Title of article :
On (Є, Є V q)-Fuzzy Filters of Pseudo-BL Algebras
Author/Authors :
ZHAN, JIANMING Hubei Institute for Nationalities - Department of Mathematics, China , JUN, YOUNG BAE Gyeongsang National University - Department of Mathematics Education, Korea , DUDEK, WIESLAW A. Wrodaw University of Technology - Institute of Mathematics and Computer Science, Poland
Abstract :
The aim of this paper is to introduce the notion of (Є;Є Vq)-fuzzy (implicative, MV -and G-) filters of pseudo-BL algebras and to investigate some of their related properties. Some characterization theorems of these generalized fuzzy (implicative) filters are derived. The relationship among these generalized fuzzy filters of pseudo-BL algebras is considered. It is proved that an (Є;Є Vq)- fuzzy filter of a pseudo-BL algebra is an (Є;Є Vq)-fuzzy implicative filter if and only if it is both an (Є;Є Vq)-fuzzy MV filter and an (Є;Є Vq)-fuzzy G-filter. Finally, we consider the concept of implication-based fuzzy implicative filters of pseudo-BL algebras, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed.
Keywords :
Pseudo , BL algebra,filter, (Є , Є Vq) , fuzzy implicativefilter, MV filter, fuzzy logic, implication operator.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
