RETRACTED: Fuzzy set-valued information systems and their homomorphisms based on data compression (Retracted Article)

被引：0

作者：

Wang, Pei ^{[1
]}

Zhao, Zhengwei ^{[2
]}

Wang, Zhihong ^{[3
]}

Li, Zhaowen ^{[1
]}

机构：

[1] Yulin Normal Univ, Key Lab Complex Syst Optimizat & Big Data Proc, Dept Guangxi Educ, Yulin, Guangxi, Peoples R China

[2] Guangxi Minzu Univ, Sch Math & Phys, Nanning 530006, Guangxi, Peoples R China

[3] Southwest Jiaotong Univ, Sch Informat Sci & Technol, Chengdu, Sichuan, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2022年 / 43卷 / 03期

基金：

中国国家自然科学基金;

关键词：

FSVIS; theta-reduction; theta-core; homomorphism; tolerance relation; data compression; characterization; UNCERTAINTY;

D O I：

10.3233/JIFS-213186

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A fuzzy set-valued information system (FSVIS) is a special information system (IS) where the value of an object under each attribute or each attribute value is a fuzzy set. Homomorphism is a powerful mathematical tool to deal with FSVISs, which can be used to study relationships among them. Based on data compression, we obtain some characterizations about FSVISs and their homomorphisms. First, some homomorphisms between FSVISs are introduced. After that, attribute reduction based on tolerance relation in a FSVIS is studied. Eventually, we get invariant characterizations of FSVISs based on some special homomorphisms under data compression.

引用

页码：3311 / 3321

页数：11

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