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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.

28E10 Fuzzy measure theory
Full Text: DOI
[1] DOI: 10.1080/03081079708945160 · Zbl 0955.28012
[2] de Cooman G., IEEE Trans. Systems Man Cybernet.-Part A: Systems and Humans 30
[3] DOI: 10.1007/978-1-4684-5287-7
[4] DOI: 10.1006/jmaa.1997.5193 · Zbl 0884.03017
[5] DOI: 10.1023/A:1013771608623 · Zbl 1068.90618
[6] Liu B., Fuzzy Optimization and Decision Making 5
[7] DOI: 10.1007/978-3-540-39987-2
[8] DOI: 10.1007/978-3-7908-1781-2
[9] DOI: 10.1023/A:1023491000011
[10] Liu B., IEEE Transactions on Fuzzy Systems 10 pp 445–
[11] DOI: 10.1007/978-1-4757-5303-5
[12] DOI: 10.1016/S0165-0114(97)00371-0 · Zbl 0984.94045
[13] DOI: 10.1016/S0019-9958(65)90241-X · Zbl 0139.24606
[14] DOI: 10.1016/0165-0114(78)90029-5 · Zbl 0377.04002
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