Title :
Lattice of fuzzy congruences on completely 0-simple semigroups
Author :
Tang, Jian ; Xiang-Yun Xie
Author_Institution :
Sch. of Math. & Comput. Sci., Fuyang Normal Coll., Fuyang, China
Abstract :
The lattice of fuzzy congruences on a completely 0-simple semigroup is developed in the present paper. Firstly, the lattice structure of fuzzy congruences is introduced in an arbitrary semigroup. Furthermore, we prove that the lattice of fuzzy congruences on a completely 0-simple semigroup is semimodular.
Keywords :
fuzzy set theory; group theory; 0-simple semigroups; arbitrary semigroup; fuzzy congruences lattice; Educational institutions; Electronic mail; Equations; Fuzzy sets; Lattices; Presses; completely 0-simple semigroup; fuzzy congruence; fuzzy equivalence relation; fuzzy linked triple; fuzzy proper congruence;
Conference_Titel :
Computational Intelligence and Natural Computing Proceedings (CINC), 2010 Second International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-7705-0
DOI :
10.1109/CINC.2010.5643763
