Generalized Interval-Valued q-Rung Orthopair Hesitant Fuzzy Choquet Operators and Their Application

被引:2
|
作者
Zhang, Guofang [1 ,2 ]
Yuan, Guoqiang [3 ]
机构
[1] Hebei Univ, Sch Management, Baoding 071002, Peoples R China
[2] Hebei Univ, Coll Math & Informat Sci, Baoding 071002, Peoples R China
[3] Hebei Finance Univ, Sch Big Data Sci, Baoding 071051, Peoples R China
来源
SYMMETRY-BASEL | 2023年 / 15卷 / 01期
关键词
hesitant fuzzy; GIVqROHF; choquet integral; group decision making; DECISION-MAKING METHOD; AGGREGATION OPERATORS; TOPSIS METHOD; SETS;
D O I
10.3390/sym15010127
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Hesitant fuzzy evaluation strategy related to the interval-valued membership and nonmembership degrees should be an appropriate choice due to the lack of experience, ability and knowledge of some decision experts. In addition, it is important to reasonably model the interrelationship of these experts. In this work, firstly, the generalized interval-valued q-rung orthopair hesitant fuzzy sets (GIVqROHFSs) are defined, and some operational rules with respect to GIVqROF numbers are discussed. Secondly, two types of operators, which are denoted as GIVqROHFCA and GIVqROHFCGM, are developed. Thirdly, the desired properties and relationships of two operators are studied. Furthermore, a new multiple attributes group decision making (MAGDM) approach is proposed. Finally, three experiments are completed to illustrate the rationality of the developed method and the monotonicity of this approach concerning the parameter in the GIVqROHFCGM operator and the GIVqROHFCA operator which meets symmetrical characteristics, and shows the superiority and reliability of this new method in solving the GIVqROHF problems. The main advantages of this work include three points: (1) extending hesitant fuzzy sets to the interval-valued q-rung orthopair fuzzy case and proposing two types of aggregation operators for the GIVqROHF information; (2) considering the interaction among decision makers and among attributes in decision problems, and dealing with this interrelationship by fuzzy measure; (3) introducing the new decision method for the GIVqROHF environment and enriching the mathematical tools to solve multiple attributes decision-making problems.
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页数:47
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