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A sufficient and necessary condition for credibility measures. (English) Zbl 1113.28014
The authors investigate credibility measures introduced by B. Liu and Y.-K. Liu [IEEE Trans. Fuzzy Syst. 10, 445–450 (2000)]. Observe that the credibility measures are a one-to-one transformation of possibility measures introduced by L. A. Zadeh [Fuzzy Sets Syst. 1, 3–28 (1978; Zbl 0377.04002)] and thus any property of possibility measures. For example, possibility measures are determined by fuzzy subsets (with height 1) of the coresponding universe. A relevant property of fuzzy subsets determining credibility measures is shown by the authors.

MSC:
28E10 Fuzzy measure theory
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