GENERALIZED FUZZY POLYGROUPS
چکیده(به انگلیسی؛ چکیدهی فارسی در دسترس نیست)
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.
نویسندگان و وابستگی سازمانی
- B. DavvazORCID 0000-0003-1941-5372 — Department of Mathematics, Yazd University, Yazd, Iran
- P. CorsiniORCID 0009-0000-5672-1825 — Dipartimento Di Matematica E Informatica, Via Delle Scienze 206, 33100 Udin, Italy