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

Received 22 October 2002

Copyright © 2003 Jianming Zhan and Zhisong Tan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.