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- W2141739388 abstract "This paper is concerned with a construction of fuzzy sets without depending on membership function. Algebraic properties of a family of fuzzy sets are investigated. In this paper, three notions are proposed: (1) a ring of generalized fuzzy sets GF(X) of X, a complete Heyting algebra (cHa) which contains the power set P(X) of X; (2) an extension lattice B(L), where B = P(X); and (3) the set of L-fuzzy sets, where L = [Lχ| χϵ X|]. It is shown that these three notions are equivalent. The mathematical structure of scGF(X) is studied, and a ring of generalized fuzzy sets of type 2 is introduced." @default.
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- W2141739388 date "1989-09-01" @default.
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- W2141739388 title "Generalized fuzzy sets" @default.
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- W2141739388 doi "https://doi.org/10.1016/0165-0114(89)90262-5" @default.
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