Distance-based intuitionistic multiplicative MULTIMOORA method integrating a novel weight-determining method for multiple criteria group decision making

Luo, Li; Zhang, Cheng; Liao, Huchang

doi:10.1016/j.cie.2019.03.038

Cited by 58 publications

(18 citation statements)

References 42 publications

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“…As society has developed and research problems have become more complex, the single membership has been restricted in any practical application. Therefore, IFSs (Atanassov, 1986), which are extensions of FSs, were developed and applied to solve MCDM problems (Kannan et al, 2015;Beskese et al, 2018;Liu et al, 2019b;Luo et al, 2019).…”

Section: Preliminariesmentioning

confidence: 99%

An Integrated Multi-Criteria Decision-Making Framework for Sustainable Supplier Selection Under Picture Fuzzy Environment

Peng

Tian

Zhang

et al. 2020

Technological and Economic Development of Economy

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Sustainable supplier selection (SSS) is an important part of sustainable supply chain management (SSCM). In this paper, an integrated multi-criteria decision-making (MCDM) framework, based on the picture fuzzy exponential entropy, and the VIsekriterijumska optimizacija i KOmpromisno Resenje (VIKOR) method, is proposed to manage SSS problems. Firstly, the evaluation criteria of SSS, including economic, environmental and social, is established. This can be evaluated in the form of the actual data or linguistic terms provided by suppliers and experts respectively in an actual decision-making process. Then, according to the translated scales, all the evaluation information can be converted into picture fuzzy numbers (PFNs). Secondly, the picture fuzzy exponential entropy is defined. Moreover, based on the entropy’s minimization principle, the defined picture fuzzy exponential entropy is used to determine the weight of the SSS’s criteria. Thirdly, the extended VIKOR method, which combines the grey correlation coefficient, is utilized to select a suitable supplier. This method avoids the shortcomings of the traditional VIKOR method in data mining and solves the conflict between SSS criteria. Finally, the feasibility and effectiveness of the proposed integrated decision framework are verified by an experiment, as well as a sensitivity analysis and comparative analysis.

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Section: Preliminariesmentioning

confidence: 99%

An Integrated Multi-Criteria Decision-Making Framework for Sustainable Supplier Selection Under Picture Fuzzy Environment

Peng

Tian

Zhang

et al. 2020

Technological and Economic Development of Economy

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“…To quantify the similarity between BPAs, researchers have defined different distances between BPAs 33,34,35 and apply it to solve problems 61,62,12 . Based on the proposed representation method, a new definition of distance

D

is proposed.…”

Section: Distance Between Bpasmentioning

confidence: 99%

“…D‐S theory assigns probabilities to the power set of events, so it can effectively deal with uncertainty and unknown problems. Because of the effectiveness in pattern recognition, 5,6 decision making, 7,8,9,10,11,12 reasoning, 13,14,15 and uncertainty analysis, 16,17,18,19 D‐S theory has been applied in various fields 20,21,22,23 …”

Section: Introductionmentioning

confidence: 99%

A vector and geometry interpretation of basic probability assignment in Dempster‐Shafer theory

Luo

Deng

2020

Int J Intell Syst

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Because of the superiority in dealing with uncertainty expression, Dempster-Shafer theory (D-S theory) is widely used in decision theory. In D-S theory, the basic probability assignment (BPA) is the basis and core. Recently, some researchers represent BPA on a N -dimension frame of discernment (FOD) as 2 N -dimension vector in Descartes coordinate system. This representation treats a BPA as a point in the 2 N -dimensional space. A new vector and geometry interpretation of BPA is proposed in this paper.The BPA on a N -dimension FOD is represented as N -dimension vector with parameters in this method.Then BPA is expressed as subset of N -dimension Cartesian space rather than a point. The proposed method is a new way to represent BPA with vector and geometry. The essence of this method is to convert BPA to probability distribution with parameters.The applications of this representation method in D-S theory have been studied. Based on this method, problems in D-S theory can be solved, which include the fusion of BPAs, the distance between BPAs, the correspondence between BPA and probability, and the entropy of BPAs.basic probability assignment, data fusion, dempster-shafer theory, distance, entropy Dempster-Shafer theory (D-S theory), 1,2 as an important and widely used uncertain reasoning method, has been receiving increasingly attention. 3,4 D-S theory assigns probabilities to the power set of events, so it can effectively deal with uncertainty and unknown problems. Because of the effectiveness in pattern recognition, 5,6 decision making, 7,8,9,10,11,12 reasoning, 13,14,15 and uncertainty analysis, 16,17,18,19 D-S theory has been applied in various fields. 20,21,22,23 In D-S theory, A complete set of incompatible basic hypotheses is called a frame of discernment (FOD), which represents all possible answers to a problem. The degree of trust assigned to each subset of FOD is called the basic probability assignment (BPA). Since the N -dimension FOD has 2 N subsets, some researchers represent the BPA as 2 N -dimension vector in Descartes coordinate system. 24,25 A BPA is a point in the 2 N -dimensional space in this representation method.Based on the idea of converting BPA to probability distribution (PD), a new interpretation of D-S theory is proposed in this paper. The BPA on a N -dimension FOD is represented as N -dimension vector with parameters in this method. Each dimension indicates a hypothesis in FOD. In fact, BPA is represented as a subset of N -dimension space rather than a point because of the variable parameters. In this way, BPAs have an intuitive vector and geometry representation. Based on this representation method, several problems in D-S theory have been studied, which include the fusion of BPAs, the distance between BPAs, the correspondence between BPA and probability, and the entropy of BPAs. The example shows that our method provides a new way to solve these basic problems of D-S theory, and can get reasonable results.Combination of BPAs from different information sources is a major problem in D...

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“…Then Atanassov 16 advanced an expansion form of FS called intuitionistic fuzzy set (IFS), which validly remedies the deficiency of FS through attaching a NMG. Since its introduction, the fundament theory and application on it have gotten numerous attentions, such as aggregation operator, 17 distance measure, 18 information entropy, 19 decision approach 20,21 and so forth. Later on, Alkouri et al 22 proffered the definition of complex intuitionistic fuzzy set (CIFS) to describe the undetermined and ill-defined judgement information in practical issues.…”

Section: Introductionmentioning

confidence: 99%

Complex q‐rung orthopair fuzzy 2‐tuple linguistic Maclaurin symmetric mean operators and its application to emergency program selection

2020

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This essay designs an innovate approach to work out linguistic multiattribute group decision‐making (MAGDM) issues with complex q‐rung orthopair fuzzy 2‐tuple linguistic (Cq‐ROF2TL) evaluation information. To begin with, the conception of Cq‐ROF2TL set is propounded to express uncertain and fuzzy assessment information. Meanwhile, the score and accuracy function, a comparison approach, Cq‐ROF2TL weighted averaging, and Cq‐ROF2TL weighted geometric operator are put forward. Furthermore, to take into consideration the correlation among multiple input data, the Cq‐ROF2TL Maclaurin symmetric mean (MSM) operator, the Cq‐ROF2TL dual MSM operator and their weighted forms are presented. Several attractive characteristics and particular instances of the developed operators are also explored at length. Later, an innovative MAGDM methodology is designed based upon the propounded operators to settle the emergency program evaluation issue under the Cq‐ROF2TL circumstance. Consequently, the efficiency and outstanding superiority of the created approach are severally substantiated by parameter exploration and detailed comparative analysis.

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Distance-based intuitionistic multiplicative MULTIMOORA method integrating a novel weight-determining method for multiple criteria group decision making

Cited by 58 publications

References 42 publications

An Integrated Multi-Criteria Decision-Making Framework for Sustainable Supplier Selection Under Picture Fuzzy Environment

An Integrated Multi-Criteria Decision-Making Framework for Sustainable Supplier Selection Under Picture Fuzzy Environment

A vector and geometry interpretation of basic probability assignment in Dempster‐Shafer theory

Complex q‐rung orthopair fuzzy 2‐tuple linguistic Maclaurin symmetric mean operators and its application to emergency program selection

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