Dr. VIVEK S

Assistant Professor
Email: [email protected]

Education

  • B.Sc. Mathematics, MG University, 2009
  • M.Sc. Mathematics, MG University, 2011
  • Ph.D. Mathematics, MG University, 2021

Area of Specialization

  • Fuzzy Topology

PAPER PUBLICATIONS:
1. Vivek S and Sunil C. Mathew, Regularity of the Extensions of a Double Fuzzy Topological
Space, Proyecciones Journal of Mathematics, 41(1), 163-176, 2022.
2. Vivek S and Sunil C Mathew, On the Extensions of a Double Fuzzy Topological Space,
Journal of Advanced Studies in Topology, 9(1):75-93, 2018.

3. Vivek S and Sunil C Mathew, Some Lattices Associated with a Double Fuzzy Topological
Space, Journal of Fuzzy Mathematics, 27(1):153 -170, 2019.
4. Vivek S and Sunil C Mathew, Certain Algebraic Structures Associated with a Double
Fuzzy Topological Space, Mathematical Sciences, 13:325–334, 2019.
5. Vivek S and Sunil C Mathew, On Regular Fuzzy Closed Sets in a Double Fuzzy
Topological Space, Advances in Fuzzy Sets and Systems, 24( 2): 55-73, 2019.
6. Vivek S and Sunil C. Mathew, Normality of the Extensions of a Double Fuzzy Topological
Space, Advances in Mathematics: Scientific Journal, 9(11): 9455-9462,2020.
7. Vivek S and Sunil C Mathew, Regular Fuzzy Closed Sets and Extensions of a Double
Fuzzy Topological Space, Journal of Mathematical Extension, 14:4 (2020)..
8. Vivek S and Sunil C Mathew, On the Extensions of LM-Fuzzy Topologies, New
Mathematics and Natural Computation,17(2):249-265,2021.
9. Vivek S and Sunil C. Mathew, Some De Morgan Algebras Associated with a Double Fuzzy
Topological Space, Creative Mathematics and Informatics, 30(1):115-120,2021.
10. Vivek S and Sunil C. Mathew, Some Lattices Associated with LM-Fuzzy Topological
Spaces, Journal of Intelligent & Fuzzy Systems, 40:12101-12109,2021.
PAPERS PRESENTED:
1. On the notions of openness and closedness in a double fuzzy topological space, IInd
International Conference on Science, Engineering, Technology & Social Science
(ICSETS-2018) organized by Department of Mathematics, Kuriakose Elias College,
Mannanam during 18-19 January 2018.
2. On Double Fuzzy Topological Spaces, IIIrd International Conference on Science,
Engineering, Technology & Social Science (ICSETS-2019) organized by Department of
Mathematics, Kuriakose Elias College, Mannanam during 11-12 March 2019.
3. On the Invariance of Certain Properties of Double Fuzzy Topological Spaces Under
Extensions, International Conference on Recent Advances in Mathematical Science and Its
Applications organized by Department of Mathematics, Mother Teresa Women’s
University, Kodaikanal during 26-27 August 2021.
ARTICLES PUBLISHED:
1. Groups in Mathematics, Sastrapadham, October 2012.
2. Four Color Theorem in Graph Theory, Sastrapadham, September 2010
3. Fuzzy Sets, Sastrapadham, May 2016

Mathematics
Department