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The Rough Intuitionistic Fuzzy Ideals of Intuitionistic Fuzzy Subrings in a Commutative Ring
Institution:1. Bhalukdungri Junior High School, Raigra, 723153, Purulia, W.B., India;2. Department of Pure and Applied Mathematics, Guru Ghasidas University, Bilaspur, C.G., India
Abstract:The aim of this paper is to give some definitions of rough intuitionistic fuzzy ideal, rough intuitionistic fuzzy radical, rough prime (primary) intuitionistic fuzzy ideal and rough semiprime intuitionistic fuzzy ideal of an intuitionistic fuzzy subring, and also to give some properties of such ideals. Moreover, we give their nature under homomorphism.
Keywords:Intuitionistic fuzzy set  Upper and lower approximations  Rough intuitionistic fuzzy subring  Rough intuitionistic fuzzy radical  Rough (prime  primary and semiprime) intuitionistic fuzzy ideal
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