Title :
The complemented elements in fuzzy lattices
Author_Institution :
Sch. of Math. & Comput., Wuhan Textile Univ., Wuhan, China
Abstract :
The complemented elements are the special elements in fuzzy lattices, they play an important role in the research of fuzzy lattices. In this paper, we present three important properties of complemented elements about the fuzzy lattice congruence relation and homomorphism, then we show the relation theorem of complemented elements and unambiguous elements of fuzzy lattices. Finally, we obtain two characteristic theorems of “the components” of fuzzy lattices by means of complemented elements.
Keywords :
fuzzy set theory; lattice theory; complemented elements; fuzzy lattice congruence relation; homomorphism; relation theorem; unambiguous elements; Algebra; Educational institutions; Fuzzy logic; Fuzzy systems; Indexes; Lattices; Complemented elements; Components of fuzzy lattices; Fuzzy lattice;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-61284-180-9
DOI :
10.1109/FSKD.2011.6019477
