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