AN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC FUZZY LOGIC

被引：0
|
作者：
Eslami, E. [1 ]
机构：
[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Math, Kerman, Iran
来源：
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2012年 / 9卷 / 06期
关键词：
Intuitionistic fuzzy logic; Residuated lattice; Intuitionistic fuzzy implication;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：31 / 41
页数：11
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