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A note on measures of specificity for fuzzy sets. (English) Zbl 0569.94032
This is the same paper as in BUSEFAL 19, 83-89 (1984; Zbl 0555.94028). In a previous paper [Fuzzy Sets Syst. 10, 15-20 (1983; Zbl 0515.60005)], the authors pointed out a one-to-one correspondence between a probability distribution and a possibility distribution on finite domains. Thus a probabilistic interpretation of R. R. Yager’s specificity index [Fuzzy Set Theory, Proc. 3rd Int. Semin., Linz/Austria 1981, 212-222 (1981; Zbl 0481.94026)] of a possibility distribution is provided in the finite case. In probabilistic terms, the possibilistic entropy of M. Higashi and G. J. Klir [Int. J. Gen. Syst. 9, 43-58 (1982; Zbl 0497.94008)] is also obtained.
Reviewer: S.Sessa

MSC:
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
94A17 Measures of information, entropy
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References:
[1] De Luca A., Information and Control 20 pp 301– (1972) · Zbl 0239.94028 · doi:10.1016/S0019-9958(72)90199-4
[2] Dubois D., Fuzzy Sets and Systems 10 pp 15– (1983) · Zbl 0515.60005 · doi:10.1016/S0165-0114(83)80099-2
[3] Higashi M., Int. J. General Systems 9 pp 43– (1983) · Zbl 0497.94008 · doi:10.1080/03081078208960799
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[5] Yager R. R., Proc. 3rd Int. Seminar on Fuzzy Set Theory pp 211– (1981)
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