# 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.
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A fuzzy graph is a pair of functions G = ([sigma], [mu]) where o is a fuzzy subset of a non empty set V and p is a symmetric fuzzy relation on [sigma].
ik] is the form the membership degree of the fuzzy relation matrix, the fuzzy relation matrix is obtained, which is not enough for the evaluation of the things.
A fuzzy graph is a pair of functions G = ([sigma], [mu]) where [sigma] is a fuzzy subset of a nonempty set V and [mu] is a symmetric fuzzy relation on [sigma], i.
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:
A fuzzy rule is mathematically described as a fuzzy relation between the sets describing the antecedent and consequent.
Furthermore, the semantic element (SE) used in the linguistic term set (LTS) is constructed using the triangular membership function with fuzzy relation, which is defined in the unit interval [0, 1] by the fuzzy number ([x.
On the other hand, we need to find a fuzzy relation [[Real part].
Pedrycz, "Identification of fuzzy relation models using hierarchical fair competition-based parallel genetic algorithms and information granulation," Applied Mathematical Modelling, vol.
The whole process of expert conclusion is described by the algorithm of fuzzy reasoning based on fuzzy relations where each rule represents fuzzy relation between different categories of fuzzy variables (Zadeh 1973).
In the model the elements of the fuzzy relation determine the relationship between objective c and contractor w through their respective relationships to criterion k.
Every fuzzy rule can be transformed into a ternary fuzzy relation [R.

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