Extension of an inequality index for fuzzy-valued attributes

Author

Gil, María Angeles ; López-García, Hortensia ; Lopez-Diaz, M. ; Lubiano, Asunción

Author_Institution

Dept. de Estadistica, Oviedo Univ., Spain

Volume

1

fYear

1997

fDate

1-5 Jul 1997

Firstpage

57

Abstract

In previous papers (Gill 1979, 1982; Gill et al., 1989) we have introduced an inequality index for real-valued attributes, which is closely related to Shannon´s entropy (or diversity). In practice, situations arise in which attributes involved in an inequality measurement are more appropriately quantified by means of fuzzy values. In this communication we present a fuzzy index of inequality for fuzzy-valued attributes that has been obtained from the preceding one on the basis of Zadeh´s extension principle. An analysis of the behavior of this fuzzy index is finally included, and this analysis makes use of some well-known ranking procedures

Keywords

entropy; fuzzy set theory; Zadeh´s extension principle; fuzzy index; fuzzy-valued attributes; inequality index; inequality measurement; ranking procedures; Area measurement; Entropy; Gas insulated transmission lines; Measurement uncertainty; Psychology; Random variables; Statistics;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on

Conference_Location

Barcelona

Print_ISBN

0-7803-3796-4

Type

conf

DOI

10.1109/FUZZY.1997.616344

Filename

616344