Introduction to fuzzy logic : Axiomatics of fuzzy subsets

Axiomatics of fuzzy subsets
Introduction to fuzzy logic

Author : Arnold KAUFMANN

Publication date: October 10, 1992 | Lire en français

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4. Axiomatics of fuzzy subsets

Let's look at the axiomatics corresponding to the valuation of a fuzzy subset (it's best not to use the words fuzzy measure ).

v (∅) = 0 , v (E ) = 1

\forall \underset{˜}{A}, \underset{˜}{B} \subset E : (\underset{˜}{A} \subset \underset{˜}{B}) \Rightarrow (ν (\underset{˜}{A}) \leq ν (

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Ongoing reading
Axiomatics of fuzzy subsets

(1) - BLANCHARD (M.) - Algèbre de Boole. - Techniques de l'Ingénieur Traité Informatique industrielle, R 7 050, mars 1982.

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