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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

INTUITIONISTIC FUZZY WEAK CONGRUENCE ON A NEAR-RING MODULE

Intuitionistic Fuzzy Weak Congruence on a Near-Ring Module

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2006, v.13 no.3, pp.167-187
Hur Kul (DIVISION OF MATHEMATICS AND INFORMATIONAL STATISTIC, AND INSTITUTE OF BASIC NATURAL SCIENCE, WONKWANG UNIVERSITY)
Jang Su-Youn (DIVISION OF MATHEMATICS AND INFORMATIONAL STATISTIC, AND INSTITUTE OF BASIC NATURAL SCIENCE, WONKWANG UNIVERSITY)
Lee Keon-Chang (DEPARTMENT OF COMPUTER SCIENCE, DONGSHIN UNIVERSITY)

Abstract

We introduce the concepts of intuitionistic fuzzy submodules and intuitionistic fuzzy weak congruences on an R-module (Near-ring module). And we obtain the correspondence between intuitionistic fuzzy weak congruences and intuitionistic 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.

keywords
R-module, intuitionistic fuzzy submodule, intuitionistic fuzzy quotient module, intuitionistic fuzzy weak congruence

한국수학교육학회지시리즈B:순수및응용수학