@article {
author = {Davvaz, B. and Corsini, P.},
title = {GENERALIZED FUZZY POLYGROUPS},
journal = {Iranian Journal of Fuzzy Systems},
volume = {3},
number = {1},
pages = {59-75},
year = {2006},
publisher = {University of Sistan and Baluchestan},
issn = {1735-0654},
eissn = {2676-4334},
doi = {10.22111/ijfs.2006.438},
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.},
keywords = {Polygroups fuzzy set,($\epsilon$,$\epsilon$ $\vee$ q)-fuzzy subpolygroup,Fuzzy logic,Implication operator},
url = {https://ijfs.usb.ac.ir/article_438.html},
eprint = {https://ijfs.usb.ac.ir/article_438_60af777c569da9c45db7ad29f576cf8a.pdf}
}