A new method for deriving priority from dual hesitant fuzzy preference relations

Tang, Jie; Meng, Fanyong; Pedrycz, Witold; Fujita, Hamido

doi:10.1002/int.22562

Cited by 5 publications

(2 citation statements)

References 53 publications

(93 reference statements)

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“…Especially, to reflect the original information as much as possible, Zhu et al (2012) contributed dual hesitant fuzzy sets (DHFs) to support DMs to judge MDs and NMDs through several different possible values. Several recent publications have demonstrated the advantages of DHFs in dealing with MAGDM (Ni et al 2022;Tang et al 2021;Wei and Wang 2021). Afterwards, Ju et al (2014) discovered that interval values sometimes convey judgements better than crisp numbers.…”

Section: Introductionmentioning

confidence: 99%

A novel group decision-making method for interval-valued q-rung dual hesitant fuzzy information using extended power average operator and Frank operations

Xu,

Yao,

Wang

et al. 2024

Artif Intell Rev

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This paper advances the field of multi-attribute group decision making (MAGDM) by proposing a novel framework based on interval-valued q-rung dual hesitant fuzzy sets (IVq-RDHFSs). IVq-RDHFSs, which surpass most existing fuzzy sets, effectively represent complex fuzzy information by describing membership and non-membership degrees through interval value sets. However, prior MAGDM methods based on IVq-RDHFSs have been limited by the functions of operation rules and aggregation operators (AOs). This limitation is addressed through the construction of a new MAGDM framework, leveraging the robust Frank t-norm and t-conorm (FTT) operation and the extended power average (EPA) operator. The proposed framework features the interval-valued q-rung dual hesitant fuzzy Frank weighted extended power average (IVq-RDHFFWEPA) operator to obtain comprehensive evaluation values. The paper also introduces novel techniques for determining the weights of decision-makers and attributes. Practical applications of the proposed method are demonstrated through the assessment of desalination technology selection and rural green eco-tourism projects. Sensitivity and comparison analyses validate the superior functionality, accuracy, and flexibility of this method compared to many state-of-the-art methods. The contributions of this paper are two-fold: it develops efficient measurement techniques for IVq-RDHFSs, such as distance and weight calculation, and it introduces a comprehensive MAGDM method by integrating FTT and EPA under IVq-RDHFSs, which improves the efficiency of solving decision-making problems.

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Section: Introductionmentioning

confidence: 99%

A novel group decision-making method for interval-valued q-rung dual hesitant fuzzy information using extended power average operator and Frank operations

Xu,

Yao,

Wang

et al. 2024

Artif Intell Rev

View full text Add to dashboard Cite

show abstract

“…Several recent publications have demonstrated the advantages of DHFs in dealing with MAGDM (Ni et al 2022;Tang et al 2021;Wei et al 2021).…”

Section: Introductionmentioning

confidence: 99%

A novel group decision-making method for complex fuzzy information using extended power average operator and Frank operation

Zhong

Wang

2022

Preprint

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The interval-valued q-rung dual hesitant fuzzy sets (IVq-RDHFSs) has been proposed for effectively representing complex fuzzy information. IVq-RDHFSs can describe the membership degree and non-membership degree respectively through interval value set, and can flexibly adjust the space of information expression, which makes them surpass most existing fuzzy sets. Nevertheless, the main shortage of the existing multi-attribute group decision making (MAGDM) methods based on IVq-RDHFSs is that the functions of operation rules and aggregation operators (AOs) are very limited. Therefore, this paper investigates a new MAGDM under IVq-RDHFSs, established on the powerful Frank t-norm and t-conorm (FTT) operation and extended power average (EPA) operator. With the help of FTT, the basic operation of IVq-RDHFSs is redefined, then the interval-valued q-rung dual hesitant fuzzy Frank extended power average operator and the interval-valued q-rung dual hesitant fuzzy Frank weighted extended power average (IVq-RDHFFWEPA) operator are developed by combining FTT and EPA. Likewise, the desirable properties and special cases of the new AOs are explored. Afterwards, a novel MAGDM framework is constructed on the foundation of IVq-RDHFFWEPA operator. Compared with most existing approach, the proposed MAGDM in this paper possesses prominent ability in controlling the effect of extreme evaluation as well as modeling the risk attitude of decision-makers, so it is more appropriate for practical application. Finally, diverse experiments are devised to analyze the use and advantages of our method.

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Q-rung orthopair hesitant fuzzy preference relations and its group decision-making application

Wan,

Zhang,

Garg

et al. 2023

Complex Intell. Syst.

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To express the opinions of decision-makers, q-rung orthopair hesitant fuzzy sets (q-ROHFSs) have been employed extensively. Therefore, it is necessary to construct q-rung orthopair hesitant fuzzy preference relations (q-ROHFPRs) as a crucial decision-making tool for decision-makers. The goal of this paper aims to define a new consistency and consensus approach for solving q-ROHFPR group decision-making (GDM) problems. To do this, we first state the definitions of q-ROHFPRs and additive consistent q-ROHFPRs based on q-ROHFSs, an additive consistency index and acceptable additive consistent q-ROHFPRs. Second, based on minimizing the deviation, we establish an acceptable goal programming model for unacceptable additive consistent q-ROHFPRs. Third, an iterative algorithm is created for achieving acceptable consistency and reaching a rational consensus. The degree of rational consensus among individual q-ROHFPRs is quantified by a distance-based consensus index. Afterward, a non-linear programming model is formulated to derive the priority vector of alternatives, which are q-rung orthopair hesitant fuzzy numbers (q-ROHFNs). Based on this model, a GDM model for q-ROHFPRs is then developed. To demonstrate the validity and utility of the proposed GDM model, a case study on the risk assessment of hypertension is provided. The finding of sensitivity and comparison analyses supports the feasibility and efficacy of the suggested approach.

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A new method for deriving priority from dual hesitant fuzzy preference relations

Cited by 5 publications

References 53 publications

A novel group decision-making method for interval-valued q-rung dual hesitant fuzzy information using extended power average operator and Frank operations

A novel group decision-making method for interval-valued q-rung dual hesitant fuzzy information using extended power average operator and Frank operations

A novel group decision-making method for complex fuzzy information using extended power average operator and Frank operation

Q-rung orthopair hesitant fuzzy preference relations and its group decision-making application

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