fuzzy subset การใช้

• Membership functions on X represent fuzzy subsets of X.
• It is an open question to give supports for a " Church thesis " for fuzzy mathematics, the proposed notion of recursive enumerability for fuzzy subsets is the adequate one.
• A fuzzy subset s of an algebraic structure defines a fuzzy subalgebra if and only if for every ? in [ 0, 1 ], the closed cut { x  " D : s ( x ) e " ? } of s is a subalgebra.
• The domain of the fuzzy class operator ~ { . | . } is the set of variables V and the set of fuzzy propositional functions ~ PF, and the range is the fuzzy powerset ( the set of fuzzy subsets ) of this universe, ~ P ( U ):
• Then a fuzzy subalgebra of an algebraic structure whose domain is D is defined by a fuzzy subset of D such that, for every d 1, . . ., d n in D, if "'h "'is the interpretation of the n-ary operation symbol h, then