The λ→-mean squared dispersion associated with a fuzzy random variable

✍ Scribed by Marı́a Asunción Lubiano; Marı́a Angeles Gil; Miguel López-Dı́az; Marı́a Teresa López

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 121 KB
• Volume: 111
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(97)00389-8

✦ Synopsis

In this paper we introduce a parameterized real-valued measure of the mean dispersion of a fuzzy random variable with respect to an arbitrary fuzzy number. This measure extends the second moment of a classical random variable, and is based on a parameterized distance between fuzzy numbers. Properties of the measure presented are analyzed, and the extension of the variance of a classical random variable, which particularizes the mean squared dispersion, is also examined. Some examples illustrating the computation and possible applications of the measure are included. Finally, a brief discussion about the interest of using a parameterized distance, and about some future directions of this study, is developed.