Article

generalized fuzzy polygroups

generalized fuzzy polygroups

b. davvaz, p. corsini

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Abstract

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.

Authors and affiliations
  1. b. davvaz — department of mathematics, yazd university, yazd, iran
  2. p. corsini — dipartimento di matematica e informatica, via delle scienze 206, 33100 udin, italy

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