some quotients on a bck-algebra generated by a fuzzy set
نویسندگان
چکیده
first we show that the cosets of a fuzzy ideal μ in a bck-algebrax form another bck-algebra x/μ (called the fuzzy quotient bck-algebra of x by μ). also we show thatx/μ is a fuzzy partition of x and we prove several some isomorphism theorems. moreover we prove that if the associated fuzzy similarity relation of a fuzzy partition p of a commutative bck-algebra iscompatible, then p is a fuzzy quotient bck-algebra. finally we define thenotion of a coset of a fuzzy ideal and an element of a bck-algebra and proverelated theorems.
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عنوان ژورنال:
iranian journal of fuzzy systemsناشر: university of sistan and baluchestan
ISSN 1735-0654
دوره 1
شماره 2 2004
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