The present paper deals with the extension of the likelihood estimation to the situation where the experimentation does not provide exact information but rather vague information.
The extension process tries to achieve three fundamental objectives: the new method must be an extension of the maximum likelihood method, it has to be very simple to apply and it must allow for an interesting interpretation.
These objectives are achieved herein by using the following concepts:...
In the course of the studies on fuzzy regression analysis, we encountered the problem of introducing a distance between fuzzy numbers, which replaces the classical (x - y) on the real line. Our proposal is to compute such a function as a suitable weighted mean of the distances between the α-cuts of the fuzzy numbers. The main difficulty is concerned with the definition of the distance between intervals, since the current definitions present some disadvantages which are undesirable in our context....
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.
In a previous paper we have studied the relevant analogies between the variance, applied to a compound scheme of probability and utility, and the measure which we had defined to evaluate the unquietness for such a compound scheme.
The purpose of the present note is to display the advantage exhibited by the second measure, with respect to the first one, in quantifying the uncertainty corresponding to the utilities. This advantage consists of the larger ability to distinguish among the...
In a recent paper we have introduced the fuzzy hyperbolic inequality index, to quantify the inequality associated with a fuzzy random variable in a finite population. In previous papers, we have also proven that the classical hyperbolic inequality index associated with real-valued random variables in finite populations can be unbiasedly estimated in random samplings. The aim of this paper is to analyze the problem of estimating the population fuzzy hyperbolic index associated with a fuzzy random...
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