The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 13 Issue 3 Serial No. 33
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- Pages.167-187
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- 2006
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
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
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