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One important issue in the theory of Ordered Weighted Averaging (OWA) operators is the determination of the associated weights. One of the first approaches , suggested by O'Hagan, determines a special class of OWA operators having maximal entropy of the OWA weights for a given level of orness; algorithmically it is based on the solution of a constrained… (More)

Dubois and Prade defined an interval-valued expectation of fuzzy numbers , viewing them as consonant random sets. Carlsson and Fullér defined an interval-valued mean value of fuzzy numbers, viewing them as possibility distributions. In this paper we shall introduce the notation of weighted interval-valued possibilistic mean value of fuzzy numbers and… (More)

BACKGROUND
The Internet has recently made possible the free global availability of scientific journal articles. Open Access (OA) can occur either via OA scientific journals, or via authors posting manuscripts of articles published in subscription journals in open web repositories. So far there have been few systematic studies showing how big the extent of… (More)

In this paper we shall consider additions of interactive fuzzy numbers, where the interactivity relation between fuzzy numbers is defined by their joint possibility distribution. We will prove that Nguyen's theorem remains valid in this environment and present the explicit formulas for the γ-level sets of the extended sum of two completely correlated fuzzy… (More)

One important issue in the theory of Ordered Weighted Averaging (OWA) operators is the determination of the associated weights. One of the first approaches , suggested by O'Hagan, determines a special class of OWA operators having maximal entropy of the OWA weights for a given level of or-ness; algorithmically it is based on the solution of a constrained… (More)

The mean–variance methodology for the portfolio selection problem, originally proposed by Markowitz, has been one of the most important research ÿelds in modern ÿnance. In this paper we will assume that: (i) each investor can assign a welfare, or utility, score to competing investment portfolios based on the expected return and risk of the portfolios; and… (More)

In 2004 Fullér and Majlender introduced the notion of covariance between fuzzy numbers by their joint possibility distribution to measure the degree to which they interact. Based on this approach, in this paper we will present the concept of possibilistic correlation representing an average degree of interaction between marginal distributions of a joint… (More)

In this paper we will summarize some normative properties of possibility distributions. In 2001 Carlsson and Fullér [1] introduced the possibilistic mean value, variance and covariance of fuzzy numbers. In 2003 Fullér and Majlender [4] introduced the notations of crisp weighted possibilistic mean value, variance and covariance of fuzzy numbers, which are… (More)