A new picture fuzzy information measure based on shannon entropy with applications in opinion polls using extended VIKOR–TODIM approach

Arya, Vikas; Kumar, Satish

doi:10.1007/s40314-020-01228-1

Cited by 55 publications

(26 citation statements)

References 42 publications

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“…This pattern of combining the TODIM method with another approach seems to have been a recent trend among researchers. Arya and Kumar (2020a) implemented the combination of VIKOR and TODIM method under picture fuzzy set, and introduced Shannon entropy. Moreover, Arya and Kumar (2020b) also took advantage of divergence measures to enrich this combination.…”

Section: Introductionmentioning

confidence: 99%

CPT-Todim Method for Interval-Valued Bipolar Fuzzy Multiple Attribute Group Decision Making and Application to Industrial Control Security Service Provider Selection

Zhao

Wei

Guo

et al. 2021

Technological and Economic Development of Economy

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In recent years, a series of serious attacks against industrial control system (ICS), such as Stuxnet, Duqu, Flame and Havex, have sounded the alarm for industrial enterprises. For many industrial enterprises, it is a very important part of enterprise management decisions to evaluate ICS security suppliers and choose the appropriate one as a partner. The purpose of this paper is to build the TODIM method based on cumulative prospect theory (CPT-TODIM) to solve multiattribute group decision making problem under interval-valued bipolar fuzzy environment. This extraordinary model not only uses CPT to supplement the traditional TODIM method, but also introduces the entropy weight method to determine the attribute weight so as to avoid the negative influence of subjective weight on the decision result. In addition, in this model, all attribute evaluation information will be interval-valued bipolar fuzzy number (IVBFN) to cope with complex and fuzzy decision environment. Then, the most important part of this paper, we elaborate on the logical structure of the model. What’s more, in the last two sections, we apply this newly constructed model to the selection of ICS security suppliers, and verify the acceptability of this method by sensitivity analysis and comparing with IVBFWA and IVBFWG operator.

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Section: Introductionmentioning

confidence: 99%

CPT-Todim Method for Interval-Valued Bipolar Fuzzy Multiple Attribute Group Decision Making and Application to Industrial Control Security Service Provider Selection

Zhao

Wei

Guo

et al. 2021

Technological and Economic Development of Economy

View full text Add to dashboard Cite

show abstract

“…Arya and Kumar [43] designed a methodology using the picture fuzzy set theory. They study a new picture fuzzy entropy approach based on the probability theory to determine criteria weights.…”

Section: Recent Studies On Objective Weighting Methodsmentioning

confidence: 99%

Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC)

et al. 2021

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The weights of criteria in multi-criteria decision-making (MCDM) problems are essential elements that can significantly affect the results. Accordingly, researchers developed and presented several methods to determine criteria weights. Weighting methods could be objective, subjective, and integrated. This study introduces a new method, called MEREC (MEthod based on the Removal Effects of Criteria), to determine criteria’ objective weights. This method uses a novel idea for weighting criteria. After systematically introducing the method, we present some computational analyses to confirm the efficiency of the MEREC. Firstly, an illustrative example demonstrates the procedure of the MEREC for calculation of the weights of criteria. Secondly, a comparative analysis is presented through an example for validation of the introduced method’s results. Additionally, we perform a simulation-based analysis to verify the reliability of MEREC and the stability of its results. The data of the MCDM problems generated for making this analysis follow a prevalent symmetric distribution (normal distribution). We compare the results of the MEREC with some other objective weighting methods in this analysis, and the analysis of means (ANOM) for variances shows the stability of its results. The conducted analyses demonstrate that the MEREC is efficient to determine objective weights of criteria.

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“…Wei et al (2019d) combined bidirectional projection with PFSs to tackle some MCDM issues. Arya and Kumar (2020) designed an algorithm for PFS with the help of TODIM and VIKOR methods to explain the MCDM issues with PFNs. Lin et al (2020) developed picture fuzzy MULTIMOORA method relying on the modified score function and Borda rule to process the issue that selected the car sharing stations site in Beijing.…”

Section: Review About Picture Fuzzy Setmentioning

confidence: 99%

Copras Method for Multiple Attribute Group Decision Making Under Picture Fuzzy Environment and Their Application to Green Supplier Selection

Zhang

et al. 2021

Technological and Economic Development of Economy

105

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The green supplier selection (GSS) is a significant part in green supply chain management (GSCM). Choosing optimal green supplier can not only realize the sustainable development of enterprises, but also maximize the utilization rate of resources and diminish the negative effect of environmental issues, which conforms to the theme of green development. As a multiple attribute group decision-making (MAGDM) issue, selecting optimal green supplier is of vital important to enterprises. However, how to select the optimal supplier for enterprises is a great challenge. To handle this issue, a novel picture fuzzy COPRAS (COmplex PRoportional Assessment) method is devised. First, some necessary theories related to picture fuzzy sets (PFSs) are briefly reviewed. In addition, a method called CRITIC (Criteria Importance Though Intercrieria Correlation) is utilized to calculate criteria’s weights. Afterwards, the conventional COPRAS method is extended to the PFSs to calculate each alternative’s utility degree. At last, the designed method is exacted to an application which is related to GSS and there also conduct some comparative analysis to demonstrate the designed method’s superiority. The final results show that the proposed model can be utilized to decide the optimum green supplier.

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A new picture fuzzy information measure based on shannon entropy with applications in opinion polls using extended VIKOR–TODIM approach

Cited by 55 publications

References 42 publications

CPT-Todim Method for Interval-Valued Bipolar Fuzzy Multiple Attribute Group Decision Making and Application to Industrial Control Security Service Provider Selection

CPT-Todim Method for Interval-Valued Bipolar Fuzzy Multiple Attribute Group Decision Making and Application to Industrial Control Security Service Provider Selection

Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC)

Copras Method for Multiple Attribute Group Decision Making Under Picture Fuzzy Environment and Their Application to Green Supplier Selection

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