Dr. V. Lakshmana Gomathi Nayagam
Full Curriculum vitae click here
Qualifications
 B.Sc.,(Mathematics)  Madurai Kamaraj University (1992).
 M.Sc.,(Mathematics)  Manonmanium Sundaranar University (1994).
 M.Phil.,(Mathematics)  Madurai Kamaraj University (1995).
 Ph.D.,(STUDIES IN FUZZY STRUCTURES)  Madurai Kamaraj University (2002).
Employment Profile
 18 Years of Teaching
 Lecturer in Mathematics (Part time), Mannar Thirumalai Naicker College, Madurai04, From 16^{th} October 2000 to 17th August 2001.
 Lecturer in Mathematics, Thiagarajar College of Engineering, Madurai15, From 26^{th} September 2001 to 20 June 2006.
 Assistant Professor of Mathematics, National Institute of Technology, Trichy  15, From 21^{st }June 2006 to 11^{th} March, 2018
 Associate Professor of Mathematics, National Institute of Technology, Trichy  15, From 12^{th} March 2018.
Specialization
 Fuzzy Topological Structures.
 Fuzzy Algebraic Structures.
 Fuzzy Mathematical Modelling: Theory and Applications.
 All Engineering Mathematics.
Academic /Administrative Responsibilities
Position

Faculty/Department/Centre/Institution

From

To

Warden

NITT Hostels

2009

2015

Faculty in Charge

I year Mathematics

2007,
2011

2008,
2012

Chairman

Transport Section

2013

2016

Member and Initiator

Department Purchase Committee

2013

2014

Associate Dean

Institute Development (Hospital, Security, Transport, Quarters allotment)

2015

2017

Convenor

Estate Welfare Committee

2014

2016

Faculty Advisor

3D Modelling

2014

2017

Faculty Advisor

PSI Racing

2014

2017

Faculty Advisor

Task Force (Emergency help centre, RECycle)

2014

2018

Faculty Advisor

Maximus (Mathematic Club)

2014

Till date

Sponsored Projects
 Lead Investigator, India, Training on Fuzzy Topology and its Applications under TEQIP 2006  2009 to Department of Mathematics, University of Auckland, New Zealand.
 Lead Investigator, India, Applied Soft Computing for Industries, UKIERI Skill Development Project under UKIERI 20122013 to Operations and Information Management Group, Aston Business School, Aston University, United Kingdom.
 CoInvestigator  Municipal Solid Waste (MSW) to Energy: Decision Support System (DSS) for Supply Chain Design and Planning under UGCUKIERI 20122013.
 Principal Investigator, Decision Support System for Incomplete Interval Information under Scheduled Caste Sub Plan (ScSP), Tribal Sub Plan (TSP) And Persons With Disabilities (PwD), MHRD Scheme, 20142017.
Conferences/Seminars/Workshop Conducted
 Three days workshop on Soft Computing under TEQIP, Department of mathematics, National Institute of Technology, Trichy15, from 15.11.2007 to 17.11.2007.
 Two weeks SDP on Fuzzy Logic : Theory and Engineering practices under AICTE – MHRD, Department of mathematics and Production Engineering, National Institute of Technology, Trichy15, from 16. 06. 2008 to 28. 06. 2008.
 Two days workshop on Computational models, tools and techniques in bioinformatics under TEQIP, Department of mathematics and Computer Applications, National Institute of Technology, Trichy15, from 26. 09. 2008 to 27.09.2008.
 Two weeks SDP on Engineering practices on Fuzzy Logic, Neural Networks and Hybrid intelligent Systems under AICTE – MHRD, Department of mathematics and EEE, National Institute of Technology, Trichy15, from 15. 06. 2009 to 27.06.2009.
 Two weeks SDP on Engineering practices on Fuzzy Logic and Neural Networks under AICTE – MHRD, Department of mathematics and EEE, National Institute of Technology, Trichy15, from 21. 06. 2010 to 03. 07. 2010.
Conferences/Seminars/Workshop attended (20132018)
Seminars/Workshop attended for downloading click here.
 Resource Person, State Level Seminar on Recent Trends in Applications of Mathematics, 050213 to 070213, Department of Mathematics, Nandha Arts and Science College, Erode.
 Resource Person, UGCSAP (DRS II) Seminar, 090213, Department of Mathematics, Gandhigram Rural Institute, Gandhigram.
 Resource Person, National Seminar on Emerging Trends in Mathematics, 270213 to 280213, Department of Mathematics, P.C.Jabin Science College, Hubli, Karnataka.
 Resource Person, Recent Emerging Trends in Applied Mathematics, 210313, Department of Mathematics, Sudharsan Engineering College, Pudukkottai.
 Resource Person, AICTE Sponsored Twoweeks staff Development Programme on New Research Tools for Evolutionary Robotics, 15.05.2013, E.G.S. Pillay Engineering College, Nagapattinam.
 Resource Person, Advances and Applications in Mathematical Modelling, 150413, to 160413, Department of Mathematics, The Madura College, Madurai.
 Resource Person, Three days National Conference on Applications of Discrete and Fuzzy Mathematics, July 1517, 2013 at Federal Institute of Technology, Kerala.
 Resource Person, Guest Lecture on Decision Support System, 05.08.2013, PG Department of Mathematics, Vellalar College for Women, Erode.
 Resource Person, State Level Workshop on Fuzzy Mathematics and Its Utilities, 14.08.2013, Nirmala College for Women, Coimbatore.
 Resource Person, Two Days National Level Conference MEGA2013, August 2021, 2013, Sri Sarada Niketan College for Women, Amaravathipudur.
 Resource Person, Refresher Course on Advances in Algebra and Analysis, 08.11.2013, Madurai Kamaraj University, Madurai.
 Resource Person, National Conference on Emerging Trends in Advanced Mathematics, February 67, 2014 at Jyoti Nivas College Autonomous, Bangalore.
 Resource Person, National Conference on Fuzzy Logic and its Applications to Computer Science, 21.02.2014, Baselios Poulose II Catholicos College, Piravom, Kerala.
 Resource Person, One day Workshop on Fuzzy Logic and its Applications, 22.02.2014, Valivalam Desikar Polytechnic College, Nagapattinam.
 Resource Person, National Conference on Graph Theory and Operations Research, 03.03.2014, Holy Cross College, Tiruchirappalli.
 Resource Person, National Conference on Emerging Technologies in Computational and Applied Mathematics, 22.03.2014, PSG College of Technology, Coimbatore.
 Resource Person, Guest lecture in Faculty Development Programme, 30.06.2014, Anna University, University College for Engineering, Ramanathapuram.
 Resource Person, National Seminar on Pure and Applied Mathematics, 21.08.2014, Mar Ivanios College, Trivandrum.
 Resource Person, Three Day National Level Workshop on Mathematics behind Machine Learning, 23.08.2014, JSS Mahavidyapeetha Sri Jayachamarajendra College of Engineering, Mysore.
 Resource Person, National Conference on Mathematical Modelling, NCOMM2014, 26.09.2014, Cardamom Planter’s Association College, Bodinayakanur, Theni.
 Resource Person, One day National Seminar on Topology and Mathematical Modelling, 11.10.2014, KLE Society’s S. Nijalingappa College, Bangalore.
 Resource Person, One day National Seminar on Discrete Mathematics and Its Applications, 15.10.2014, Thiagarajar College of Engineering, Madurai.
 Resource Person, One day Workshop on Fuzzy Mathematics and Its Applications In Decision Making, 16.10.2014, Kalasalingam University, Krishnankoil.
 Resource Person, National Conference on Recent Advances in Computer and Mathematical Sciences (RACMS’14) October 1718, 2014, Dr. Umayal Ramanathan College for Women, Karaikudi.
 Resource Person, INSPIRE 2014, Internship Science Camp, 31.10.2014, Cardamom Planter’s Association College, Bodinayakanur, Theni.
 Resource Person, One day National Seminar on Fuzzy Logic and its applications09, January, 2015, Carmel College, Mala, Thrissur, Kerala.
 Resource Person, Two days National Conference on Advances in Fuzzy Algebra, Fuzzy Topology and Fuzzy Graphs, 2223 January, 2015, A.P.C Mahalaxmi College for Women, Thoothukudi.
 Resource Person, National Conference on Recent Advances in Applied Sciences, 56, February 2015, Chevalier T. Thomas Elizabeth College for Women, Chennai.
 Resource Person, Refresher Course in Mathematics 14, February 2015, School of Mathematics, Madurai Kamaraj University, Madurai.
 Resource Person, UGC Sponsored National Seminar on Advances in Pure and Discrete Mathematical Structures, 2627, February 2015, Sri S. Ramasamy Naidu Memorial College, Sattur.
 Resource Person, Recent Advancements in Graph Theory and Applied Mathematics, 23, March, 2015, The Standard fireworks Rajarathnam College for Women, Sivakasi.
 Resource Person, ADMA PreConference Workshop on Fuzzy Graphs 79, June 2015, B.S.Abdur Rahman University, Chennai.
 Resource Person, One Day State Level Workshop ‘MEGA2015’ 28, August 2015, Sri Sarada Niketan College for Women, Karaikudi.
 Resource Person, National Conference on Applied Mathematics and Computer Simulation Recent Trends2015, 08, October 2015, T.B.M.L College, Porayar, Nagapattinam.
 Resource Person, Three Day National Seminar on Discrete Mathematics and the Annual Conference of Kerala Mathematical Association 810, October 2015, Sahrdaya College of Advanced Studies, Kodakara, Kerala.
 Resource Person, Guest Lecture on Fuzzy Topology 12, October 2015, V.V.Vanniaperumal College For Women, Virudhunagar.
 Resource Person, Mathematical Popularization and Communication 57, November 2015, Kings College of Engineering, Chennai.
 Resource Person, Refresher Course in Mathematics on Advances in Analysis, Algebra and Differential Equations 11, December 2015, Madurai Kamaraj University, Madurai.
 Resource Person, Chair Person of the Session: Mathematics & Statistics 26, December 2015, Karpagam Academy of Higher Education Premises, Coimbatore.
 Resource Person, National Conference on Recent Trends in Fuzzy Logic 17, February 2016, P.K.R Arts College for Women, Erode.
 Resource Person, National Conference on Geometry, Topology And their Applications, 34, August 2016, Karnatak University, Dharwad, Karnataka.
 Resource Person, Workshop on Biofuels and Combustion Research, 29, September, 2016, National Institute of Technology, Tiruchirappalli.
 Resource Person, National Level Seminar on Fuzzy Modelling and its Applications, 06, January 2017, Theivanai Ammal College for Women, Villupuram.
 Resource Person, National Seminar on Applications of Fuzzy Mathematics in Real Life, 14, February 2017, Sri Sarada Mahavidyalayam Arts and Science College for Women, Ulundurpet.
 Resource Person, National Conference on Fuzzy Mathematical Modelling and Decision Making Techniques, 3, March 2017, Bon Secours College for Women, Thanjavur.
 Resource Person, Resource Person, National Conference on Recent Trends in Fuzzy Mathematics and Its Applications, 3, November 2017, SRM University, Ramapuram Campus, Chennai.
 Resource Person, Two Weeks Faculty Development Programme on Mathematical Sciences Research Challenges in Engineering Applications, 20 November  02 December, 2017, Sethu Institute of Technology, Madurai.
 Programme Committee Member and Reviewer, January 8 – 10, 2018, International Conference on Intuitionistic Fuzzy Sets and Systems, Vellalar College of Arts and Science, Erode.
 Member, Board of Studies, 22.01.2018, Department of Mathematics, Kalasalingam University, Krishnankovil.
 Resource Person, Refresher Course in Mathematical Sciences, 050318 and 060318 Academic Staff College (Human Resource Development Centre), Kannur University, Kannur.
 Subject Expert, Open Recruitment for Department of Mathematics, 26042018, Bannari Amman Institute of Technology, Sathyamangalam.
 External Examiner, M.Sc Viva Voce Examination, 27042018, Department of Mathematics, Bharathidasan University, Tiruchirappalli.
 External Examiner, M.Phil Viva Voce Examination, 170518, Department of Mathematics, Bharathidasan University, Tiruchirappalli.
 Subject Expert, CAS interview, 25052018, Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam.
 Member, Board of Studies Meeting, 26.05.2018, Department of Mathematics, Kalasalingam University, Krishnan kovil.
 Subject Expert, Open Recruitment, 26062018, Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam.
 Resource Person, Refresher Course in Mathematics, 250718, Academic Staff College (Human Resource Development Centre), Bharadhidasan University, Tiruchirappalli.
 Subject Expert, Training cum workshop on Item Writing for JEE Main 20182019, 200818 to 250818, National Testing Agency, IITK Outreach Centre, Block C 20/1A/8, Sector 62, Gautam Budh Nagar, Noida – 201 309 Uttar Pradesh (India).
 External Examiner, M.Phil Viva Voce Examination, 310818, Department of Mathematics, Bharathidasan University, Tiruchirappalli.
 Resource Person, Refresher Course in Mathematics and Statistics, 12092018 and 13092018, Academic Staff College (Human Resource Development Centre), Pondicherry Central University, Pondicherry.
 Subject Expert, PhD Viva Voce on Studies on fixed point theory and its Applications, 14092018, Department of Mathematics, Bharadhidasan University, Tiruchirappalli.
 Resource Person, One day seminar on Algebraic Structures and applications of fuzzy logic, 26092018, PG & Research Department of Mathematics, Holy Cross College, Tiruchirappalli.
 Resource Person, 2nd National Conference on Recent Trends in Fuzzy Mathematics and its applications, 26th and 27th of October 2018, Department of Mathematics, SRM Institute of Science & Technology Ramapuram campus, Tamil Nadu.
 Member, Advisory Committee, National Conference on Recent Trends In Pure And Applied Mathematics – NCRTPAM2018, November 910, 2018, Department Of Mathematics, Easwari Engineering College, Ramapuram, Chennai600089, Tamilnadu.
 Subject Expert, Board of Studies Meeting of Mathematics Board, November10, 2018, PSG College of Technology, Coimbatore.
 Subject Expert, Training cum workshop on Item Writing for JEE Main 20182019, 241218 to 281218, National Testing Agency, IITK Outreach Centre, Block C 20/1A/8, Sector 62, Gautam Budh Nagar, Noida – 201 309 Uttar Pradesh (India).
 Subject Expert, Training cum workshop on Item Writing for JEE Main 20182019, 210119 to 250119, National Testing Agency, IITK Outreach Centre, Block C 20/1A/8, Sector 62, Gautam Budh Nagar, Noida – 201 309 Uttar Pradesh (India).
 Resource person, National Seminar on Recent Trends in Topology (NSRTT2019), 07022019, 08022019 and 09022019, Department of Mathematics, University of Calicut, Kerala.
 Resource person, Instructional School on Emerging Trends in Advanced MathematicsISETAM2019, 11022019 and 12022019, PG & Research Department of Mathematics, St. Mary’s College, Thoothukudi, Tamilnadu.
 Resource person, State Level Seminar on Recent Advances in Algebra and Analysis, 22022019, Department Of Mathematics, Pope’s College, Sawyerpuram, Thoothukudi, Tamilnadu.
 Resource person, AICTE Sponsored A Two Day National Seminar On Industrial Applications of Soft Computing Techniques, 15032019, 16032019, Department Of Mathematics, Thiagarajar College of Engineering, Madurai, Tamilnadu.
 Expert Member, Board of Studies, 27.04.2019, Department of Mathematics, PSG College of Technology, Coimbatore.
 External Examiner, M.Sc Viva Voce Examination, Department of Mathematics, 30042019, Department Of Mathematics, Bharathidasan University, Tiruchirappalli.
 External Examiner, M.Sc Viva Voce Examination, Department of Mathematics, 03052019, Department Of Mathematics, PSG College of Technology, Coimbatore.
Papers Published
Publications for downloading click here.
 P.V.Ramakrishnan, V.Lakshmana Gomathi Nayagam, Nearly Fuzzy Hausdorff Spaces, Indian Journal of Pure and Applied Mathematics, 31(5), pp. 695712, 2000.
 P.V.Ramakrishnan, V.Lakshmana Gomathi Nayagam, Semi Nearly Fuzzy Hausdorff Spaces, Journal of Indian Mathematical Society (NS), 67 (14), pp. 241251, 2000.
 P.V.Ramakrishnan, V.Lakshmana Gomathi Nayagam, Studies in Fuzzy Applications, Proceedings of Seminar on Applications of Mathematics and Statistics, March 15 16, pp. 1922, 2001.
 P.V.Ramakrishnan, V.Lakshmana Gomathi Nayagam, Hausdorff Interval Valued Fuzzy Filters, Journal of Korean Mathematical Society, 39(1), pp. 137148, 2002.
 P.V.Ramakrishnan, V.Lakshmana Gomathi Nayagam, Fuzzily Compact spaces, International Journal of Fuzzy Mathematics, 10 (3), pp. 615625, 2002.
 V. Lakshmana Gomathi Nayagam, Geetha Sivaraman, Nearly Fuzzy Regular Spaces, International Journal of Fuzzy Mathematics, 15(4), pp. 797810, 2007.
 V. Lakshmana Gomathi Nayagam, Geetha Sivaraman, Semi Hausdorff fuzzy filters, International Journal of Mathematics and Mathematical Sciences, pp. 110, 2007.
 Geetha Sivaraman, V. Lakshmana Gomathi Nayagam, Fuzzy Decision Making in Health Care, Proceedings of National Conference on Mathematical Modelling and Analysis, 8, 9 October 2004, BITS, Pilani, Rajasthan, pp. 357364.
 V. Lakshmana Gomathi Nayagam, G.Venkateswari, K.Angaleeswari, Clustering of students by psychological learning, Proceedings of National Conference on the emerging trends in Pure and applied Mathematics, pp. 172183, Jan 27 –29, 05, St. Xavier’s College, Tirunelveli.
 V.Lakshmana Gomathi Nayagam, S.Murali Krishnan, M.Meenakshi Sundara Venkatesan, Selection of Mobile phone Connection Provider using Fuzzy Knowledge, Proceedings of National Conference on the emerging trends in Pure and applied Mathematics, pp. 184193, Jan 27 –29, 05, St. Xavier’s College, Tirunelveli.
 R.Jamuna, M.Kameswari, G.Venkateshwari, V.Lakshmana Gomathi Nayagam, A Study of Students Psychology using Intuitionistic Fuzzy Similarity Measure, International Conference on Systemics, Cybernatics and Informatics, Pentagram Research Centre Private Limited, Jan 03 – 07, 2007, pp. 358361.
 V. Lakshmana Gomathi Nayagam, David Gauld, Geetha Sivaraman, G.Venkateshwari, Intuitionistic Fuzzy translation invariant spaces, Proceedings of IEEE International conference on Fuzzy Systems (FUZZIEEE 2008), Hong Kong, pp. 21572161.
 V. Lakshmana Gomathi Nayagam, G.Venkateshwari, Geetha Sivaraman, Ranking of Intuitionistic fuzzy numbers, Proceedings of IEEE International conference on Fuzzy Syztems (FUZZIEEE 2008), Hong Kong, pp. 19711974.
 V. Lakshmana Gomathi Nayagam, Geetha Sivaraman, On Nearly Fuzzy Hausdorff Spaces, International Journal of General Topology, 1(2), pp. 149157, 2008.
 V. Lakshmana Gomathi Nayagam, Geetha Sivaraman, Induced Topology on fuzzy singletons, Far East Journal of Applied Mathematics, 32(2), pp. 189198, 2008.
 V. Lakshmana Gomathi Nayagam, Geetha Sivaraman, Induced Topology on Intuitionistic fuzzy singletons, International Journal of General Topology, 1(2), pp. 193200, 2008.
 K. Senthil Kumar, C. Vijaya Banu, V. Lakshmana Gomathi Nayagam, Financial Product Preferences of Tiruchirappalli investors using Analytical Hierarchy process and fuzzy Multi Criteria Decision Making, Investment Management and Financial Innovations, 5(1), pp. 6673, 2008.
 V.Lakshmana Gomathi Nayagam, S.MuraliKrishnan, IFT_{2} Spaces, Journal of Combinatorics, Information and System Sciences, 33(12), pp. 141149, 2008.
 V.Lakshmana Gomathi Nayagam, David Gauld, G.Venkateshwari, Geetha Sivaraman, Strong Fuzzy Topological Groups, New Zealand Journal of Mathematics, 38, pp. 187195, 2008.
 V. Lakshmana Gomathi Nayagam, Geetha Sivaraman, S.Murali Krishnan, Ranking of Fuzzy Numbers by a new scoring method, Inter. J. of Engineering, Computer Science and Mathematics,(IJECSM, 1(1), pp. 1929, 2010.
 Renjith,V.R., Madhu, G., V. Lakshmana Gomathi Nayagam, Quantitative risk assessment of chlorine release from a chloralkali industry using fuzzy logic and expert elicitation, Proc. (ISBN 13 9781 90765749) of intl. conference on disaster mitigation and management, Dindigul, 2009.
 V.R. Renjith, G.Madhu, V. Lakshmana Gomathi Nayagam, A.B.Bhasi, Two dimensional fuzzy fault tree analysis for chlorine release from a chlor alkali industry using expert elicitation, Journal of Hazardous Materials 183, pp. 103110, 2010.
 V. Lakshmana Gomathi Nayagam, S.Murali Krishnan, Geetha Sivaraman, Multi criteria decision making method based on interval valued intuitionistic fuzzy sets, Expert Systems with Applications, 38, pp.14641467, 2011.
 V. Lakshmana Gomathi Nayagam, Geetha Sivaraman, Ranking of Intervalvalued Intuitionistic Fuzzy sets, Applied Soft Computing, 11(4), pp. 33683372, 2011.
 V.Lakshmana Gomathi Nayagam, G.Venkateshwari, Geetha Sivaraman, Modified ranking of intuitionistic fuzzy numbers, Notes on Intuitionistic fuzzy sets, 17(2), pp. 522, 2011.
 G. Venkateshwari, V. Lakshmana Gomathi Nayagam, Strong intuitionistic fuzzy topological groups, Annals of Fuzzy Mathematics and Informatics, 1, pp. 117130, 2011.
 V.Lakshmana Gomathi Nayagam, G.Venkateshwari, Geetha Sivaraman, Fuzzy translation invariant spaces, International Journal of General Topology, 14(1), pp. 6773, 2011.
 M.Kameshwari, V. Lakshmana Gomathi Nayagam, P.V.Ramakrishnan, Fuzzily Pairwise Compact Space, Proceedings of International Conference on Mathematics and Computer Sciences – Jan 78, 2011, Loyola College, Chennai, pp. 482485.
 M.Kameshwari, V. Lakshmana Gomathi Nayagam, P.V.Ramakrishnan, On Nearly Fuzzy Pairwise Regular Space, Advances in Theoretical and Applied Mathematics, 6(2), pp. 213219, 2011.
 V. Lakshmana Gomathi Nayagam, R. Muthuraj, K. H. Manikandan, Intuitionistic QFuzzy HX Group, International Journal of Mathematical Archive2(7), pp. 17, 2011.
 Geetha Sivaraman, V. Lakshmana Gomathi Nayagam, R.Ponalagusamy, Intuitionistic fuzzy Interval information System, International Journal of Computer Theory and Engineering 4(3), pp. 459461, 2012.
 V. Lakshmana Gomathi Nayagam, Geetha Sivaraman, A Novel Similarity Measure between Generalized Fuzzy Numbers, International Journal of Computer Theory and Engineering 4(3), pp.448450, 2012.
 Geetha Sivaraman, V. Lakshmana Gomathi Nayagam, R.Ponalagusamy, MultiCriteria Interval Valued Intuitionistic Fuzzy Decision Making Using A New Score Function, Proceedings KIM 2013 Conference, Meriden, UK, 45, June, 2013, pp. 122137.
 Geetha Sivaraman, V. Lakshmana Gomathi Nayagam, R.Ponalagusamy, A complete ranking of incomplete interval information, Expert Systems with Applications, 41(4), pp. 19471954, 2014.
 V. Lakshmana Gomathi Nayagam, Jeevaraj. S, Geetha Sivaraman, Total Ordering Defined on the Set of Intuitionistic Fuzzy Numbers, Journal of Intelligent & Fuzzy Systems, 30(4), pp.20152028, 2016.
 V. Lakshmana Gomathi Nayagam, Dhanasekaran. P, Jeevaraj. S, A Complete Ranking of Incomplete Trapezoidal Information, Journal of Intelligent & Fuzzy Systems, 30(6), pp.32093225, 2016.
 V. Lakshmana Gomathi Nayagam, Jeevaraj. S, Dhanasekaran. P, A Linear Ordering on the Class of Trapezoidal Intuitionistic Fuzzy Numbers, Expert Systems with Applications, 60, pp.269279, 2016.
 V. Lakshmana Gomathi Nayagam, Jeevaraj. S, Geetha Sivaraman, Total Ordering for Intuitionistic Fuzzy Numbers, Complexity, 21(S2), pp.5466, 2016.
 V. Lakshmana Gomathi Nayagam, Jeevaraj. S, Geetha Sivaraman, Complete Ranking of Intuitionistic Fuzzy Numbers, Fuzzy Information and Engineering, 8(2), pp.237254, 2016.
 V. Lakshmana Gomathi Nayagam, Jeevaraj. S, Dhanasekaran. P, An Intuitionistic Fuzzy Multi Criteria Decision Making method based on Nonhesitance score for Interval Valued Intuitionistic fuzzy sets, Soft Computing, 21, pp.70777082, 2016.
 V. Lakshmana Gomathi Nayagam, Jeevaraj. S, Geetha Sivaraman, Ranking of Incomplete Trapezoidal Information, Soft Computing, I21, pp.71257140, 2016.
 V. Lakshmana Gomathi Nayagam, Jeevaraj. S, Dhanasekaran. P, A new Ranking Principle for Ordering trapezoidal intuitionistic fuzzy numbers, Complexity, Article No.2, pp.124, 2017.
 Dhanasekaran. P, Jeevaraj S, V. Lakshmana Gomathi Nayagam, A complete ranking of trapezoidal fuzzy numbers and its applications to multicriteria decision making, Neural Computing and Applications, pp.113, 2017.
 V. Lakshmana Gomathi Nayagam, M,Jagadeeswari, Approximation of Parabolic Fuzzy Numbers, Frontiers in Artificial Intelligence and Applications, 299, pp.107124, 2017.
 M.Kameswari, V. Lakshmana Gomathi Nayagam, Geetha Sivaraman, P.Mariappan, Some Stronger Notion of Fuzzy Regular Space through Fuzzily Closed Sets, Taga Journal, 14, pp.275297, 2018.
 M.Kameswari, C.Indirani, V.Lakshmana Gomathi Nayagam, M.Parimala, Separation Axioms Using Fuzzy Clopen Sets in Fuzzy Bitopological Space, Taga Journal, 14, pp.234254, 2018.
 V. Lakshmana Gomathi Nayagam, Jeevaraj. S, Dhanasekaran. P, An Improved ranking method for comparing Trapezoidal Intuitionistic Fuzzy Numbers and its applications to Multicriteria Decision Making, Neural Computing and Applications, 30(2), pp.671682, 2018.
 V. Lakshmana Gomathi Nayagam, M, Jagadeeswari, Trapezoidal Approximation of Neutrosophic Numbers on Transportation problems (Accepted).
 V. Lakshmana Gomathi Nayagam, Dhanasekaran. P, Jeevaraj. S, Similarity measure on incomplete imprecise interval information and its applications, Neural Computing and Applications (Accepted).
Research Interest
 Fuzzy Topological Structures.
 Fuzzy Algebraic Structures.
 Fuzzy Decision making problems.
 Fuzzy Clusterting Techniques.
Areas Of Interest
 All Classical Mathematics (Topology, Algebra, Real and Complex Analysis).
 All Engineering Mathematics.
Ph.D. Theses
 Ph.D. Theses Guided: 5
 Ph.D. Theses Completed: 5
 Ph.D. Scholars presently working: 3
Countries Visited
 Dubai
 Hong Kong
 New Zealand
 Switzerland
 UK
 Taiwan
Contact Address
V.Lakshmana Gomathi Nayagam,
Department of Mathematics,
Room No.221, Lyceum Building,
National Institute of Technology, Tiruchirappalli,
Tiruchirappalli  620015,
Tamil Nadu, India.
Telephone No +914312503672 (office)
+919443881718.