Multi-granular soft rough covering sets

被引：18
作者：
Alcantud, Jose Carlos R. [1 ,2 ]
Zhan, Jianming [3 ]
机构：
[1] Univ Salamanca, BORDA Res Unit, Salamanca 37007, Spain
[2] Univ Salamanca, Multidisciplinary Inst Enterprise IME, Salamanca 37007, Spain
[3] Hubei Univ Nationalities, Dept Math, Enshi 445000, Peoples R China
来源：
SOFT COMPUTING | 2020年 / 24卷 / 13期
基金：
中国国家自然科学基金;
关键词：
Soft rough covering; Multi-granularity; Rough set; Covering set; GROUP DECISION-MAKING; FUZZY-SETS;
D O I：
10.1007/s00500-020-04987-5
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper presents a novel model that combines several interesting features in relation with rough sets, namely multi-granularity (which extends Pawlak's single-granular approach), soft rough sets (where the granulation structure is defined by soft sets), and coverings that induce rough sets. Optimistic and pessimistic multi-granular models are the outcome of this hybridization. Their properties, relationships, and links with existing models are thoroughly explored. Finally, an application of the model to multi-criteria group decision making is put forward. Examples and graphical discussions illustrate the performance of this criterion.
引用
收藏
页码：9391 / 9402
页数：12
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