lProbabilistic Variable Precision Fuzzy Rough Sets

被引：24

作者：

Aggarwal, Manish ^{[1
]}

机构：

[1] Indian Inst Management, Ahmadabad 380015, Gujarat, India

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2016年 / 24卷 / 01期

关键词：

Decision making; fuzzy probabilistic information system; fuzzy rough sets; variable precision fuzzy rough sets; REDUCTION; APPROXIMATION; SIMILARITY; MODEL;

D O I：

10.1109/TFUZZ.2015.2426204

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In the real world, we often encounter varying membership grades due to varying information source values. The fuzzy rough set model is refurbished to develop probabilistic variable precision fuzzy rough set (P-VP-FRS) to deal with this imprecision. The main inspiration behind the proposed P-VP-FRS is our inability to precisely represent the imprecision, which necessitates generalization in the approximations. The adjustable parameters in P-VP-FRS control the tradeoff between the generalization and accuracy. A few measures for quality of approximation and generalization are proposed. The usefulness of P-VP-FRS is shown through a case study.

引用

页码：29 / 39

页数：11

共 50 条

[31] Function approximation by fuzzy rough sets [J].

Inuiguchi, M ;

Tanino, T .

INTELLIGENT SYSTEMS FOR INFORMATION PROCESSING: FROM REPRESENTATION TO APPLICATIONS, 2003, :93-104

[32] Kernelized Fuzzy Rough Sets and Their Applications [J].

Hu, Qinghua ;

Yu, Daren ;

Pedrycz, Witold ;

Chen, Degang .

IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING, 2011, 23 (11) :1649-1667

[33] Variable precision multi decision λ-soft dominance based rough sets and their applications in conflict problems [J].

Rehman, Noor ;

Ali, Abbas ;

Shah, Syed Inayat Ali ;

Ali, Muhammad Irfan ;

Park, Choonkil .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (06) :5345-5360

[34] Covering-based variable precision L-fuzzy rough sets based on residuated lattices and corresponding applications [J].

Jiang, Haibo ;

Zhan, Jianming ;

Chen, Degang .

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2021, 12 (08) :2407-2429

[35] Covering-Based Variable Precision (I, T)-Fuzzy Rough Sets With Applications to Multiattribute Decision-Making [J].

Jiang, Haibo ;

Zhan, Jianming ;

Chen, Degang .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2019, 27 (08) :1558-1572

[36] The Development of Fuzzy Rough Sets with the Use of Structures and Algebras of Axiomatic Fuzzy Sets [J].

Liu, Xiaodong ;

Pedrycz, Witold ;

Chai, Tianyou ;

Song, Mingli .

IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING, 2009, 21 (03) :443-462

[37] Determination of the threshold value β of variable precision rough set by fuzzy algorithms [J].

Huang, Kuang Yu ;

Chang, Ting-Hua ;

Chang, Ting-Cheng .

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2011, 52 (07) :1056-1072

[38] The further investigation of variable precision intuitionistic fuzzy rough set model [J].

Gong, Zengtai ;

Zhang, Xiaoxia .

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2017, 8 (05) :1565-1584

[39] The further investigation of variable precision intuitionistic fuzzy rough set model [J].

Zengtai Gong ;

Xiaoxia Zhang .

International Journal of Machine Learning and Cybernetics, 2017, 8 :1565-1584

[40] Fuzzy Interpolation of Fuzzy Rough Sets [J].

Gegeny, David ;

Kovacs, Szilveszter .

2022 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2022,

← 1 2 3 4 5 →