A modified method of generating Z-number based on OWA weights and maximum entropy

被引:27
作者
Tian, Ye [1 ]
Kang, Bingyi [1 ]
机构
[1] Northwest A&F Univ, Coll Informat Engn, Yangling 712100, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Z-number; OWA; Maximum entropy; Reliability; Decision making; FUZZY AGGREGATION OPERATORS; SETS; MODEL;
D O I
10.1007/s00500-020-04914-8
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
How to generate Z-number is an important and open issue in the uncertain information processing of Z-number. In Kang et al. (Int J Intell Syst 33(8):1745-1755, 2018), a method of generating Z-number using OWA weight and maximum entropy is investigated. However, the meaning of the method in Kang et al. (2018) is not clear enough according to the definition of Z-number. Inspired by the methodology in Kang et al. (2018), we modify the method of determining Z-number based on OWA weights and maximum entropy, which is more clear about the meaning of Z-number. In addition, the model of generating Z-number under the environment of group decision making is well investigated based the modified model. Some numerical examples are used to illustrate the effectiveness of the proposed methodology.
引用
收藏
页码:15841 / 15852
页数:12
相关论文
共 61 条
[1]   Z Number Based Fuzzy Inference System for Dynamic Plant Control [J].
Abiyev, Rahib H. .
ADVANCES IN FUZZY SYSTEMS, 2016, 2016
[2]  
Aliev R., 2015, COMPUT INTELL-US, V2015, P1
[3]   Functions defined on a set of Z-numbers [J].
Aliev, R. A. ;
Pedrycz, Witold ;
Huseynov, O. H. .
INFORMATION SCIENCES, 2018, 423 :353-375
[4]   The arithmetic of continuous Z-numbers [J].
Aliev, R. A. ;
Huseynov, O. H. ;
Zeinalova, L. M. .
INFORMATION SCIENCES, 2016, 373 :441-460
[5]   Z-Number-Based Linear Programming [J].
Aliev, R. A. ;
Alizadeh, A. V. ;
Huseynov, O. H. ;
Jabbarova, K. I. .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2015, 30 (05) :563-589
[6]   The arithmetic of discrete Z-numbers [J].
Aliev, R. A. ;
Alizadeh, A. V. ;
Huseynov, O. H. .
INFORMATION SCIENCES, 2015, 290 :134-155
[7]   Approximate Reasoning on a Basis of Z-Number-Valued If-Then Rules [J].
Aliev, Rafik A. ;
Pedrycz, Witold ;
Huseynov, Oleg H. ;
Eyupoglu, Serife Zihni .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (06) :1589-1600
[8]   Logarithmic Hybrid Aggregation Operators Based on Single Valued Neutrosophic Sets and Their Applications in Decision Support Systems [J].
Ashraf, Shahzaib ;
Abdullah, Saleem ;
Smarandache, Florentin ;
ul Amin, Noor .
SYMMETRY-BASEL, 2019, 11 (03)
[9]   Spherical fuzzy sets and their applications in multi-attribute decision making problems [J].
Ashraf, Shahzaib ;
Abdullah, Saleem ;
Mahmood, Tahir ;
Ghani, Fazal ;
Mahmood, Tariq .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (03) :2829-2844
[10]   Different Approaches to Multi-Criteria Group Decision Making Problems for Picture Fuzzy Environment [J].
Ashraf, Shahzaib ;
Mahmood, Tahir ;
Abdullah, Saleem ;
Khan, Qaisar .
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2019, 50 (02) :373-397