ON TRANSITIVE SOLUTIONS OF FUZZY EQUATIONS, INEQUALITIES AND LOWER APPROXIMATIONS OF FUZZY RELATIONS

Authors
WAGENKNECHT M
Citation
M. Wagenknecht, ON TRANSITIVE SOLUTIONS OF FUZZY EQUATIONS, INEQUALITIES AND LOWER APPROXIMATIONS OF FUZZY RELATIONS, Fuzzy sets and systems, 75(2), 1995, pp. 229-240
Citations number
6
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
75
Issue
2
Year of publication
1995
Pages
229 - 240
Database
ISI
SICI code
0165-0114(1995)75:2<229:OTSOFE>2.0.ZU;2-1
Abstract
In the present paper we determine the greatest (resp. maximal) transit ive solution of a fuzzy equation (resp. inequality). Such problem aris es, among others, when we approximate arbitrary fuzzy relations by tra nsitive ones from below. A sketch of extension of these results to int erval-valued fuzzy sets is given as well.