Three-way convex systems and three-way fuzzy convex systems

被引：13

作者：

Zhang, Shao-Yu ^{[1
]}

Li, Sheng-Gang ^{[1
]}

Yang, Hai-Long ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China

来源：

INFORMATION SCIENCES | 2020年 / 510卷

基金：

中国国家自然科学基金;

关键词：

Three-way decisions; Convex systems; Three-way convex systems; Three-way fuzzy convex systems; ATTRIBUTE REDUCTION; DECISIONS; MODEL;

D O I：

10.1016/j.ins.2019.09.026

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study convex systems under the frame of three-way decision theory. Firstly, we give the notion of three-way convex systems. We obtain an equivalence characterization of three-way convex systems. Then, we propose the concept of three-way fuzzy convex systems in term of L-convex systems. Some related examples are presented. Finally, we establish a one-to-one correspondence between three-way convex systems and three-way fuzzy convex systems. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：89 / 98

页数：10

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