Title :
Fuzzy symmetric group categories in system sciences
Author_Institution :
Coll. of Inf. Eng., Dalian Univ., China
Abstract :
In system science, the unifying performance of systems is usually presented, i.e. not only study the system itself is studied, also the relation between systems is studied. This paper put forward a new algebra construction - the category of fuzzy symmetric group, by mixing classical symmetric group and fuzzy symmetric group together. On the ground of category, the method of unifying description in system science is presented.
Keywords :
algebra; fuzzy set theory; group theory; natural sciences; algebra; classical symmetric group; fuzzy permutation; fuzzy symmetric group; natural science; system sciences; Algebra; Educational institutions; Fuzzy sets; Fuzzy systems; Lattices; Mathematics; Modems; Quantum mechanics; Tin;
Conference_Titel :
Fuzzy Information Processing Society, 2003. NAFIPS 2003. 22nd International Conference of the North American
Print_ISBN :
0-7803-7918-7
DOI :
10.1109/NAFIPS.2003.1226758