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Czogała, Ernest; Drewniak, Józef

Associative monotonic operations in fuzzy set theory. (English) Zbl 0555.94027

Fuzzy Sets Syst. 12, 249-269 (1984).
Properties of associative monotonic binary operations on an interval are thoroughly investigated. These considerations allow the authors to show that the lattice operations have a rather unique position among other possible operations on fuzzy sets. Other consequences are given for generalized operations on fuzzy numbers or random variables.
Reviewer: J.Sustal

Cited in 66 Documents

MSC:

94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)

Keywords:

fuzzy probabilistic sets; associative monotonic binary operations; fuzzy sets; fuzzy numbers; random variables
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\textit{E. Czogała} and \textit{J. Drewniak}, Fuzzy Sets Syst. 12, 249--269 (1984; Zbl 0555.94027)
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References:

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