On characterization of intuitionistic fuzzy rough sets based on intuitionistic fuzzy implicators

被引：99
|
作者：
Zhou, Lei [1 ,2 ]
Wu, Wei-Zhi [1 ]
Zhang, Wen-Xiu [2 ]
机构：
[1] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Zhejiang, Peoples R China
[2] Xi An Jiao Tong Univ, Inst Informat & Syst Sci, Fac Sci, Xian 710049, Shaanxi, Peoples R China
来源：
INFORMATION SCIENCES | 2009年 / 179卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Approximation operators; Intuitionistic fuzzy logical connectives; Intuitionistic fuzzy rough sets; Intuitionistic fuzzy sets; Rough sets; TERMINOLOGICAL DIFFICULTIES; AXIOM SETS; INFORMATION; REDUCTION; MINIMIZATION;
D O I：
10.1016/j.ins.2008.11.015
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents a general framework for the study of relation-based (I, T)-intuitionistic fuzzy rough sets by using constructive and axiomatic approaches. In the constructive approach, by employing an intuitionistic fuzzy implicator I and an intuitionistic fuzzy triangle norm T, lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first defined. Properties of (1,T)-intuitionistic fuzzy rough approximation operators are examined. The connections between special types of intuitionistic fuzzy relations and properties of intuitionistic fuzzy approximation operators are established. In the axiomatic approach, an operator-oriented characterization of (21, T)-intuitionistic fuzzy rough sets is proposed. Different axiom sets characterizing the essential properties of intuitionistic fuzzy approximation operators associated with various intuitionistic fuzzy relations are explored. (C) 2008 Published by Elsevier Inc.
引用
收藏
页码：883 / 898
页数：16
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