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Issue:IF topological vector spaces

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http://ifigenia.org/wiki/issue:nifs/24/2/33-51
Title of paper: IF topological vector spaces
Author(s):
Moumita Chiney
Department of Mathematics, Visva-Bharati, Santiniketan 731235, West Bengal, India
moumi.chiney@gmail.com
S. K. Samanta
Department of Mathematics, Visva-Bharati, Santiniketan 731235, West Bengal, India
syamal_123@yahoo.co.in
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 2, pages 33-51
DOI: https://doi.org/10.7546/nifs.2018.24.2.33-51
Download:  PDF (236 Kb  Kb, File info)
Abstract: In the present paper a notion of intuitionistic fuzzy topology on an intuitionistic fuzzy set has been developed. Also the concept of IF topological vector space has been introduced which is a combined structure of intuitionistic fuzzy vector space and intuitionistic fuzzy topology as defined by us. In this study, we generalized the action of a group on a set to intuitionistic fuzzy action. We obtained some basic results.
Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy vector space, Intuitionistic fuzzy topology on intuitionistic fuzzy set, IF topological vector space.
AMS Classification: 03E72, 15A03, 54A05
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