Type-2 fuzzy rough sets based on extended t-norms

被引：21
|
作者：
Wang, Chun Yong [1 ]
机构：
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
来源：
INFORMATION SCIENCES | 2015年 / 305卷
关键词：
Extended t-(co) norms; Type-2 fuzzy sets; Type-2 fuzzy relations; Type-2 fuzzy rough sets; Interval-valued type-2 fuzzy rough sets; ALGORITHM; SPACES;
D O I：
10.1016/j.ins.2015.01.024
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 is devoted to investigate type-2 fuzzy rough sets based on extended t-norms with respect to type-2 fuzzy relations with convex normal fuzzy truth values. Type-2 fuzzy rough sets are proposed on two finite universes of discourse and characterized from both constructive and axiomatic approaches. In the constructive approach, different classes of type-2 fuzzy rough sets are investigated. An approximate algorithm of type-2 fuzzy rough sets based on a-cut sets is given with numerical examples. In the axiomatic approach, the axiomatic characterizations of type-2 fuzzy rough approximation operators are studied. Moreover, the topological properties of type-2 fuzzy rough sets are discussed. In the end, this paper introduces interval-valued type-2 fuzzy rough sets and discusses their properties. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：165 / 183
页数：19
相关论文
共 50 条
  • [41] A comparative study of type-1 fuzzy logic systems, interval type-2 fuzzy logic systems and generalized type-2 fuzzy logic systems in control problems
    Castillo, Oscar
    Amador-Angulo, Leticia
    Castro, Juan R.
    Garcia-Valdez, Mario
    INFORMATION SCIENCES, 2016, 354 : 257 - 274
  • [42] A solid transportation problem with type-2 fuzzy variables
    Liu, Pei
    Yang, Lixing
    Wang, Li
    Li, Shukai
    APPLIED SOFT COMPUTING, 2014, 24 : 543 - 558
  • [43] Optimization of linear problems subjected to the intersection of two fuzzy relational inequalities defined by Dubois-Prade family of t-norms
    Ghodousian, Amin
    INFORMATION SCIENCES, 2019, 503 : 291 - 306
  • [44] An Incremental Interval Type-2 Neural Fuzzy Classifier
    Pratama, Mahardhika
    Lu, Jie
    Zhang, Guangquan
    2015 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2015), 2015,
  • [45] Design of type-2 Fuzzy Logic Systems Based on Improved Ant Colony Optimization
    Zhang, Zhifeng
    Wang, Tao
    Chen, Yang
    Lan, Jie
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (02) : 536 - 544
  • [46] Interval type-2 fuzzy logic system based similarity evaluation for image steganography
    Ashraf, Zubair
    Roy, Mukul Lata
    Muhuri, Pranab K.
    Lohani, Q. M. Danish
    HELIYON, 2020, 6 (05)
  • [47] Measuring the Similarity between zSlices General Type-2 Fuzzy Sets with Non-Normal Secondary Membership Functions
    McCulloch, Josie
    Wagner, Christian
    2016 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2016, : 461 - 468
  • [48] Fault Detection for Fuzzy Semi-Markov Jump Systems Based on Interval Type-2 Fuzzy Approach
    Zhang, Linchuang
    Lam, Hak-Keung
    Sun, Yonghui
    Liang, Hongjing
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2020, 28 (10) : 2375 - 2388
  • [49] Type-2 fuzzy neural networks with fuzzy clustering and differential evolution optimization
    Aliev, Rafik A.
    Pedrycz, Witold
    Guirimov, Babek G.
    Aliev, Rashad R.
    Ilhan, Umit
    Babagil, Mustafa
    Mammadli, Sadik
    INFORMATION SCIENCES, 2011, 181 (09) : 1591 - 1608
  • [50] Type-1 and Type-2 Fuzzy Logic Controller Based Multilevel DSTATCOM Using SVM
    Benzerafa, Foudil
    Tlemcani, Abelhalim
    Sebaa, Karim
    STUDIES IN INFORMATICS AND CONTROL, 2016, 25 (01): : 87 - 98
12345