Multiset filters of residuated lattices and its application in medical diagnosis

被引：5
|
作者：
Ilamathi, V. S. Anusuya [1 ]
Vimala, J. [1 ]
Davvaz, Bijan [2 ]
机构：
[1] Alagappa Univ, Dept Math, Karaikkudi, Tamil Nadu, India
[2] Yazd Univ, Dept Math, Yazd, Iran
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2019年 / 36卷 / 03期
关键词：
Multiset; multiset filter; residuated lattices; decision making problem;
D O I：
10.3233/JIFS-169940
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Residuated lattices are algebraic frameworks with crucial bond to mathematical logic. A multiset is a collection that bearing repetition of objects in it. In this paper, the notion of multisets is applied to filters of residuated lattices and introduced the new concept of multiset filters. The relation between multiset filters and their n-level sets is showed and some principal characterizations of multiset filter are discussed. Furthermore, as an application of the proposed concept, a decision making problem is presented.
引用
收藏
页码：2297 / 2305
页数：9
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