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Issue:Topologies generated by intuitionistic fuzzy numbers

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http://ifigenia.org/wiki/issue:nifs/26/1/36-45
Title of paper: Topologies generated by intuitionistic fuzzy numbers
Author(s):
R. Santhi
Department of Mathematics, N.G.M., College, Pollachi, Tamilnadu, India
santhifuzzy@yahoo.co.in
E. Kungumaraj
Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, Tamilnadu, India
kungum99522@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 1, pages 36–45
Download:  PDF (142  Kb, Info)
Abstract: In this paper we have introduced a method to generate the topologies using the intuitionistic fuzzy numbers, which is the extension work of the topologies generated by the fuzzy numbers. For this we have used (α,β)-cut of intuitionistic fuzzy number, triangular intuitionistic fuzzy number and trapezoidal intuitionistic fuzzy numbers.
Keywords: Fuzzy number, Triangular fuzzy number, Trapezoidal fuzzy number,α-cut of fuzzy numbers, Intuitionistic fuzzy number, Triangular Intuitionistic fuzzy number, Trapezoidal Intuitionistic fuzzy number, (α,β)-cut of intuitionistic fuzzy numbers.
AMS Classification: 03F55, 54A05.
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  8. Sharma, P. K. (2011). α,β-Cut of Intuitionistic fuzzy modules, International Journal of Mathematical Sciences and Applications, 1 (3), 1489–1492.
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