Title :
On the Structure of Some Families of Fuzzy Measures
Author :
Miranda, Pedro ; Combarro, Elías F.
Author_Institution :
Complutense Univ. of Madrid, Madrid
Abstract :
The generation of fuzzy measures is an important question arising in the practical use of these operators. In this paper, we deal with the problem of developing a random generator of fuzzy measures. More concretely, we study some of the properties that any random generator should satisfy. These properties lead to some theoretical problems concerning the group of isometries that we tackle in this paper for some subfamilies of fuzzy measures.
Keywords :
fuzzy set theory; mathematical operators; number theory; probability; random processes; fuzzy measure; fuzzy set theory; isometric transformation; mathematical operator; number theory; probability distribution; random generator; Artificial intelligence; Combinatorial mathematics; Computational efficiency; Decision making; Force measurement; Game theory; Genetic algorithms; Partitioning algorithms; Prototypes; Statistics; Fuzzy measures; isometric transformations; random generation;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2007.895953
