Title :
Some implication operators on interval sets and rough sets
Author :
Wang, Yongquan ; Zhang, Xiaohong
Author_Institution :
Dept. Coll. of Inf. Sci. & Eng., East China Univ. of Sci. & Technol., Shanghai, China
Abstract :
Two implication operators on interval sets are discussed, related structure theorems are proved. As a generalization of these results, two implication operators on rough sets are established. Moreover, a characterization of HW-algebra is proposed and a mistake in a paper is pointed out.
Keywords :
algebra; fuzzy logic; fuzzy set theory; mathematical operators; rough set theory; G-implication operator; HW-algebra; L-implication operator; interval sets; rough sets; Algebra; Educational institutions; Fuzzy logic; Gold; Information science; Lattices; Mathematics; Rough sets; HW-algebras; Interval set; MV-algebra; implication operator; residuated lattice; rough set;
Conference_Titel :
Cognitive Informatics, 2009. ICCI '09. 8th IEEE International Conference on
Conference_Location :
Kowloon, Hong Kong
Print_ISBN :
978-1-4244-4642-1
DOI :
10.1109/COGINF.2009.5250719
