International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 42, Pages 2653-2665
doi:10.1155/S0161171203210358

T-fuzzy multiply positive implicative BCC-ideals of BCC-algebras

Jianming Zhan and Zhisong Tan

Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, Hubei Province, China

Abstract

The concept of fuzzy multiply positive BCC-ideals of BCC-algebras is introduced, and then some related results are obtained. Moreover, we introduce the concept of T-fuzzy multiply positive implicative BCC-ideals of BCC-algebras and investigate T-product of T-fuzzy multiply positive implicative BCC-ideals of BCC-algebras, examining its properties. Using a t-norm T, the direct product and T-product of T-fuzzy multiply positive implicative BCC-ideals of BCC-algebras are discussed and their properties are investigated.