Properties, International Journal of Scientific and Research Publications, Volume 2, Issue 6, June 2012
75. G.Nirmala and S.Suganthi, FUZZY ALGEBRAIC STRUCTURES – APPLICATIONS AND RELATED PROBLEMS, the PMU International JOURNAL of HUMANITIES AND SCIENCES. Vol – 1, 2012.
76. G.Nirmala and S.Priyadharshini – Q- CUT WITH P-FUZZY ALGEBRA, Proceedings of International Conference Bishop Heber College - Thiruchirappalli –2011
77. G.Nirmala and S.Suganthi, FUNDAMENTAL THEOREM OF HOMOMORPHISM IN FUZZY  SUBGROUPS, Scientific Transactions in Environment and Technovation, 2012.
78. Dr.G.Nirmala and Mr.D.Ramprasad  “ Genetic operators with Algebra of Equivalence  relations “ International conference on Algebra and its applications, PMU journal (Accepted).
79. Dr.G.Nirmala and Mr.D.Ramprasad  “Application of Genetic Algorithm in Graph theory “ International Journal of Scientific and Research Publications, Volume 2,Issue 7,(July 2012),ISSN 2250-3153.
80. Dr.G.Nirmala and Mr.D.Ramprasad  “ Innovtive PMX – CX – Operators for GA to TSP “International Journal of Scientific and Research Publications, Volume2, Issue 9,(Sep 2012),ISSN 2250-3153
81. G.Nirmala and S. Priyadharshini – FUZZY SUBALGEBRA AND ITS PROPERTIES, INTERNATIONAL JOURNAL OF COMPUTER, MATHEMATICAL SCIENCES AND APPLICATIONS - 2011.
82. G.Nirmala and S.Priyadharshini – FUZZY ALGEBRA AND GROUPS , INTERNATIONAL JOURNAL OF COMPUTER, MATHEMATICAL SCIENCES AND APPLICATIONS – Vol.1 - 2011
83. G.Nirmala and S.Priyadharshini – Q- CUT WITH P-FUZZY ALGEBRA, Proceedings of International Conference Bishop Heber College - Thiruchirappalli  – 2011.
84. G.Nirmala and  S.Priyadharshini – P – FUZZY ALGEBRA WITH DATABASE TO FACILITATE UNCERTAINITY MANAGEMENT –Aryabhatta  International Journal of Mathematics and Informatics – 2012.
85. G.Nirmala and S.Priyadharshini – P- FUZZY ALGEBRA AND ITS CHARACTERISTICS, International Journal of Scientific and Research Publications – Oct’2012.
86. G.Nirmala and  M.Vijaya – DECOMPOSITION OF HAMILTONIAN FUZZY CYCLES, International Journal of Scientific and Research Publications –Oct’2012.
87. G.Nirmala , M. Vijaya and Kayalvizhi, Fuzzy Number-Imprecise   Aspects of Real world problems- Narosa Publishing House-2010 (ISBN).
88. G.Nirmala and K.Dhanabal – Planar Self Complementary Fuzzy Graph –  International Journal of Humanities and Sciences, Vol.2 – 2012.
89. G.Nirmala and N.Vanitha – Rick Construction   Properties – ISSN – Aryabhatta Journal of  Methametics  - Accepted
90. G.Nirmala, S.Suvitha – Fuzzy Rule based system – International Journal of scientific and research publications.
91. Implications Relation in Fuzzy Propositions – Aryabahatta Journal of Mathematics & Information – Vol 6 – may 2014 (Accepted).
92. Genetic Algorithm With Topology To Solve Minimizing Waiting Time Of Assembly Line Balancing Problem - Aryabahatta Journal of Mathematical & Information – vol 6– may 2014 (Accepted).
93. Fuzzy Multiple Domination in steineer tree problem – International Journal of Scientific & Research Publication (IJSRP) – vol – 3 –Issue – 12 – Dec – 2013 ISSN 2250-3153.
94. Shortest Route Algorithm Using Fuzzy Graph - International Journal of Scientific & Research Publication – vol – 3 –Issue – 12 – Oct – 2013.