Title :
Invariant fuzzy measures on a finite algebra
Author :
Karkishchenko, A.N.
Author_Institution :
Dept. of Higher Math., State Univ. of Radio-Eng., Taganrog, Russia
Abstract :
The problem of investigating fuzzy measures which are invariant under a certain automorphism group is raised. A description of invariant fuzzy measures on a finite algebra is given. It is shown that the geometric dimension of invariant fuzzy measure polyhedron depends on the number of orbits of the corresponding group. This number is found for a cyclic automorphism group
Keywords :
algebra; fuzzy set theory; automorphism group; cyclic automorphism group; finite algebra; geometric dimension; invariant fuzzy measure polyhedron; invariant fuzzy measures; Algebra; Extraterrestrial measurements; Fuzzy sets; Mathematics; Orbits; Probability;
Conference_Titel :
Fuzzy Information Processing Society, 1996. NAFIPS., 1996 Biennial Conference of the North American
Conference_Location :
Berkeley, CA
Print_ISBN :
0-7803-3225-3
DOI :
10.1109/NAFIPS.1996.534802
