generalized fuzzy polygroups

نویسندگان

b. davvaz

p. corsini

چکیده

small polygroups are multi-valued systems that satisfy group-likeaxioms. using the notion of “belonging ($epsilon$)” and “quasi-coincidence (q)” offuzzy points with fuzzy sets, the concept of ($epsilon$, $epsilon$ $vee$ q)-fuzzy subpolygroups isintroduced. the study of ($epsilon$, $epsilon$ $vee$ q)-fuzzy normal subpolygroups of a polygroupare dealt with. characterization and some of the fundamental properties ofsuch fuzzy subpolygroups are obtained. ($epsilon$, $epsilon$ $vee$ q)-fuzzy cosets determined by($epsilon$, $epsilon$ $vee$ q)-fuzzy subpolygroups are discussed. finally, a fuzzy subpolygroupwith thresholds, which is a generalization of an ordinary fuzzy subpolygroupand an ($epsilon$, $epsilon$ $vee$ q)-fuzzy subpolygroup, is defined and relations between twofuzzy subpolygroups are discussed.

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عنوان ژورنال:
iranian journal of fuzzy systems

ناشر: university of sistan and baluchestan

ISSN 1735-0654

دوره 3

شماره 1 2006

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