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Issue:Multi-parameter temporal intuitionistic fuzzy sets

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Title of paper: Multi-parameter temporal intuitionistic fuzzy sets
Author(s):
Rangasamy Parvathi
Department of Mathematics, Vellalar College for Women, Erode-638 012, Tamil Nadu, India
paarvathis@rediffmail.com
C. Radhamani
Kongu Arts and Science College, Erode-638 107, Tamil Nadu, India
palaniradhu@yahoo.co.in
Published in: "Notes on IFS", Volume 22 (2016) Number 1, pages 35-47
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Abstract: Fuzzy sets and intuitionistic fuzzy sets handle uncertainty and vagueness which Cantorian sets could not handle. Temporal intuitionistic fuzzy set with a time domain is an extension of intuitionistic fuzzy set and is useful in dealing with uncertainty and vagueness present in the time dependent real environment. In this paper, a new type of intuitionistic fuzzy set called multiparameter temporal intuitionistic fuzzy set is proposed and it’s operations are defined. Further, extended triangular membership and non-membership functions for temporal intuitionistic fuzzy sets and multi-parameter temporal intuitionistic fuzzy sets are defined. Geometric interpretation of a temporal intuitionistic fuzzy set is also dealt with a suitable example.
Keywords: Temporal intuitionistic fuzzy sets, Multi-parameter temporal intuitionistic fuzzy sets, Extended triangular intuitionistic fuzzification functions.
AMS Classification: 11D79, 11H06.
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