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T -law of large numbers for fuzzy numbers

Andrea Marková-Stupňanová (2000)

Kybernetika

The notions of a t -norm and of a fuzzy number are recalled. The law of large numbers for fuzzy numbers is defined. The fuzzy numbers, for which the law of large numbers holds, are investigated. The case when the law of large numbers is violated is studied.

The Fréchet transform.

Mikusiński, Piotr, Phillips, Morgan, Sherwood, Howard, Taylor, Michael D. (1993)

International Journal of Mathematics and Mathematical Sciences

The fuzzy hyperbolic inequality index of fuzzy random variables in finite populations.

Norberto Corral, María Angeles Gil, Hortensia López-García (1996)

Mathware and Soft Computing

This paper presents an approach to the problem of quantifying the inequality of a finite population with respect to a (social, economical, etc.) fuzzy-valued attribute. For this purpose, the fuzzy hyperbolic inequality index is introduced, and some properties extending the basic ones for real-valued attributes are examined.

The irrelevant information principle for collective probabilistic reasoning

Martin Adamčík, George Wilmers (2014)

Kybernetika

Within the framework of discrete probabilistic uncertain reasoning a large literature exists justifying the maximum entropy inference process, error , as being optimal in the context of a single agent whose subjective probabilistic knowledge base is consistent. In particular Paris and Vencovská completely characterised the error inference process by means of an attractive set of axioms which an inference process should satisfy. More recently the second author extended the Paris-Vencovská axiomatic approach...

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