Implication BL-algebras

Authors:
A. Borumand Saeid;N. Mohtashamnia
Affiliations:
Iran National Science Foundation INSF and Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran;Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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Abstract

In this paper, we first introduce the notion of implication filters in BL-algebras and then state and prove some theorems which determine the relationships of these filters and other filters in BL-algebras. We also introduce the notion of implication BL-algebras and investigate its properties, as well as the relationship of implication BL-algebras and other algebraic structures.