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Issue:Norms over intuitionistic fuzzy congruence relations on rings

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Title of paper: Norms over intuitionistic fuzzy congruence relations on rings
Author(s):
Rasul Rasuli
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran
rasulirasul@yahoo.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 3, pages 51–68
DOI: https://doi.org/10.7546/nifs.2021.27.3.51-68
Download:  PDF (221  Kb, File info)
Abstract: In this paper, by using norms, we define the concept of intuitionistic fuzzy equivalence relations and intuitionistic fuzzy congruence relations on ring R and we investigate some assertions. Also we define intuitionistic fuzzy ideals of ring R under norms and compare this with fuzzy equivalence relation and fuzzy congruence relation on ring R such that we define new introduced ring.
Keywords: Rings, Ideals, Congruence relations, Fuzzy set theory, Intuitionistic mathematics, Norms, Bifuzzy equivalence relation, Bifuzzy congruence relation, Bifuzzy ideals.
AMS Classification: 05C25, 06B10, 03E72, 47A30.
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