Induction of shadowed sets from fuzzy sets

被引：17
作者：
Ibrahim, Adeku Musa [1 ]
William-West, Tamunokuro Opubo [1 ]
机构：
[1] Ahmadu Bello Univ, Dept Math, Zaria, Kaduna State, Nigeria
来源：
GRANULAR COMPUTING | 2019年 / 4卷 / 01期
关键词：
Fuzzy set; Shadowed set; Uncertainty; Three-way decision;
D O I：
10.1007/s41066-018-0083-8
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A new method for computing a threshold value of an alpha -cut for the induction of shadowed sets from fuzzy sets is proposed by modifying the formula for balance of uncertainty; which is required for transforming a fuzzy set into its resulting shadowed set. In order to reach a compromise between retention of the original amount of information in a fuzzy set and the optimality of a specific threshold level, the proposed method anchors on the average of the balance of uncertainties under various feasible alpha -cuts. We describe and exemplify an algorithm which illustrates our proposed method. Finally, a number of randomly generated fuzzy sets are used as test samples to compare and point out the advantage of the proposed method over existing method.
引用
收藏
页码：27 / 38
页数：12
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