Opening and Closure Operators of Fuzzy Relations: Basic Properties and Applications to Fuzzy Rule-Based Systems
نویسندگان
چکیده
Images of fuzzy sets under fuzzy relations have been investigated mainly in two contexts: On the one hand, mostly under the term “full image” [5], they can be regarded as very general tools for fuzzy inference, leading to the so-called “compositional rule of inference” [1, 5]. On the other hand, under the term “extensional hull”, the image of a fuzzy set under a fuzzy equivalence relation yields the smallest superset which is “closed” under the relation, where this property is usually called “extensionality” [6].
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