| Title of paper:
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k-Intuitionistic fuzzy structures
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| Author(s):
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| P. Suseela
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| Department of Mathematics, SBK College, Aruppukottai, 626 101 - India
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| suceela93@gmail.com
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| M. Shakthiganesan
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| Department of Mathematics, SBK College, Aruppukottai, 626 101 - India
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| shakthivedha23@gmail.com
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| R. Vembu
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| Department of Mathematics, SBK College, Aruppukottai, 626 101 - India
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| msrvembu@yahoo.co.in
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| Published in:
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"Notes on IFS", Volume 22 (2016) Number 1, pages 13-26
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| Download:
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 PDF (209 Kb, File info)
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| Abstract:
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A more natural and necessary generalization of the intuitionistic fuzzy theory is developed and discussed in this paper. The generalization fits very nicely with almost all the intuitionistic fuzzy algebraic structures as well as with the intuitionistic fuzzy topological structures available in the literature. The higher dimensional intuitionistic fuzzy theory developed here helps us to define and discuss the concept of negation (complement) of a higher dimensional intuitionistic fuzzy set in a more natural way. In this paper we prove many theorems in the new context in both algebraic and topological points of view.
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| Keywords:
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Fuzzy sets, Intuitionistic fuzzy sets.
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| AMS Classification:
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03E72.
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| References:
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