Title :
On Fuzzifying Ideals in BCH-algebras
Author_Institution :
Key Lab. of Numerical Simulation of Sichuan Province, Neijiang Normal Univ., Neijiang, China
Abstract :
The aim of this paper is to extend fuzzifying BCH algebra by introducing a unary predicate and by adopting the semantic method of continuous lattice valued logic. We define the concepts of fuzzifying sub algebras, fuzzifying ideals, fuzzifying closed ideals, fuzzifying q-ideals and fuzzifying implicative ideals in BCH-algebras, and discuss the relations among them. How to deal with the homomorphic images and inverse images of fuzzifying ideals, fuzzifying closed ideals, fuzzifying q-ideals and fuzzifying implicative ideals are studied. The product of two fuzzifying ideals (fuzzifying closed ideals, fuzzifying q-ideals and fuzzifying implicative ideals) is investigated.
Keywords :
algebra; formal logic; fuzzy set theory; continuous lattice valued logic; fuzzifying BCH algebra; fuzzifying closed ideals; fuzzifying implicative ideals; fuzzifying q-ideals; fuzzifying subalgebras; homomorphic images; inverse images; semantic method; unary predicate; Abstract algebra; Calculus; Educational institutions; Fuzzy logic; Fuzzy systems; Information science; Laboratories; Lattices; Mathematics; Numerical simulation; BCK-algebra; fuzzifying ideal; fuzzifying imptcative ideal.; fuzzifying q-ideal; fuzzifyingclosed ideal;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.389
