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Intuitionistic Fuzzy Weak Congruence on a Near-Ring Module

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Abstract

We introduce the concepts of intuitionistic fuzzy submodules and in-tuitionistic fuzzy weak congruences on an R-module (Near-ring module). And weobtain the correspondence between intuitionistic fuzzy weak congruences and in-tuitionistic fuzzy submodules of an R-module. Also, we define intuitionistic fuzzy quotient R-module of an R-module over an intuitionistic fuzzy submodule and obtain the correspondence between intuitionistic fuzzy weak congruences on an R-module and intuitionistic fuzzy weak congruences on intuitionistic fuzzy quotient R-module over an intuitionistic fuzzy submodule of an R-module.

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