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Some observations and problems connected with fuzzy relation equations. (English) Zbl 0724.04005

The author presents a kind of more general fuzzy relation equations denoted by \(B=\theta (R,A)\), where \(\theta\) is a suitable fuzzy operator, such as t-norm, producing a fuzzy set B out of a fuzzy set A and a fuzzy relation R. How to solve these equations? It is a question hard to answer. The paper studies some properties and obtains some results. Of course, they are interesting.

MSC:

03E72 Theory of fuzzy sets, etc.