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Convergent results about the use of fuzzy simulation in fuzzy optimization problems
Ist Teil von
IEEE transactions on fuzzy systems, 2006-04, Vol.14 (2), p.295-304
Ort / Verlag
New York: IEEE
Erscheinungsjahr
2006
Quelle
IEEE Electronic Library Online
Beschreibungen/Notizen
We discuss the convergence of fuzzy simulation as it is employed in fuzzy optimization problems. Several convergence concepts for sequences of fuzzy variables are defined such as convergence in optimistic value. A new approach to approximating essentially bounded fuzzy variables with continuous possibility distributions is introduced. Applying the proposed approximation method to our previous work, we prove three convergence theorems about the use of fuzzy simulation in computing the credibility of a fuzzy event, finding the optimistic value of a return function, and calculating the expected value of a fuzzy variable