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The λ-average value and the fuzzy expectation of a fuzzy random variable

✍ Scribed by Miguel López-Díaz; María Angeles Gil

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
379 KB
Volume
99
Category
Article
ISSN
0165-0114

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✦ Synopsis

The concepts of fuzzy random variable, and the associated fuzzy expected value, have been introduced by Purl and Ralescu as an extension of measurable set-valued functions (random sets), and of the Aumann integral of these functions, respectively. On the other hand, the 2-average function has been suggested by Campos and Gonzhlez as an appropriate function to rank fuzzy numbers. In this paper we are going to analyze some useful properties concerning the 2-average value of the expectation of a fuzzy random variable, and some practical implications of these properties are also commented on.

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The λ→-mean squared dispersion associate
The λ→-mean squared dispersion associated with a fuzzy random variable
✍ Marı́a Asunción Lubiano; Marı́a Angeles Gil; Miguel López-Dı́az; Marı́a Teresa L 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 121 KB

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. Propertie