Novel approach to multi-attribute group decision-making based on interval-valued Pythagorean fuzzy power Maclaurin symmetric mean operator

Mu, Zhimin; Zeng, Shouzhen; Wang, Pinyue

doi:10.1016/j.cie.2020.107049

Cited by 73 publications

(43 citation statements)

References 41 publications

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“…Some decision methods that could be used to solve the relevant problems of this paper include the linear programming technique for multidimensional analysis of preference (LINMAP) method [5], the technique for order preference by similarity to an ideal solution (TOPSIS) METHOD [17], the interactive and multiple attribute decision making (TODIM) method [18], the multi-index and multi-scale (MAMS) method [7], the ORNESS measure [19], Q-ROFS [20] and MSM Operator [21]. Considering their relevance to the core topic, the LINMAP and TOPSIS methods are mainly reviewed below.…”

Section: B Related Decision-making Methods and Their Extensionsmentioning

confidence: 99%

A LINMAP Method Based on the Bounded Rationality of Evaluators for Property Service Quality Evaluation

et al. 2021

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Property service quality (PSQ) evaluation is the key means of property management. Traditional PSQ evaluation is usually based on the rational hypothesis of the evaluator. The evaluators' behaviour with bounded rationality is more in line with the characteristics of modern PSQ evaluation practice. At this point, evaluation information is usually incomplete information and heterogeneous data. The existing LINMAP methods have the ability to process incomplete information and heterogeneous information, but they cannot adapt to evaluation information processing under bounded rational behaviour. As one of the major achievements of behavioural economics, prospect theory can explain people's bounded behaviour when making decisions. The purpose of this paper was to develop a linear programming technique for multidimensional analysis of preference (LINMAP) model based on prospect theory for modern PSQ evaluation. First, a data pre-processing method was designed by referring to the TOPSIS method. Then, the value function was used to construct the dominance matrix, and the LINMAP model based on prospect theory was constructed. Finally, all alternatives were ranked in order according to overall performance value, which was solved by the LINMAP model. The feasibility and effectiveness of the proposed method were demonstrated by example analysis. Based on the evaluation results of property perceived service quality of public projects, this paper determined the important items and excellent property service projects and their reasons and proposed some suggestions to improve PSQ.

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Section: B Related Decision-making Methods and Their Extensionsmentioning

confidence: 99%

A LINMAP Method Based on the Bounded Rationality of Evaluators for Property Service Quality Evaluation

et al. 2021

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“…Third, we compare our method with those based on PMSM operator. More specific, we compare our method with that developed by Liu et al [57] based on the weighted interval-valued intuitionistic fuzzy power Maclaurin symmetric mean (WIVIFPMSM) and that put forward by Mu et al [58] based on the weighted interval-valued Pythagorean fuzzy power Maclaurin symmetric mean (WIVPFPMSM) operator. We use these three methods to solve the partner country selection problem presented in [57] and list the decision results in Table 10 (The original decision matrices are listed in Tables 1-3 in reference [57]).…”

Section: Compared With Power Maclaurin Symmetric Mean Based Decision-making Methodsmentioning

confidence: 99%

Multi-Attribute Group Decision-Making Based on Interval-Valued q-Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator and Its Application in Online Education Platform Performance Evaluation

Wang

Yang

2021

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This paper aims to propose a novel multi-attribute group decision-making (MAGDM) method based on interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs). The IVq-ROFSs have been proved to be effective in handling MAGDM problems, and several novel decision-making methods have been proposed. Nevertheless, it is worth pointing out that these approaches still have some limitations, and there still exist some realistic situations that cannot be solved by existing MAGDM methods. Hence, the objective of this paper is to introduce a novel MAGDM method, which can overcome some of the drawbacks of existing approaches. To effectively and appropriately aggregate interval-valued q-rung orthopair fuzzy numbers (IVq-ROFNs), we combine the power average with generalized Maclaurin symmetric mean (GMSM), propose the power GMSM operator and extend it into IVq-ROFSs. Afterwards, a collection of new aggregation operators for IVq-ROFNs are developed. In this paper, we study definitions of these operators and investigate their characteristics as well as special cases. Then, based on the new aggregation operators, we present a new MAGDM method. Finally, we apply the proposed MAGDM method in online education platform performance evaluation to illustrate its effectiveness and validity. In addition, we also provide comparative analysis to explain why decision-makers should use our method instead of the others.

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“…Content may change prior to final publication. Next, to obtain the grey relational grade for each alternative, we utilize (19) and (20). Table 13 presents the grey relational grade for each alternative.…”

Section: ) Stage 2: the Collection And Aggregation Of The Decision Informationmentioning

confidence: 99%

“…Therefore, the fuzzy set (FS) and its extensions are widely accepted in the green supplier selection field [16]- [18]. Unfortunately, FS and its extensions fail to deal with the inconsistency that is inherent in today"s decision practices [19].…”

Section: Introductionmentioning

confidence: 99%

A Flexible Decision-Making Method for Green Supplier Selection Integrating TOPSIS and GRA Under the Single-Valued Neutrosophic Environment

Sun

Cai

2021

IEEE Access

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The deteriorating environment and growing environmental awareness have created an urgency for selecting green suppliers. Although scholars have put forward many methods for selecting an appropriate green supplier, most of the existing methods are based on the fixed weight system, which causes these methods to fail to cope with complex and dynamic decision-making environment. To solve this problem, we develop a flexible decision model for green supplier selection where entropy, Technique for order preference by similarity to ideal solution (TOPSIS), and grey relational analysis (GRA) are embedded in the single-valued neutrosophic environment. The single-valued neutrosophic set is a superior tool in dealing with uncertainties, while the integration of single-valued set and classic methods for green supplier selection is limited. In this paper, entropy is integrated with the single-valued neutrosophic set to determine the weights of the criteria for green supplier evaluation; the weighted distance of TOPSIS and the weighted similarity of GRA are combined to select the optimal green supplier. The weights of TOPSIS and GRA are flexible; variable weights are assigned to TOPSIS and GRA based on different decision-making environments. A case study, along with comparative analysis, is carried out to prove the availability of our proposed decision model. Results show that our proposed decision model is flexible to accommodate dynamic decision-making issues and has good practicality.INDEX TERMS Entropy, Green supplier selection, Grey relational analysis (GRA), Group decision-making, Single-valued neutrosophic set (SVNS), Technique for order preference by similarity to ideal solution (TOPSIS).

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Novel approach to multi-attribute group decision-making based on interval-valued Pythagorean fuzzy power Maclaurin symmetric mean operator

Cited by 73 publications

References 41 publications

A LINMAP Method Based on the Bounded Rationality of Evaluators for Property Service Quality Evaluation

A LINMAP Method Based on the Bounded Rationality of Evaluators for Property Service Quality Evaluation

Multi-Attribute Group Decision-Making Based on Interval-Valued q-Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator and Its Application in Online Education Platform Performance Evaluation

A Flexible Decision-Making Method for Green Supplier Selection Integrating TOPSIS and GRA Under the Single-Valued Neutrosophic Environment

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