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Let (( {X,wp,mu} )) be a fuzzy measure space, we denote by ({M^) the set of all non-negative measurable functions with respect to ℘. (Sugeno [1]).
Let be a fuzzy measure space,,,, and.
Let be a fuzzy measure space, with and ; then.
Let ((X,Sigma,mu)) be a fuzzy measure space.
Let (( {X,wp,mu} )) be a fuzzy measure space.
Let be a fuzzy measure space,, and, and and are comonotone functions, respectively, with,,,, and.
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We say that is a fuzzy measure if it satisfies.
Revisiting [ 33] and [ 48] we have that a set function is called a fuzzy measure if 1) g(0) = 0,, 2) if, and 3) if is an increasing sequence of measurable sets, then.
It is basically a fuzzy measure describing the probability that a block contains an edge. .
A fuzzy comparison of fuzzy variables is defined and the CCR model is extended to be a fuzzy DEA model based on credibility measure.
The idea is to construct a fuzzy measure where the interaction among criteria is limited to groups of size k (or less).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com