Multi-attribute decision making based on prioritized operators under probabilistic hesitant fuzzy environments

被引：48
作者：
Li, Jian [1 ]
Wang, Zhong-xing [2 ]
机构：
[1] Guangxi Univ, Sch XingJian, Coll Sci & Liberal Arts, Nanning 530005, Guangxi, Peoples R China
[2] Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
来源：
SOFT COMPUTING | 2019年 / 23卷 / 11期
关键词：
Probabilistic hesitant fuzzy sets; Multi-attribute decision making; Prioritized aggregation operators; PHFPWA operator; PHFPWG operator; LINGUISTIC TERM SETS; AGGREGATION OPERATORS; MODEL;
D O I：
10.1007/s00500-018-3047-7
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Probabilistic hesitant fuzzy sets (PHFSs) are currently attracting the attention of numerous scholars due to their efficiency in representing uncertain and fuzzy information. PHFSs are more convenient than hesitant fuzzy sets for decision makers to provide their preference information. However, several important issues in PHFSs utilization remain to be addressed. The shortcomings of the operations in PHFSs are discussed in this paper. Probabilistic hesitant fuzzy prioritized weighted average (PHFPWA) and probabilistic hesitant fuzzy prioritized weighted geometric (PHFPWG) operators are developed on the basis of idea of prioritized aggregation operators, and their properties are described. The relationship between PHFPWA and PHFPWG operators is investigated. A multi-attribute decision-making method based on the proposed operators is presented. Two practical examples are provided to illustrate the practicality and effectiveness of the proposed method. Comparison analysis and discussion with other aggregation operators based on the same examples are provided.
引用
收藏
页码：3853 / 3868
页数：16
相关论文
共 53 条
[1]  
[Anonymous], INFORM CONTROL
[2]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[3]   Alliance-based evidential reasoning approach with unknown evidence weights [J].
Chen, Shengqun ;
Wang, Yingming ;
Shi, Hailiu ;
Zhang, Meijing ;
Lin, Yang .
EXPERT SYSTEMS WITH APPLICATIONS, 2017, 78 :193-207
[4]   Multiple attribute decision making based on novel interval-valued intuitionistic fuzzy geometric averaging operators [J].
Chen, Shyi-Ming ;
Tsai, Wei-Hsiang .
INFORMATION SCIENCES, 2016, 367 :1045-1065
[5]   Multiple criteria decision analysis using a likelihood-based outranking method based on interval-valued intuitionistic fuzzy sets [J].
Chen, Ting-Yu .
INFORMATION SCIENCES, 2014, 286 :188-208
[6]   A method for stochastic multiple attribute decision making based on concepts of ideal and anti-ideal points [J].
Fan, Zhi-Ping ;
Zhang, Xiao ;
Liu, Yang ;
Zhang, Yao .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (24) :11438-11450
[7]   Novel basic operational laws for linguistic terms, hesitant fuzzy linguistic term sets and probabilistic linguistic term sets [J].
Gou, Xunjie ;
Xu, Zeshui .
INFORMATION SCIENCES, 2016, 372 :407-427
[8]  
Harsanyi, 1980, ESSAYS ETHICS SOCIAL, P6, DOI [10.1007/978-94-010-9327-9_2, DOI 10.1007/978-94-010-9327-9_2]
[9]   Decision making with the generalized intuitionistic fuzzy power interaction averaging operators [J].
He, Yingdong ;
He, Zhen ;
Huang, He .
SOFT COMPUTING, 2017, 21 (05) :1129-1144
[10]   Scaled prioritized aggregation operators and their applications to decision making [J].
He, Yingdong ;
Chen, Huayou ;
He, Zhen ;
Wang, Guodong ;
Zhou, Ligang .
SOFT COMPUTING, 2016, 20 (03) :1021-1039
123456