A Comparative Analysis of Possibilistic Variances and Covariances of Fuzzy Numbers

• Autorzy: Zhang W-G. , Wang Y-L.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce a new crisp possibilistic variance and a new crisp possibilistic covariance of fuzzy numbers, which are different from those introduced by Carlsson and Fullér. We show that the possibilistic variance and covariance preserve many properties of variance and covariance in probability theory. Furthermore, we investigate the relationship between several crisp possibilistic variances and covariances of fuzzy numbers.

Słowa kluczowe

EN

fuzzy number; possibility theory; possibility variance; possibility covariance

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2007
• Tom: Vol. 79, nr 1-2
• Strony: 257--263
• Opis fizyczny: bibliogr. 7 poz.

Twórcy

autor

Zhang W-G.

autor

Wang Y-L.

• School of Business Administration, South China University of Technology, Guangzhou, 510641, P.R. China,

Bibliografia

• [1] D. Dubois, H. Prade: The mean value of a fuzzy number, Fuzzy Sets and Systems 24 (1987) 279-300.
• [2] C. Carlsson, R. Fullér: On possibilistic mean value and variance of fuzzy numbers, Fuzzy Sets and Systems 122 (2001) 315-326.
• [3] R. Fullér, P. Majlender: On weighted possibilistic mean and variance of fuzzy numbers, Fuzzy Sets and Systems 136 (2003) 363-374.
• [4] L.A. Zadeh: Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1(1978)3-28.
• [5] W.M. Dong, F.S. Wong: Fuzzy weighted averages and implementation of the extension principle, Fuzzy Sets and Systems 21(1987)183-199.
• [6] M.K. Luhandjula,Multiple objective programming problems with possibilistic coefficients, Fuzzy Sets and Systems 21(1987)135-145.
• [7] W.G. Zhang, Z.K. Nie: On possibilistic variance of fuzzy numbers, Lecture Notes in Computer Science, Vol..2639(2003)398-402, Springer-Verlag.