On the possibilistic mean value and variance of multiplication of fuzzy numbers
نویسندگان
چکیده
منابع مشابه
On possibilistic mean value and variance of fuzzy numbers
Dubois and Prade introduced the mean value of a fuzzy number as a closed interval bounded by the expectations calculated from its upper and lower distribution functions. In this paper introducing the notations of lower possibilistic and upper possibilistic mean values we definine the interval-valued possibilistic mean and investigate its relationship to the interval-valued probabilistic mean. W...
متن کاملOn weighted possibilistic mean and variance of fuzzy numbers
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 investigate its relationship to the interval-...
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چکیده ندارد.
15 صفحه اولSome applications of possibilistic mean value, variance, covariance and correlation
In 2001 we introduced the notions of possibilistic mean value and variance of fuzzy numbers. In this paper we list some works that use these notions. We shall mention some application areas as well. 1 Possibilistic mean value, variance, covariance and correlation A fuzzy number A is a fuzzy set R with a normal, fuzzy convex and continuous membership function of bounded support. The family of fu...
متن کاملLaw of large numbers for the possibilistic mean value
A law of large numbers for the possibilistic mean value of a variable in a possibility space is presented. An example shows that the convergence in distribution (under a definition involving the possibilistic mean value) of the sample average to a variable with a certain distribution cannot be replaced, in general, by convergence either almost surely or in necessity. Even so, the usual presenta...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.06.016