CONVEX COMBINATIONS OF GENERALIZED FUZZY RELATIONAL EQUATIONS

Authors
BOUR L LAMOTTE M
Citation
L. Bour et M. Lamotte, CONVEX COMBINATIONS OF GENERALIZED FUZZY RELATIONAL EQUATIONS, Fuzzy sets and systems, 86(1), 1997, pp. 79-91
Citations number
18
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
86
Issue
1
Year of publication
1997
Pages
79 - 91
Database
ISI
SICI code
0165-0114(1997)86:1<79:CCOGFR>2.0.ZU;2-Z
Abstract
Convex combinations of two fuzzy relational equations are studied; the se equations are built with compositions of the type conorm-norm and n orm-conorm. This study is a generalization of the works of Ohsato and Sekigushi. Previous results concerning usual fuzzy relational equation s lead to the development of convexly combined equations. First, condi tions for the existence of solutions are studied, then the resolution of equations is discussed. Finally, the concept of pseudo-solutions of a system of several equations is introduced.