Multi-Attribute Decision-Making Based on Interval-Valued q-Rung Dual Hesitant Uncertain Linguistic Sets

Xu, Wuhuan; Shang, Xiaopu; Wang, Jun; Xu, Yan

doi:10.1109/access.2020.2968381

Cited by 9 publications

(5 citation statements)

References 55 publications

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“…Generally, the parameter q permits DMs to express their evaluation in a more flexible manner, because no matter how large their evaluation values is, q can be adjusted to meet the requirement of IVq-RDHFE. As for the selection of q in practical use, an efficient manner has been proposed in our article (Xu et al 2020), and readers are recommended to get more details from it.…”

Section: The Influence Of Parameter Q On Decision Resultsmentioning

confidence: 99%

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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: The Influence Of Parameter Q On Decision Resultsmentioning

confidence: 99%

“…This sheds light on the overwhelming superiority of IVq-RDHFSs over these information expression tools when encountering diverse complex shifting decision issues. The IVq-RDHFSs has been successfully implemented in some MAGDM problems (Zhao et al 2021), and their extension versions are emerging (Feng et al 2020;Xu et al 2020).…”

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

Self Cite

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“…Interval numbers [33,34] represent the randomness of information distribution within a certain range centered around a precise value. However, in decision-making, they introduce inherent preferences and uncertainties.…”

Section: Madm Applications In Design Concept Evaluationmentioning

confidence: 99%

A Z-number and MABAC method based on reliability analysis and evaluation of product design concept

Tan,

Chen,

Wang

et al. 2024

Eksploatacja i Niezawodność – Maintenance and Reliability

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Modular design is a significant method for complicated product development. In the context of modular design, involving users in concept assessment boosts a product's appeal but also introduces decision uncertainty and unreliability. As a solution, this paper proposed a hybrid method by integrating expert consensus modeling, attribute weighting, Z-number, and the Multi-Attribute Border Approximation Area Comparison (MABAC) method. Initially, a consensus model is established using consistency theory to determine expert weights, and attribute priorities are determined through the entropy weighting method. Subsequently, the Z-number-based MABAC method ranks the alternatives, determining the optimal solution among them. Using an automated outdoor cleaning vehicle as an example, the proposed method is compared to other techniques. The sensitivity analysis and the comparisons show that the proposed method improves the reliability and objective of the decision-making process.

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“…The application and extension of IVq-RDHFSs are emerging in the field of MAGDM. Recently, considering their outstanding performance, IVq-RDHFSs have been extended to two linguistic forms (Feng et al 2020;Xu et al 2020).…”

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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Multi-Attribute Decision-Making Based on Interval-Valued q-Rung Dual Hesitant Uncertain Linguistic Sets

Cited by 9 publications

References 55 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 Z-number and MABAC method based on reliability analysis and evaluation of product design concept

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

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