A Comparative Analysis of Possibilistic Variances and Covariances of Fuzzy Numbers

Article type: Research Article

Authors: Zhang, Wei-Guo | Wang, Ying-Luo

Affiliations: School of Business Administration, South China University of Technology Guangzhou, 510641, P.R. China. E-mail: [email protected] | The School of Management, Xi'an Jiaotong University Xi'an, Shaan'xi 710049, P.R. China. E-mail: [email protected]

Abstract: 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.

Keywords: Fuzzy number, Possibility theory, Possibilistic variance, Possibilistic covariance

Journal: Fundamenta Informaticae, vol. 79, no. 1-2, pp. 257-263, 2007