S-APPROXIMATION SPACES: A FUZZY APPROACH

被引：0

作者：

Shakiba, A. ^{[1
]}

Hooshmandasl, M. R. ^{[2
]}

Davvaz, B. ^{[3
]}

Fazeli, S. A. Shahzadeh ^{[2
]}

机构：

[1] VALI E ASR Univ Rafsanjan, Dept Comp Sci, Rafsanjan, Iran

[2] Yazd Univ, Dept Comp Sci, Yazd, Iran

[3] Yazd Univ, Dept Math, Yazd, Iran

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2017年 / 14卷 / 02期

关键词：

Fuzzy S-approximation Spaces; Fuzzy Sets; Three-way Decisions; Monotonicity; Weak Complement Compatibility; Rough Set Theory; Rough Mereology; ROUGH SET-THEORY; 2; UNIVERSES; SIMILARITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the concept of S-approximation spaces in fuzzy set theory and investigate its properties. Along introducing three pairs of lower and upper approximation operators for fuzzy S-approximation spaces, their properties under different assumptions, e.g. monotonicity and weak complement compatibility are studied. By employing two thresholds for minimum acceptance accuracy and maximum rejection error, these spaces are interpreted in three-way decision systems by defining the corresponding positive, negative and boundary regions.

引用

页码：127 / 154

页数：28