Dr. C. Kalaivani-Mathematics-SSN

Dr. C. Kalaivani

M.Sc., Ph.D.

Assistant Professor

Department of Mathematics

Email : kalaivanic@ssn.edu.in

Introduction

Dr. C. Kalaivani, Assistant Professor in Department of Mathematics has four years research experience. She completed her B.Sc., (Mathematics) from Alagappa Government Arts College, Karaikudi and M.Sc., (Mathematics) from Alagappa University, Karaikudi. She has received University fourth rank in B.Sc., degree and University first rank in M.Sc., degree

She received her Ph.D., from Alagappa University, Karaikudi. During her Ph.D., she was awarded Inspire fellowship (JRF) for meritorious students from Department of Science and Technology (DST), New Delhi. She has published three research papers in reputed international journals and one research paper has been accepted for publication in refereed journal.

List of Publications

  • Roopkumar. R., Kalaivani. C. Continuity of intuitionistic fuzzy proper functions on intuitionistic smooth fuzzy topological spaces, NIFS. 16 (3), 1-21, 2010.
  • Roopkumar. R., Kalaivani. C. Continuity of fuzzy proper functions on Sostak’s I-fuzzy topological spaces. Commun. Korean Math.Soc. 26 (2), 305-320,  2011.
  • Roopkumar. R., Kalaivani. C. Some results on fuzzy proper functions and connectedness in smooth fuzzy topological spaces, Math. Bohem. 137 (3), 311-332, 2012.
  • Kalaivani. C., Roopkumar. R. Fuzzy proper functions and net-convergence in smooth fuzzy topological spaces. Annals of Fuzzy Mathematics and Informatics (in press).
  • She completed her B.Sc., (Mathematics) from Alagappa Government Arts College, Karaikudi and M.Sc., (Mathematics) from Alagappa University, Karaikudi. She has received University fourth rank in B.Sc., and University first rank in M.Sc.
  • She received her Ph.D., from Alagappa University, Karaikudi. During her Ph.D., she was awarded Inspire fellowship (JRF) for meritorious students from Department of Science and Technology (DST), New Delhi.
  • Working as an Assistant Professor in Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering from 29th May 2013.
  • Fuzzy topology, Neutrosophic theory, Fixed point theory.
  • C. Kalaivani and J. Sofia Jennifer, Hausdorf Space in Neutrosophic Ideal Topological Spaces: Applications in Decision Making, Neutrosophic Sets and: Systems, 73, 273-281, 2024
  • J. Sofia Jennifer and C. Kalaivani, A Neutrosophic Approach for Breast Mass Detection in Digital Mammogram Images, Neutrosophic Sets and Systems, 73, 93-102, 2024
  • Sankar Chakaravarthy, Kalaivani Chandran, Saravanan Mariappan, and Sujatha Ramalingam, Edge Integrity for Signed Fuzzy Graph, Journal of Intelligent & Fuzzy Systems, 43, 4681-4690, 2022
  • C. Kalaivani and G. Kalpana, A Fixed Point Approach to the Solution of Singular Fractional Differential Equations with Integral Boundary Conditions, Advances in Difference Equations, 56, 1-16, 2021
  • C. Kalaivani Chandran, Swathi S. S., Samarandache F., and Saeid Jafari, On Product of Smooth Neutrosophic Topological Spaces, Symmetry,1557, 1-20, 2020
  • C. Kalaivani and G. Kalpana, Fixed Point Theorems in C-Algebra Valued S-Metric Spaces with Some Applications, U.P.B. Sci. Bull., Series A, 80, 93-102,  2018
  • G. Kalpana and C. Kalaivani, Common Fixed-Point Theorems in C-Algebra Valued S-Metric Spaces, International Journal of Pure and Applied Mathematics, 119, 367-375, 2018
  • G. Kalpana and C. Kalaivani, Fuzzy Soft Topology, International Journal of Engineering Studies, 9, 45-56, 2017
  • C. Kalaivani and G. Kalpana, Common Fixed Point Theorems in B-Metric Space Using Sub compatible and Sequentially Continuous Maps, Global Journal of Pure and Applied Mathematics, 13, 306-314, 2017
  • C. Kalaivani and R. Roopkumar, Some Weaker Forms of Smooth Fuzzy Continuous Functions, Contributions, Section of Natural, Mathematical and Biotechnical Sciences, MASA, 36, 153-164, 2015
  • C. Kalaivani and R. Roopkumar, A New Closure Operator and Some Kinds of Fuzzy Super Continuous Functions on Smooth Fuzzy Topological Spaces, Annals of Fuzzy Mathematics and Informatics, 9, 649-663, 2015
  • C. Kalaivani and R. Roopkumar, Fuzzy Perfect Mapping and Q-Compactness in Smooth Fuzzy Topological Spaces, Fuzzy Information and Engineering, 6, 115-131, 2014
  • C. Kalaivani and R. Roopkumar, Fuzzy Proper Functions and Net-Convergence in Smooth Fuzzy Topological Spaces, Annals of Fuzzy Mathematics and Informatics, 6, 705-726, 2013
  • R. Roopkumar and C. Kalaivani, Some Results on Fuzzy Proper Functions and connectedness in Smooth Fuzzy Topological Spaces, Mathematica Bohemica, 137, 311-332, 2012
  • Roopkumar. R and Kalaivani.C, Continuity of fuzzy proper functions on Sostak’s I-fuzzy topological spaces, Commun. Korean Math.Soc, 26 (2), 305-320,  2011
  • Roopkumar. R and Kalaivani.C, Continuity of intuitionistic fuzzy proper functions on intuitionistic smooth fuzzy topological spaces, NIFS. 16 (3), 1-21, 2010