I. Educational Qualifications:
(i). Secondary School Leaving Certificate – Kerala – year 1977
(ii). Pre Degree – Kerala – year 1979
(iii). B. Sc (Mathematics) – Kerala – year 1982
(iv). M. Sc (Mathematics) – Kerala – year 1984
(v). B. Ed (Mathematics) – Kerala – year 1986
(vi). M. Phil (Mathematics) – Kerala – year 1993 -
[Certain Fundamental Congruences on a Regular Semigroup]
(vii). Ph. D (Mathematics) – Kerala – year 2003 –
[Fuzzy Mathematical Approach to Economic Problems]
(viii) PDF (Post Doctoral Fellowship) – UGC – year 2004-07 –
[Fuzzy Mathematics and Welfare Economics]
II. Service Details:
Present Position – Head and Associate Professor in Mathematics
Address of the Institution – Mar Ivanios College, Trivandrum,
Kerala, India, PIN 695 015
Ph. 91-471-2531053
Date of joining as Lecturer in the Institution: 30 – 11 – 1987
Teaching Experience – 27 years for UG/PG
10 years as recognized Research Guide for University of
Kerala and Mahatma Gandhi University, Kerala
III. Awards/Recognitions:
i. Doctoral Fellowship, University Grants Commission, New Delhi – 2000
ii. Post Doctoral Research Award, University Grants Commission,
New Delhi – 2004
IV. International Certificates:
Introduction to Computer Science and Programming, certificate issued by the MITx, issued on Feb.1st, 2013.
Certificate of Workshop Completion, Business Mathematics, during the ‘Learning Technologies and Mathematics Middle East Conference, held at Sultan Qaboos University, Oman, March 2007.
Certificate of Workshop Completion, M101: A First Course in Mathematica, from Wolfram Research, April 2007.
V. Membership in National/ International Bodies:
1. 1. Member, International Directory of Mathematics Education
http://www.DirectoryMathsEd.net/
2. 2. Member, Ramanujan Mathematical Society, Membership No.483
http://www.ramanujanmathsociety.org/members
3. 3. Member, academia.edu
https://google.academia.edu/MaryGeorge
VI. Research Papers/Books Published
Papers Published in International Journals
Queueing Systems with Vacations of Fuzzy Length, Advances in Fuzzy Mathematics, International Research Publication House, ISSN 0973-533X, Volume 10, Number 2 (2015), pp. 133-47
‘An Algorithmic Approach on N-policy M(n)/G/1/K Queueing System’, Bulletin of Kerala Mathematics Association, Vol.12, No.1, (2015, June), ISSN 0973-2721.
‘Biometric Cattle Identification using Fuzzy Methods’, Bulletin of Kerala Mathematics Association, Vol.12, No.1, (2015, June), ISSN 0973-2721.
Optimal Operating Policy of a Controllable M/Ek/1/ Queueing System with Vacation, Bulletin of Kerala Mathematics Association, Vol.9, No.2, (2012, December) 227-252.
Performance Measures of a Fuzzy N-Policy M/Ek/1/ Queueing System with Vacation, Bulletin of Kerala Mathematics Association, Vol.9, No.1, (2012, June) 39-54.
Bilayer Denoising of Echocardiogram Images using Contourlet Transform and Iterative Noise-Free Filtering, International Journal on Applied Engineering Research (IJAER), ISSN 0973-4562, Volume 7, Number 1(2012) pp.45-54.
‘A Fuzzy Mathematical Measurement of Poverty’, Journal of Fuzzy Mathematics, International Fuzzy Mathematics Institute, Los Angeles, Vol.19 (4) , 2011.
A New Solution Concept in Fuzzy Bi-Matrix Games, Bulletin of Kerala Mathematics Association , Vol.8, No.1, (2011, June) 75–80
‘Fuzzy Modelling of Location Problems’ , Journal of Fuzzy Mathematics, International Fuzzy Mathematics Institute , Los Angeles, Vol.19 (4) , 2011.
Fuzzy Matrix Games, International Journal of Fuzzy Mathematics and Systems, Research India Publications, Volume 1, Number 1 (2011), pp. 23-32.
Convergency of InterpolatoryQuintic Splines of Deficiency Two, Advances in Applied Mathematical Analysis, Research India Publications, ISSN 0973-5313, Volume 6 Number 1 (2011), pp. 63-71.
Queueing Systems with Vacations of Fuzzy Length, International Journal of Mathematics Research, International Research Publication House, ISSN 0976-5840, Volume 3, Number 1 (2011), pp. 89-103.
‘Fuzzy Indifference Relation in a Semigroup’ ,Journal of Fuzzy Mathematics, International Fuzzy Mathematics Institute , Los Angeles Vol.15 (1) , 2007.
‘A Fuzzy Preference Based Choice Function’, Journal of Fuzzy Mathematics, International Fuzzy Mathematics Institute, Los Angeles Vol.15 (1) , 2007.
‘A Fuzzy Measure of Poverty’ ,Journal of Fuzzy Mathematics, International Fuzzy Mathematics Institute , Los Angeles Vol.15 (1) , 2007.
‘Study of Welfare–A Fuzzy Approach’, Journal of Fuzzy Mathematics, International Fuzzy Mathematics Institute, Los Angeles, Vol.12 (4) , 2004.
Papers Presented/Published in International Conferences/Proceedings
1. ‘Removal of Impulse Noise from Images using Fuzzy Techniques’, Proceedings of the International Seminar conducted by Swamy Vivekananda Association of Science and Humanities (SVASH-2014), vol.3, pp.5-9, ISBN-978-81-907480-9-4 (Govt. Reg.No.TVM/TC/493/2013), 2014.
2. ‘An Algorithmic Approach on Queueing Systems with Multiple Arbitrary Vacations of Fuzzy Length’, Proceedingsof the International Seminar conducted by Swamy Vivekananda Association of Science and Humanities (SVASH-2014), vol.3, pp.2-4, ISBN-978-81-907480-9-4 (Govt. Reg.No.TVM/TC/493/2013), 2014.
3. ‘Game Theory: Solution using Fuzzy Mathematical Techniques’, paper presented in the International Conference on Mathematical Sciences and Computer Engineering, ICMSCE, held in Kuala Lumpur, Malaysia, 29-30, November 2012.
4. ‘A Novel Denoising Technique For Impulse Noise Corrupted Videos’, paper presented in the International Conference on Mathematical Sciences and Computer Engineering, ICMSCE, held in Kuala Lumpur, Malaysia, 29-30, November 2012.
5. ‘Solution of Matrix Games with Fuzzy Payoffs using Duality in Linear Programming’, paper presented in the International Conference on Mathematical Sciences ICMS, held in Pala, Kerala, 3-5 January 2011.
6. ‘A Study on Queuing Systems with Vacations’, poster presented in the International Conference of Women Mathematicians, ICWM2010, University of Hyderabad, August 17-18, 2010.
7. ‘A New Solution Concept of Matrix Games in Fuzzy Environment’, paper presented in the International Congress of Mathematicians, ICM2010, Hyderabad, India, August 19-27, 2010.
8. ‘Application of Finite Field in Coding Theory’, paper presented in the International Congress of Mathematicians, ICM2010, Hyderabad, India, August 19-27, 2010.
9. ‘Matrix Games in Fuzzy Environment’, Proceedings of the Pre ICM International Conference on Mathematical Sciences, Dept. of Mathematics, Delhi University, India 2008.
10. ‘Interdisciplinary approach to Mathematics’, Proceedings of the international conference on Learning Technologies in Mathematics organised by Arizona University, USA at Sultan Qaboos University, Muscat, 2007.
11. ‘Mathematics and Civil Society’, Proceedings of the international conference on Learning Technologies in Mathematics organised by Arizona University, USA at Sultan Qaboos University, Muscat, 2007.
12. ‘Socio-economic Implication of HIV/AIDS’, Proceedings of International AIDS Conference held at MG Kashi Vidyapith , Varanasi, India, 2007.
13. ‘Gender Equality through Education – the Kerala Experience’, Proceedings of the international Seminar on ‘Holistic Education in a Technology Driven Era’, Mar Theophilus Training College, Trivandrum, India 2006.
Papers Published in National Journals
1. ‘Solution of Games using Fuzzy Mathematics’, Catholicate Journal of Studies and Research, Vol.1, Issue 1, ISSN 2249-149X, Dec.2013.
2. ‘Ganithashastravum Nobel Puraskaravum’, Thaliru, Balasahitya Institute, Kerala State, Vol.18, Issue.10, 2012.
3. ‘Matrix Games in Fuzzy Environment’, Journal of Interdisciplinary Mathematics, Taru Publications, New Delhi, Vol.13(2010), No.1, pp.51-56, 2010
4. ‘On Fuzzy Binary Relations’, Indian Journal for the Advancement of Mathematics Education and Research, Andra Pradesh Association for Mathematics Teachers, Vol. XXXII, 2004.
5. ‘Adisthana Soukaryangalude Vikasanam – Arogya Paripalana Mekhalayil Oru Puthen Unarvu’ (Malayalam) ,Yojana, Vol. 32(6), Jan. 2004.
6. ‘Vinoda Sanchara Vikasanam – Keralathinte Sampathika Vikasanathinu’ (Malayalam), Yojana, Vol. 32(1), Aug. 2003.
Papers Presented/Published in National Conferences/Proceedings
1. ‘Fuzzy Mathematical Approach for the Removal ofNoise from Muzzle Images’, Proceedings of the UGC sponsored National Workshop on ‘Computational Mathematics, IVANO NWCM 2015, organized by Mar Ivanios College, Trivandrum, Kerala, in association with Kerala Mathematical Association, 2015.
2. ‘A Study on Soft Sets’, Proceedings of the UGC sponsored National Workshop on ‘Computational Mathematics, IVANO NWCM 2015, organized by Mar Ivanios College, Trivandrum, Kerala, in association with Kerala Mathematical Association, 2015.
3. ‘An Overview of Genetic Fuzzy Rule Based Systems in Association Rule Mining’, Proceedings of the UGC sponsored National Workshop on ‘Computational Mathematics, IVANO NWCM 2015, organized by Mar Ivanios College, Trivandrum, Kerala, in association with Kerala Mathematical Association, 2015.
4. ‘Intuitionistic Fuzzy Congruences on Groups’, Proceedings of the UGC sponsored National Workshop on ‘Computational Mathematics, IVANO NWCM 2015, organized by Mar Ivanios College, Trivandrum, Kerala, in association with Kerala Mathematical Association, 2015.
5. ‘Fuzzy Rule Based Specialist System for Evaluating Intellectual Capital’, Proceedings of the UGC sponsored National Workshop on ‘Computational Mathematics, IVANO NWCM 2015, organized by Mar Ivanios College, Trivandrum, Kerala, in association with Kerala Mathematical Association, 2015.
6. ‘Fuzzy Mathematical Approach for Cattle Identification’, Proceedings of the UGC sponsored National Seminar on ‘Recent Trends in Pure and Applied Mathematics, IVANO NCPAM-2014, organised by Mar Ivanios College, Trivandrum, Kerala, in association with Kerala Mathematical Association, 2014.
7. ‘Location Problems’, Proceedings of the UGC sponsored National Seminar on ‘Fuzzy Graphs and Combinatorics’ in association with Kerala Mathematical Association, at BCM College, Kottayam, Kerala, 2014.
8. ‘Fuzzy Mathematical approach for the Removal of Salt and Pepper Noise from Images’, paper presented in the U.G.C. Sponsored National Conference on Fuzzy Logic and its Applications to Computer Science, BPC College, Piravom, Ernakulam, February 20-22, 2014.
9. ‘A Fuzzy approach to Multi Objective Vehicle Routing Problem using Genetic Algorithm,’ paper presented in the U.G.C. Sponsored National Conference on Fuzzy Logic and its Applications to Computer Science, BPC College, Piravom, Ernakulam, February 20-22, 2014.
10. ‘Queueing Systems with Multiple Arbitrary Vacations of Fuzzy length’, Proceedings of the UGC sponsored National Seminar on ‘Emerging Trends in Applied Mathematics (IVANO NCAM 2013)’ in association with Kerala Mathematical Association, at Mar Ivanios College, Trivandrum, Kerala, 2013.
11. ‘Fuzzy Congruences on Semigroups’, Proceedings of the UGC sponsored National Seminar on ‘Fuzzy Logic and Fuzzy Semigroup (NSFLFS)’ in association with Kerala Mathematical Association, at Sree Narayana College, Punalur, Kerala, 2013.
12. ‘Fuzzy Operations’, Proceedings of the UGC sponsored National Seminar on ‘Fuzzy Logic and its Applications’, KNM College, Kanjiramkulam, Trivandrum, Kerala, 2013.
13. ‘Queueing Systems with State-Dependent Vacations of Fuzzy Length’, Proceedings of the UGC sponsored National Seminar on ‘Fuzzy Logic and its Applications’, KNM College, Kanjiramkulam, Trivandrum, Kerala, 2013.
14. ‘Decision Making based on incomplete Fuzzy Preference Relations’, Proceedings of the UGC sponsored National Seminar on ‘Fuzzy Logic and its Applications’, KNM College, Kanjiramkulam, Trivandrum, Kerala, 2013.
15. ‘Fuzzy Logic as a Tool to Control Vagueness in Economics’, Proceedings of the UGC sponsored National Seminar on ‘Fuzzy Logic and its Applications’ KE College, Mannanam, Kottayam, Kerala, 2011
16. ‘Queueing Systems with Vacations’, Proceedings of the AICTE sponsored National Seminar on ‘Operations Research and Mathematical Computing’ MACFAST, Thiruvalla, Kerala, 2008
17. ‘Modern Trends in Graph Theory’, Proceedings of the UGC sponsored National Seminar Series, Sree Narayana College for Women, Kollam, Kerala, 2008.
18. ‘The Evolution of Wavelets – An Introductory Study’, Proceedings of UGC sponsored National Seminar on ‘Discrete Mathematics and Algebra’, Mar Ivanios College, Trivandrum, Kerala 2007.
19. ‘Mathematical Modeling’, Proceedings of UGC sponsored National Seminar on ‘Mathematical Modeling and Simulation’, K.E.College, Mannanam, Kerala, 2007.
20. ‘HIV/AIDS and Human Rights’, Proceedings of UGC sponsored National Seminar on ‘Human Rights, Ethics and Values in Education ’, Mar Ivanios College, Trivandrum, Kerala, 2007.
21. ‘The Role of Family Life Education in Impeding the Spread of the Pandemic HIV/AIDS’, Proceedings of UGC sponsored National Seminar on ‘Human Rights, Ethics and Values in Education ’, Mar Ivanios College, Trivandrum, Kerala , 2007.
22. ‘Fuzzy Graphs and Location Problems’, Proceedings of DST, NBHM (DAE)&CSIR Sponsored National Seminar conducted by Kerala Mathematical Association and Bharata Mata College, Ernakulam, Kerala on ‘Recent Trends in Discrete and Fuzzy Mathematics’ , November 2005.
23. ‘A Fuzzy Mathematical Approach to Theory of Preferences’, (invited talk) Proceedings of UGC Sponsored National Seminar , conducted jointly by T.K.M.College of Arts and Science, Kollam, Kerala on ‘Analysis and Discrete Mathematics’ , March 2005.
24. ‘Factors Contributing to Weak Credit Linkages of Local Plans: A Study in the Context of People’s Planning in Kerala’, International Conference organised by Institute of Social Sciences, New Delhi, on ‘A decade of Decentralization in Kerala : Issues, Options and Lessons’, October 2005.
25. ‘Fuzzy Linear Programming’, Proceedings of UGC Sponsored National Seminar conducted jointly by Devaswom Board Pampa College, Parumala, Kerala and K. M. A on ‘Operations Research and Applications’, February 2004.
26. ‘Exact Choice from Fuzzy Preference’, Proceedings of UGC Sponsored National Seminar conducted jointly by Kerala Mathematical Association and St. Thomas College- Kozhenchery, on ‘Discrete Mathematics ’ January 2003.
27. ‘Similarity Relations’, Proceedings of UGC Sponsored National Seminar, conducted jointly by K.M.A and Catholicate College, Pathanamthitta, Kerala on ‘Fuzzy Mathematics and Graph Theory’, August 2003.
Books Published
1. ‘Fuzzy Mathematics – Applications in Economics’, Campus Books International, New Delhi 2006.
2. ‘A Text Book of Mathematical Economics’, Discovery Publications, N.Delhi, 2007
3. ‘Human Rights and Values in Education’, Discovery Publications, N.Delhi, 2008
Study Materials Published
1. ‘Real Analysis- II’ , Study Material, I M.Sc Mathematics, Institute of Distance Education, University of Kerala, 2002.
2. ‘Operation Research and Computer Applications- I’ , Study Material, II M.Sc Mathematics, Institute of Distance Education, University of Kerala, 2003.
3. ‘Operation Research and Computer Applications- II’ , Study Material, II M.Sc Mathematics, Institute of Distance Education, University of Kerala, 2003.
4. ‘Mathematical Statistics’, Study Material, M.Sc. Mathematics, School of Distance Education, Mahatma Gandhi University, Kerala, 2004.
VII. Details of Projects undertaken:
1. POST-DOCTORAL
Title: Fuzzy Mathematical Approach to Welfare Economics
Funding Agency: UGC
Duration: 2004-07 (3 yrs.)
Grants received (Rs): 4,00,000.00
2. MINOR RESEARCH PROJECT
Title: Fuzzy Differential Equation Models to Study the Extent of HIV/AIDS
in India with Special Reference to Women- A Case study of Kerala
Funding Agency: UGC
Duration: 2007-08 (1 yr.)
Grants received (Rs): 50,000.00
3. MAJOR RESEARCH PROJECT
Title: A study of matrix and bi-matrix games with fuzzy goals and fuzzy pay-offs
Funding Agency: UGC
Duration: 2010-12 (2 yrs.)
Grants received (Rs): 8,03,800.00
4. MINOR RESEARCH PROJECT
Title: Fuzzy Congruence Relation on the Semigroup of Alternatives
Funding Agency: UGC
Duration: 2014-16 (2 yrs.)
Grants received (Rs): 1,55,000.00
VIII. Seminars/Conferences attended:
International:
1. Paper Presenter
International Seminar conducted by Swamy Vivekananda Association of Science and Humanities (SVASH-2015 (Govt. Reg.No.TVM/TC/493/2013), 2015.
2. Paper Presenter
International Seminar conducted by Swamy Vivekananda Association of Science and Humanities (SVASH-2014 (Govt. Reg.No.TVM/TC/493/2013), 2014.
3. Paper Presenter
International Conference on Mathematical Sciences and Computer Engineering, ICMSCE, held in Kuala Lumpur, Malaysia, 29-30, November 2012.
4. Paper Presenter
International Middle East Conference on ‘Learning Technologies Learning Technologies and Mathematics’ organised jointly by Sultan Qaboos University, Muscat, Sultanate of Oman and Arizona University, USA, on 31 March- 2April, 2007.
5. Paper Presenter
International seminar on ‘Holistic Education in a Technology Driven Era’ conducted by Mar Theophilus Training College, Trivandrum, Kerala on January 23-26, 2006
6. Paper Presenter
International Conference on ‘A Decade of Decentralisation in Kerala- Issues, Options and Lessons’ organised by Institute of Social Sciences, New Delhi, on October 2-4 , 2005
7. Paper Presenter
International Seminar on Teaching of Calculus organized by Department of Mathematics, University of Kerala & institute of Mathematical Sciences, Trivandrum on January 12-14 , 2004.
National:
1. Organizer
National Workshop on ‘Computational Mathematics, IVANO NWCM 2015, organized by Mar Ivanios College, Trivandrum, Kerala, in association with Kerala Mathematical Association, 2015.
2. Organizer
National Seminar on ‘Recent Trends in Pure and Applied Mathematics, IVANO NCPAM-2014, organised by Mar Ivanios College, Trivandrum, Kerala, in association with Kerala Mathematical Association, 2014.
3. Invited Speaker
National Seminar on ‘Fuzzy Graphs and Combinatorics’ in association with Kerala Mathematical Association, at BCM College, Kottayam, Kerala, 2014.
4. Invited Speaker
Seminar on ‘Fuzzy Mathematics’ at BCM College, Kottayam, Kerala, 2014.
5. Invited Speaker
Delivered lectures to the participants of Refresher Course in Mathematics in the UGC-Academic Staff College, University of Kerala, 2014.
6. Paper Presenter
National Conference on Fuzzy Logic and its Applications to Computer Science, BPC College, Piravom, Ernakulam, February 20-22, 2014.
7. Organizer
National Seminar on ‘Emerging Trends in Applied Mathematics (IVANO NCAM 2013)’ in association with Kerala Mathematical Association, at Mar Ivanios College, Trivandrum, Kerala, 2013.
8. Invited Talk
Regional Seminar at All Saints’ College, Thiruvananthapuram , 2013.
9. Invited Speaker
National Seminar on ‘Fuzzy Logic and Fuzzy Semigroup (NSFLFS)’ in association with Kerala Mathematical Association, at Sree Narayana College, Punalur, Kerala, 2013.
10. Invited Speaker
National Seminar on ‘Fuzzy Logic and its Applications’, KNM College, Kanjiramkulam, Trivandrum, Kerala, 2013.
11. Invited Speaker
Delivered a talk on Applications of Mathematics in Real Life at Christ Nagar
International School, Thiruvananthapuram, 2012
12. National Seminar on ‘Human Rights, Ethics and Values in Education’, organized by
Mar Ivanios College, Trivandrum, Kerala on January 18-20, 2007.
13. National Seminar on ‘Recent Trends in Discrete and Fuzzy Mathematics’ organized by
Department of Mathematics, Bharata Mata College, Kochi, Kerala on November 10-12, 2005.
14. National Seminar on ‘Analysis and Discrete Mathematics’ organized by Department of
Mathematics, TKM College of Arts and Science, Kollam, Kerala on March 15-16,
2005.
15. National Seminar on ‘Algebra, Analysis and Discrete Mathematics’ organized by
Department of Mathematics, University of Kerala, on January 12-14, 2005.
16. National Seminar on ‘Operations Research and Applications’, organized by
Department of Mathematics, D.B.Pampa College, Parumala, Kerala, on February
13-15, 2004.
17. National Seminar on ‘Graph Theory and Fuzzy Mathematics’, organized by
Department of Mathematics, Catholicate College, Pathanamthitta, Kerala, on August 28-30, 2003.
18. National Seminar on ‘Discrete Mathematics’ organized by Department of
Mathematics, St. Thomas College, Kozhencherry, Kerala on January 9-11, 2003.
19. National Seminar organized by All Saints College, Trivandrum, Kerala on
‘Programming in C and C++ and Analytical Number Theory’, on 2 February 2002.