Title of paper:
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Multi-parameter temporal intuitionistic fuzzy sets
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Author(s):
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R. Parvathi
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Department of Mathematics, Vellalar College for Women, Erode-638 012, Tamil Nadu, India
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paarvathis@rediffmail.com
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C. Radhamani
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Kongu Arts and Science College, Erode-638 107, Tamil Nadu, India
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palaniradhu@yahoo.co.in
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Published in:
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"Notes on IFS", Volume 22 (2016) Number 1, pages 35-47
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Download:
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PDF (264 Kb, File info)
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Abstract:
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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.
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Keywords:
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Temporal intuitionistic fuzzy sets, Multi-parameter temporal intuitionistic fuzzy sets, Extended triangular intuitionistic fuzzification functions.
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AMS Classification:
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11D79, 11H06.
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References:
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