fuzzy relation

fuzzy relation

[¦fəz·ē ri′lā·shən]
(mathematics)
A fuzzy subset of the cartesian product X × Y, denoted as a relation from a set X to a set Y.
References in periodicals archive ?
According to the proposed algorithm in this paper, we first compute an interval-valued fuzzy relation of A and B using the Mamdani operator, i.
A fuzzy set Q of X x Y is called fuzzy relation from X to Y.
Luo and Liu (2004) proposed a grey fuzzy relation method and the double base points method, based on the decision making problem under risk where the attribute weights are unknown and the attribute values are the interval numbers.
G](x,y), [for all]x, y [member of] S where [delta] is a fuzzy relation defined from 5x S in to R.
We also formulize the content and path of knowledge for quality analysis and diagnosis, and connote the diagnosi s knowledge using the method combining rules and frames, and illustrate the indeterminacy and weight fuzzy relation of error sources with error cause trees.
F1] is the error--derivative error fuzzy relation of the controller;
Grey fuzzy comprehensive evaluation based on the theory of grey fuzzy relation, Systems Engineering Theory and Practice 22(4): 141-144.
Just as the fuzzy set is a generalization of a non-fuzzy set, so is the fuzzy relation a generalization of a non-fuzzy relation.
Similarly, assume that experts evaluate scientific research conditions guarantee, the scientific research achievement and the project management situation, then the evaluation results constitute the fuzzy relation matrix of project guarantee index valuation results:

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