WHAT DOES A PROBABILISTIC-INTERPRETATION OF FUZZY-SETS MEAN

Authors
LIANG P SONG FM
Citation
P. Liang et Fm. Song, WHAT DOES A PROBABILISTIC-INTERPRETATION OF FUZZY-SETS MEAN, IEEE transactions on fuzzy systems, 4(2), 1996, pp. 200-205
Citations number
25
Categorie Soggetti
Computer Science Artificial Intelligence","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on fuzzy systems → ACNP
ISSN journal
10636706
Volume
4
Issue
2
Year of publication
1996
Pages
200 - 205
Database
ISI
SICI code
1063-6706(1996)4:2<200:WDAPOF>2.0.ZU;2-G
Abstract
In this paper, we propose a statistics model to better understand the probabilistic interpretation for fuzzy sets. The model shows the relat ionship between the two kinds of statistics: the set-valued statistics for fuzzy sets and the conventional probability statistics for member ship functions. Our model overcomes the shortcomings in previous appro aches. The results of this paper provide a theoretical interpretation to Zadeh's insight that possibility relates to soft constraints restri cting the values of language variables.