T-EIGEN FUZZY-SETS

Authors
FERNANDEZ MJ SUAREZ F GIL P
Citation
Mj. Fernandez et al., T-EIGEN FUZZY-SETS, Information sciences, 75(1-2), 1993, pp. 63-80
Citations number
19
Categorie Soggetti
Information Science & Library Science","Computer Science Information Systems
Journal title
Information sciences → ACNP
ISSN journal
00200255
Volume
75
Issue
1-2
Year of publication
1993
Pages
63 - 80
Database
ISI
SICI code
0020-0255(1993)75:1-2<63:TF>2.0.ZU;2-C
Abstract
This paper concerns the study of the solutions of sup-T equations such that ATR=A, where T is a triangular norm and R is a fuzzy relation. B y generalizing a result from Sanchez [12], we determine the greatest T -eigen fuzzy set of a fuzzy relation (a T-eigen fuzzy set of R being a fuzzy set A which is a solution of ATR=A). We also study some algebra ic properties for the class of the T-eigen sets of a fuzzy relation, a nd for the set of fuzzy relations leaving invariant a given fuzzy set. Finally, properties related with the transitive closure are establish ed.