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On a subjective evaluation model by a generalized fuzzy integral. (English) Zbl 1232.68132

Summary: First, a generalized fuzzy integral which encompasses the Sugeno integral, the Choquet integral and the opposite-Sugeno integral is proposed. A more restricted fuzzy integral can be expressed by using only one parameter of Frank’s t-norm. It also encompasses the three integrals. Next, the performance when the integral is adopted as a subjective evaluation model is theoretically investigated. Finally, an example of a subjective evaluation test is shown and discussed.

MSC:

68T37 Reasoning under uncertainty in the context of artificial intelligence
28E10 Fuzzy measure theory
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