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On intuitionistic fuzzy congruence of a near-ring module

P. K. Sharma
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2024.12|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제28권 제3호|pp. 261-272|DOI 10.30948/afmi.2024.28.3.261

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참고문헌

키워드

Congruence$R$-moduleIntuitionistic fuzzy submoduleQuotient moduleIntuitionistic fuzzy congruence

초록

This study aims to examine intuitionistic fuzzy congruences and intuitionistic fuzzy submodules on an $R$-module (near-ring module). The relationship between intuitionistic fuzzy congruences and intuitionistic fuzzy submodules of an $R$-module is also obtained. Furthermore, the intuitionistic fuzzy quotient $R$-module of an $R$-module over an intuitionistic fuzzy submodule is defined. The correspondence between intuitionistic fuzzy congruences on an $R$-module and intuitionistic fuzzy congruences on the intuitionistic fuzzy quotient $R$-module of an $R$-module over an intuitionistic fuzzy submodule of an $R$-module is also obtained.

Abstract

This study aims to examine intuitionistic fuzzy congruences and intuitionistic fuzzy submodules on an $R$-module (near-ring module). The relationship between intuitionistic fuzzy congruences and intuitionistic fuzzy submodules of an $R$-module is also obtained. Furthermore, the intuitionistic fuzzy quotient $R$-module of an $R$-module over an intuitionistic fuzzy submodule is defined. The correspondence between intuitionistic fuzzy congruences on an $R$-module and intuitionistic fuzzy congruences on the intuitionistic fuzzy quotient $R$-module of an $R$-module over an intuitionistic fuzzy submodule of an $R$-module is also obtained.

참고문헌 (29)

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