ON THE EQUIVALENCE OF CONVERGENCES OF FUZZY-SETS

Authors
ROJASMEDAR M ROMANFLORES H
Citation
M. Rojasmedar et H. Romanflores, ON THE EQUIVALENCE OF CONVERGENCES OF FUZZY-SETS, Fuzzy sets and systems, 80(2), 1996, pp. 217-224
Citations number
24
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
80
Issue
2
Year of publication
1996
Pages
217 - 224
Database
ISI
SICI code
0165-0114(1996)80:2<217:OTEOCO>2.0.ZU;2-T
Abstract
The aim of this paper is to compare D, h and L-convergences with the v ariational convergence. Our analysis, which is carried out in R(n), is made through the introduction of the space E(c)(n) of compact fuzzy s ets u on R(n), for which the level function alpha is an element of [0, 1] --> L(alpha)u is an element of P-K(R(n)) is continuous. We prove t hat in this space all the above notions of convergence are equivalent.