The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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INTUITIONISTIC FUZZY WEAK CONGRUENCE ON A NEAR-RING MODULE

  • 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)
  • Published : 2006.08.01
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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.

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