SOME RESULTS ON THE RESOLUTION OF FUZZY RELATION EQUATIONS

Authors
ADAMOPOULOS GI PAPPIS CP
Citation
Gi. Adamopoulos et Cp. Pappis, SOME RESULTS ON THE RESOLUTION OF FUZZY RELATION EQUATIONS, Fuzzy sets and systems, 60(1), 1993, pp. 83-88
Citations number
11
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Computer Applications & Cybernetics","Statistic & Probability",Mathematics
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
60
Issue
1
Year of publication
1993
Pages
83 - 88
Database
ISI
SICI code
0165-0114(1993)60:1<83:SROTRO>2.0.ZU;2-X
Abstract
In this paper, two special cases of the solution of the Inverse Proble m are investigated. The necessary and sufficient conditions for the ex istence of a solution such that the upper bound is the unit vector and for a unique solution of the Inverse Problem equal to the unit vector are presented. An algorithmic approach which derives the output vecto r and the state-matrix in each one of these cases is also proposed.