Multi-attribute decision-making method based on a novel distance measure of linguistic intuitionistic fuzzy sets

被引：13
作者：
Cheng, Yali [1 ]
Li, Yonghong [1 ]
Yang, Jie [1 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Sch Sci, Key Lab Intelligent Anal & Decis Complex Syst, Chongqing 400065, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2021年 / 40卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Linguistic intuitionistic fuzzy set; linguistic scale function; distance measure; similarity measure; multi-attribute decision-making; AGGREGATION OPERATORS; SIMILARITY MEASURES; PROSPECT-THEORY; REPRESENTATION; 2-TUPLES;
D O I：
10.3233/JIFS-201429
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Linguistic intuitionistic fuzzy sets can qualitatively rather than quantitatively express data in the form of membership degree. But quantitative tools are required to handle qualitative information. Therefore, an improved linguistic scale function, which can more accurately manifest the subjective feelings of decision-makers, is employed to deal with linguistic intuitionistic information. Subsequently, due to some commonly used distance measures do not comprehensively evaluate the information of linguistic intuitionistic fuzzy sets, an improved distance measure of linguistic intuitionistic fuzzy sets is designed. It considers the cross-evaluation information to get more realistic reasoning results. In addition, a newsimilarity measure defined by nonlinear Gaussian diffusion model is proposed, which can provide different response scales for different information between various schemes. The properties of these measures are also studied in detail. On this basis, a method in linguistic intuitionistic fuzzy environment is developed to handle multi-attribute decision-making problems. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method and the influence of the parameters is analyzed.
引用
收藏
页码：1147 / 1160
页数：14
相关论文
共 51 条
[41]  
Xiaofang Lu, 2019, 2019 IEEE 14th International Conference on Intelligent Systems and Knowledge Engineering (ISKE). Proceedings, P129, DOI 10.1109/ISKE47853.2019.9170446
[42]  
Xu Z., 2012, Intuitionistic Fuzzy Information Aggregation: Theory and Applications, P1, DOI [10.1007/978-3-642-29584-3, DOI 10.1007/978-3-642-29584-3]
[43]   An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations [J].
Xu, ZS .
DECISION SUPPORT SYSTEMS, 2006, 41 (02) :488-499
[44]   Deviation measures of linguistic preference relations in group decision making [J].
Xu, ZS .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 2005, 33 (03) :249-254
[45]   Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment [J].
Xu, ZS .
INFORMATION SCIENCES, 2004, 168 (1-4) :171-184
[46]   Multiple Attribute Group Decision-Making Methods Based on Trapezoidal Fuzzy Two-Dimensional Linguistic Partitioned Bonferroni Mean Aggregation Operators [J].
Yin, Kedong ;
Yang, Benshuo ;
Li, Xuemei .
INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH, 2018, 15 (02)
[47]   CONCEPT OF A LINGUISTIC VARIABLE AND ITS APPLICATION TO APPROXIMATE REASONING .2. [J].
ZADEH, LA .
INFORMATION SCIENCES, 1975, 8 (04) :301-357
[48]   FUZZY SETS [J].
ZADEH, LA .
INFORMATION AND CONTROL, 1965, 8 (03) :338-&
[49]   Two types of coverings based multigranulation rough fuzzy sets and applications to decision making [J].
Zhan, Jianming ;
Xu, Weihua .
ARTIFICIAL INTELLIGENCE REVIEW, 2020, 53 (01) :167-198
[50]   Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making [J].
Zhang, Zhiming .
INFORMATION SCIENCES, 2013, 234 :150-181
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