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Convergence properties of the monotone expectation and its application to the extension of fuzzy measures

1989; Elsevier BV; Volume: 33; Issue: 2 Linguagem: Inglês

10.1016/0165-0114(89)90241-8

1872-6801

Manuel Jorge Bolaños Carmona, Luis M. de Campos, Antonio González,

Rough Sets and Fuzzy Logic

We define a functional on fuzzy measures (called monotone expectation) based on Choquet's integral operator, and we study its convergence properties. The monotone expectation is used to extend fuzzy measures to fuzzy subsets. Also Sugeno's bound for the difference between his integral and the mathematical expectation is generalized.