Multi-Criteria Decision-Making Method Based on Type-2 Fuzzy Sets

被引：19
作者：
Wang, Jing [1 ,2 ]
Chen, Qing-hui [2 ]
Zhang, Hong-yu [2 ]
Chen, Xiao-hong [2 ]
Wang, Jian-qiang [2 ]
机构：
[1] Cent South Univ Forestry & Technol, Int Coll, Changsha 410004, Hunan, Peoples R China
[2] Cent S Univ, Sch Business, Changsha 410083, Hunan, Peoples R China
来源：
FILOMAT | 2017年 / 31卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Multi-criteria decision-making; Generalized fuzzy number; Type-2 fuzzy set; Fuzzy ranking method; Interval type-2 fuzzy set; AGGREGATION OPERATORS; SIMILARITY MEASURES; NEUTROSOPHIC SETS; REVISED METHOD; NUMBERS; RANKING; SYSTEM; SELECTION; DESIGN; MCDM;
D O I：
10.2298/FIL1702431W
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Type-2 fuzzy sets (T2FSs) are the extension of type-1 fuzzy sets (T1FSs), which can convey more uncertainty information in solving multi-criteria decision-making (MCDM) problems. Motivated by the extension from interval numbers to triangular fuzzy numbers, three-trapezoidal-fuzzy-number-bounded type-2 fuzzy numbers (TT2FNs) are defined on the basis of interval type-2 trapezoidal fuzzy numbers (IT2TFNs), and they can convey more uncertainty information than T1FSs and IT2FSs. Moreover, the drawbacks of the existing computational models of generalized fuzzy numbers are analyzed, and a new computational model of fuzzy numbers is proposed, which is further extended to TT2FNs. Besides, a MCDM method is proposed to deal with the evaluation information given in the form of TT2FNs. Finally, an illustrative example and comparison analysis are provided to demonstrate the feasibility and validity of the proposed method.
引用
收藏
页码：431 / 450
页数：20
相关论文
共 66 条
[1]  
[Anonymous], 2017, Uncertain Rule-Based Fuzzy Systems: Introduction and New Directions
[2]   INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, K ;
GARGOV, G .
FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349
[3]   Two theorems for intuitionistic fuzzy sets [J].
Atanassov, KT .
FUZZY SETS AND SYSTEMS, 2000, 110 (02) :267-269
[4]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[5]   Group multi-criteria decision making based upon interval-valued fuzzy numbers: An extension of the MULTIMOORA method [J].
Balezentis, Tomas ;
Zeng, Shouzhen .
EXPERT SYSTEMS WITH APPLICATIONS, 2013, 40 (02) :543-550
[6]   A framework for dynamic multiple-criteria decision making [J].
Campanella, Gianluca ;
Ribeiro, Rita A. .
DECISION SUPPORT SYSTEMS, 2011, 52 (01) :52-60
[7]   Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers [J].
Chen, Shi-Jay ;
Chen, Shyi-Ming .
APPLIED INTELLIGENCE, 2007, 26 (01) :1-11
[8]   Fuzzy decision making systems based on interval type-2 fuzzy sets [J].
Chen, Shyi-Ming ;
Wang, Cheng-Yi .
INFORMATION SCIENCES, 2013, 242 :1-21
[9]   Fuzzy multiple attributes group decision-making based on ranking interval type-2 fuzzy sets [J].
Chen, Shyi-Ming ;
Yang, Ming-Wey ;
Lee, Li-Wei ;
Yang, Szu-Wei .
EXPERT SYSTEMS WITH APPLICATIONS, 2012, 39 (05) :5295-5308
[10]   Analyzing fuzzy risk based on a new fuzzy ranking method between generalized fuzzy numbers [J].
Chen, Shyi-Ming ;
Sanguansat, Kata .
EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (03) :2163-2171
1234567