On the possibilistic mean value and variance of multiplication of fuzzy numbers
โ Scribed by Wei Chen; Shaohua Tan
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 515 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
In this paper, we introduce the definitions of the possibilistic mean, variance and covariance of multiplication of fuzzy numbers, and show some properties of these definitions. Then, we apply these definitions to build the possibilistic models of portfolio selection under the situations involving uncertainty over the time horizon, by considering the portfolio selection problem from the point of view of possibilistic analysis. Moreover, numerical experiments with real market data indicate that our approach results in better portfolio performance.
๐ SIMILAR VOLUMES
We show that given a sequence {f,} of uniformly continuous real-valued functions which converges uniformly on a separable Banach space E, the sequence {F,} of fuzzy-number-valued functions on X, induced by f, through Zadeh's extension, converges uniformly with respect to the Hausdorff metrics on Fc~
In this paper, we first define interval-valued fuzzy numbers and interval-distribution numbers, and then their extended operations are given. Next, we discuss some applications of generalized pseudo-probability metric spaces and pseudo-metric spaces.