Bipolar fuzzy rough set model on two different universes and its application

被引：57
作者：
Yang, Hai-Long [1 ,2 ]
Li, Sheng-Gang [1 ]
Wang, Shouyang [2 ]
Wang, Jue [2 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Ctr Forecasting Sci, Beijing 100190, Peoples R China
来源：
KNOWLEDGE-BASED SYSTEMS | 2012年 / 35卷
基金：
中国国家自然科学基金;
关键词：
Bipolar fuzzy sets; Rough sets; Bipolar fuzzy relations; Bipolar fuzzy compatible relations; Bipolar fuzzy rough sets; TERMINOLOGICAL DIFFICULTIES; APPROXIMATIONS; OPERATORS; RULES;
D O I：
10.1016/j.knosys.2012.01.001
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Pawlak initiated the concept of the rough set as a formal tool for modeling and processing incomplete information in information systems. Various fuzzy generalizations of the rough set have been proposed in the literature. In this paper we generalize the fuzzy rough set model on two different universes proposed by Sun and Ma. Concretely, based on the bipolar fuzzy compatible relation R-(alpha,R-beta) (alpha,beta is an element of (0,1]), the bipolar fuzzy rough set model on two different universes is presented. Some properties of the bipolar fuzzy rough set model are discussed. Two extended models of the bipolar fuzzy rough set model are given, and some related results are obtained. Finally, an example is applied to illustrate the application of the bipolar fuzzy rough set model presented in this paper. (C) 2012 Elsevier By. All rights reserved.
引用
收藏
页码：94 / 101
页数：8
相关论文
共 72 条
[61]   FUZZY SETS [J].
ZADEH, LA .
INFORMATION AND CONTROL, 1965, 8 (03) :338-&
[62]   Two new operators in rough set theory with applications to fuzzy sets [J].
Zhang, HG ;
Liang, HL ;
Liu, DR .
INFORMATION SCIENCES, 2004, 166 (1-4) :147-165
[63]  
Zhang W.X., 1998, Journal of Xi'an Jiaotong University, V34, P15
[64]   On generalized intuitionistic fuzzy rough approximation operators [J].
Zhou, Lei ;
Wu, Wei-Zhi .
INFORMATION SCIENCES, 2008, 178 (11) :2448-2465
[65]   Characterization of rough set approximations in Atanassov intuitionistic fuzzy set theory [J].
Zhou, Lei ;
Wu, Wei-Zhi .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (01) :282-296
[66]   Covering rough sets based on neighborhoods: An approach without using neighborhoods [J].
Zhu, Ping .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2011, 52 (03) :461-472
[67]   Generalized rough sets based on relations [J].
Zhu, William .
INFORMATION SCIENCES, 2007, 177 (22) :4997-5011
[68]   Relationship among basic concepts in covering-based rough sets [J].
Zhu, William .
INFORMATION SCIENCES, 2009, 179 (14) :2478-2486
[69]   Relationship between generalized rough sets based on binary relation and covering [J].
Zhu, William .
INFORMATION SCIENCES, 2009, 179 (03) :210-225
[70]   VARIABLE PRECISION ROUGH SET MODEL [J].
ZIARKO, W .
JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 1993, 46 (01) :39-59
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