Abstract

In this paper, we present a different approach to introduce evaluation and ranking of fuzzy quantities. These general fuzzy sets are obtained by the union of several fuzzy sets. They are neither normal nor convex. The idea we have followed is to use the total variation and the bounded variation function definitions applied to the membership function of a fuzzy set to introduce its evaluation. This approach has produced that the well-known method of area compensation, introduced by Fortemps and Roubens only in a geometrical framework, is now presented in a general contest and useful for any fuzzy set. Moreover, this new representation formula provides an α-cut view. This aspect, absent in Fortemps and Roubens paper, offers an evaluation by a weighted average of alfa-cuts values, where the weights are connected with the number of subintervals that produce every α-cut. Following the same idea, we have introduced the ambiguity definition of a general fuzzy set. By this new definition of evaluation and the consequent ambiguity, we present a way to rank fuzzy quantities.

Autore Pugliese

• Facchinetti Gisella , Anzilli Luca

Tutti gli autori

• L. Anzilli , G. Facchinetti

Titolo volume/Rivista

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS

Anno di pubblicazione

2013

ISSN

0884-8173

ISBN

Non Disponibile

Numero di citazioni Wos

7

Ultimo Aggiornamento Citazioni

27/04/2018

Numero di citazioni Scopus

7

Ultimo Aggiornamento Citazioni

26/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile