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Literature review on type-2 fuzzy set theory. Soft comput 2022. [DOI: 10.1007/s00500-022-07304-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/15/2022]
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Efficient Algorithms for Data Processing under Type-3 (and Higher) Fuzzy Uncertainty. MATHEMATICS 2022. [DOI: 10.3390/math10132361] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
It is known that, to more adequately describe expert knowledge, it is necessary to go from the traditional (type-1) fuzzy techniques to higher-order ones: type-2, probably type-3 and even higher. Until recently, only type-1 and type-2 fuzzy sets were used in practical applications. However, lately, it turned out that type-3 fuzzy sets are also useful in some applications. Because of this practical importance, it is necessary to design efficient algorithms for data processing under such type-3 (and higher-order) fuzzy uncertainty. In this paper, we show how we can combine known efficient algorithms for processing type-1 and type-2 uncertainty to come up with a new algorithm for the type-3 case.
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Hadrani A, Guennoun K, Saadane R, Wahbi M. Fuzzy rough sets: Survey and proposal of an enhanced knowledge representation model based on automatic noisy sample detection. COGN SYST RES 2020. [DOI: 10.1016/j.cogsys.2020.05.001] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Liu X, Tao Z, Chen H, Zhou L. A MAGDM Method Based on 2-Tuple Linguistic Heronian Mean and New Operational Laws. INT J UNCERTAIN FUZZ 2016. [DOI: 10.1142/s0218488516500288] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
In this paper, we investigate the multiple attributes group decision making (MAGDM) problem with 2-tuple linguistic information. According to some closed operational laws of 2-tuple linguistic, some Algebra t-norm and s-norm based Heronian aggregation operators of 2-tuple linguistic information are put forward, the desired properties and the special cases where the parameters take different values are also discussed. Furthermore, a method of MAGDM under 2-tuple linguistic environment is proposed based on the Algebra t-norm and s-norm based 2-tuple linguistic Heronian mean operator or the Algebra t-norm and s-norm based 2-tuple linguistic weighted Heronian mean operator. Finally, a numerical example is presented to demonstrate the proposed method.
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Affiliation(s)
- Xi Liu
- School of Mathematical Sciences, Anhui University, Department of Basic Courses, Anhui Occupational College of City Management, Hefei, Anhui 230601, China
| | - Zhifu Tao
- School of Economics, Anhui University, Hefei, Anhui 230601, China
| | - Huayou Chen
- School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China
| | - Ligang Zhou
- School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China
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Zhai J, Zhang S, Zhang Y. An extension of rough fuzzy set. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2016. [DOI: 10.3233/ifs-152079] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Junhai Zhai
- Key Lab. of Machine Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University, Baoding, China
| | - Sufang Zhang
- Hebei Branch of Meteorological Cadres Training Institute, China Meteorological Administration, Baoding, China
| | - Yao Zhang
- College of Computer Science and Technology, Hebei University, Baoding, China
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Ma Z, Sun G, Liu D, Xing X. Dissipativity analysis for discrete-time fuzzy neural networks with leakage and time-varying delays. Neurocomputing 2016. [DOI: 10.1016/j.neucom.2015.10.098] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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He XX, Chen LT, Jia HT. Building cognizance rule knowledge for fault diagnosis based on fuzzy rough sets1. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2015. [DOI: 10.3233/ifs-151931] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Affiliation(s)
- Xi-Xu He
- School of Computer Science and Engineering, University of Electronic Science and Technology of China, Sichuan, China
- Center of Information, University of Electronic Science and Technology of China Chengdu, Sichuan, China
- Provincial Key Laboratory of Digital Media Chengdu, Sichuan, China
| | - Lei-ting Chen
- School of Computer Science and Engineering, University of Electronic Science and Technology of China, Sichuan, China
- Dongguan Institute of Information Engineering, University of Electronic Science and Technology of China, Sichuan, China
- Provincial Key Laboratory of Digital Media Chengdu, Sichuan, China
| | - Hai-tao Jia
- School of Computer Science and Engineering, University of Electronic Science and Technology of China, Sichuan, China
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Affiliation(s)
- Xunjie Gou
- Business School; Sichuan University; Chengdu 610064 People's Republic of China
| | - Zeshui Xu
- Business School; Sichuan University; Chengdu 610064 People's Republic of China
| | - Peijia Ren
- Business School; Sichuan University; Chengdu 610064 People's Republic of China
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