AN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC FUZZY LOGIC
نویسندگان
1 Department of Mathematics, Faculty of Mathematics and Com- puter, Shahid Bahonar University of Kerman, Kerman, Iran
doi
10.22111/ijfs.2012.111چکیده
In this paper we extend the notion of degrees of membership and non-membership of intuitionistic fuzzy sets to lattices and introduce a residuated lattice with appropriate operations to serve as semantics of intuitionistic fuzzy logic. It would be a step forward to find an algebraic counterpart for intuitionistic fuzzy logic. We give the main properties of the operations defined and prove some theorems to demonstrate our goal.
