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: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
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)
Hur Kul,
Jang Su-Youn,
&
Lee Keon-Chang.
(2006). INTUITIONISTIC FUZZY WEAK CONGRUENCE ON A NEAR-RING MODULE. 한국수학교육학회지시리즈B:순수및응용수학, 13(3), 167-187.
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