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Solvability criteria for systems of fuzzy relation equations
Authors:  rte Neundorf ,Rolf Bö  hm
Affiliation:

a Lichttechnisches Institut, Universität Karlsruhe (TH), Kaiserstrasse 12, 76128, Karlsruhe, Germany

b Institut für Regelungs- and Steuerungssysteme, Universität Karlsruhe (TH), Germany

Abstract:By solving systems of fuzzy relation equations, qualitative process models can be obtained. To give more information on the solving procedure and to help constructing models, solvability criteria for-systems of fuzzy relation equations are necessary. In this article such criteria will be developed. Both methods are considered. In addition to some ideas on general , the is evaluated in detail. Criteria of practical use will be developed. These criteria will limit the variety of premise intersections to guarantee solvability. Nevertheless, they will still allow to model the significant behaviour of the processes.
Keywords:Relations   Linguistic modelling   Fuzzy relation equations   Solution of composite fuzzy relation equations   Solvability criteria
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