Multi-Criteria Group Decision-Making for Selection of Green Suppliers under Bipolar Fuzzy PROMETHEE Process

Akram, Muhammad; Shumaiza,; Al-Kenani, Ahmad N.

doi:10.3390/sym12010077

Cited by 54 publications

(16 citation statements)

References 33 publications

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“…Akram and Arshad [2] initiated BF linguistic variables and BF numbers as a generalization of BFSs. The notion of BFSs has widely been applied in medical diagnosis, bipolar disorder, decision making, optimization, and others [3,4,40,77,78,105,15].…”

Section: Bipolar Complex Fuzzy Setsmentioning

confidence: 99%

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Selection of third party reverses logistic providers: an approach of BCF-CRITIC-MULTIMOORA using Archimedean power aggregation operators

Baidya

Garg

Saha

et al. 2021

Complex Intell. Syst.

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One of the most powerful tools to operate imprecision is bipolar complex fuzzy sets (BCFSs), which is an enlargement of bipolar fuzzy sets (BFSs) as well as complex fuzzy sets (CFSs). This paper deals with an integrated MULTIMOORA (multi-objective optimization on the basis of ratio analysis plus full multiplicative form) framework as a generalization of fuzzy MULTIMOORA procedure to assess the multi-criteria decision-making (MCDM) problems with BCFSs. We develop BCF-Archimedean power weighted (ordered weighted) arithmetic and geometric aggregation operators (AOs) and discuss their properties from this point of view. The proposed Archimedean power-weighted AOs can eliminate the influence of extreme evaluating criteria values from some biased experts with different preference attitudes under the BCF setting. Afterward, we put forward an integrated MULTIMOORA algorithm based on the proposed AOs, where criteria weights are estimated using the CRITIC (criteria importance through inter-criteria correlation) method, which is a well-known objective weighting method based on aggregated score values of options, intensity contrast of every criteria and conflict among attributes. In the proposed methodology, criteria values are aggregated based on the MULTIMOORA method that involves three sub-methods: the ‘ratio system’, the ‘reference point’ and the ‘full multiplicative form’ and thus takes less computational time, minimum mathematical evaluations and bears good stability. In the following, third-party reverse logistics providers' (3PRLP) selection problem is brought into consideration to manifest the sufficiency of the developed methodology. At the end of this study, we draw attention to a comparison between the proposed decision-making approach with the corresponding BCF-CRITIC-TOPSIS and BCF-CRITIC-WASPAS methods.

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Section: Bipolar Complex Fuzzy Setsmentioning

confidence: 99%

“…2. Next, to illustrate the strengths of the developed approaches, we also apply the existing methods [3,7,16,30,35,59] to the same numerical example discussed earlier. The results are summarized in Table 13.…”

Section: Comparative Studymentioning

confidence: 99%

Selection of third party reverses logistic providers: an approach of BCF-CRITIC-MULTIMOORA using Archimedean power aggregation operators

Baidya

Garg

Saha

et al. 2021

Complex Intell. Syst.

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“…For instance, Zhang et al [49] proposed an integrated group support with rough set theory and intuitionistic fuzzy sets by employing PROMETHEE II, thus claiming its effectiveness. Akram et al [50] suggested a multicriteria GDM model for selecting green suppliers under bipolar fuzzy PROMETHEE I and II, in which the performance ratings of three DMs are averaged for the group's ratings. On the other hand, Soba et al [51] made use of grey relation and PROMETHEE for the location selection of staffs in Turkey.…”

Section: Group Prometheementioning

confidence: 99%

“…Govindan et al [46] presented a compromise recommendation from an analysis of pairwise relations in the individuals' ranks. Akram et al [50] offered a bipolar fuzzy group PROMETHEE in which individuals' ratings are averaged into a group rating without thinking about a consensus. We observe that many interesting consensus reaching techniques can facilitate a compromise or an agreement for group PROMETHEE under the framework of Zhang et al [12], and these could be left for future study.…”

Section: Consensus Reachingmentioning

confidence: 99%

Threshold-Enhanced PROMETHEE Group Decision Support under Uncertainties

Shih

2021

Mathematical Problems in Engineering

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As threshold determination is arduous when using PROMETHEE (Preference Ranking Organization METHod for Enrichment Evaluations) to make decisions, this study proposes a comprehensive PROMETHEE-based group decision support for covering the uncertainties of threshold determination, risk preferences, and the evaluation itself. To reduce the difficulty on threshold determination, it explicitly offers statistical aggregation of individuals’ indifference and preference thresholds so as to obtain benefits from multiple sources of knowledge and experience. Three typical combinations are characterized that reflect conservative, balanced, and aggressive group preferences. We also derive 6 properties to illustrate the effects of threshold changes on preference changes. Despite variances among the individual rankings of alternatives, the rank differences within the group decisions do converge by the illustrative example. A larger interval of a conservative group preference generates more diverse ranks versus the other two group preferences. Moreover, PROMETHEE III has a power on managing inaccurate measurement. The introduction of S-shaped functions has the benefit of fitting behavioral decision making under uncertainty. Integrating these approaches together for a decision support, our proposal is less affected by rank variance and coherent with traditional group PROMETHEE under differentiated decision power.

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“…19 Some scholars demonstrated bipolar fuzzy aggregation operators [20][21][22] to enrich the mathematical calculation of bipolar fuzzy. Akram et al 23 took advantage of bipolar fuzzy and Preference Ranking Organization METHod for Enrichment of Evaluation (PROMETHEE) method resolving the problem of green supplier selection. Akram et al 24 combined bipolar fuzzy with TOPSIS method and ELimination Et Choice Translating REality (ELECTRE-I) method, respectively, to structure the MADM model.…”

mentioning

confidence: 99%

CPT‐TODIM method for bipolar fuzzy multi‐attribute group decision making and its application to network security service provider selection

Zhao

Wei

et al. 2021

Int J Intell Syst

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Network security is a very important issue in recent years. For many new or traditional enterprises, utilizing internet to store and analyze data has become an indivisible part of their production and operation. But many enterprises do not have enough ability to ensure the security of information, so the choice of the optimal network security service provider has become a practical problem faced by many ordinary companies. In this paper, we establish bipolar fuzzy interactive multi‐criteria decision‐making (TODIM) based on the cumulative prospect theory (CPT‐TODIM) model for dealing with the problem of multi‐attribute group decision making, and this special model is applied to the field of network security about the issue of network security service provider selection. The second and third parts of this paper introduce the knowledge of bipolar fuzzy and the initial CPT‐TODIM method. In the fourth part, we discuss the bipolar fuzzy CPT‐TODIM model in detail. In the last two parts of this article, the method proposed in this paper is applied to the field of network security provider selection and compared with other methods. The results show that bipolar fuzzy CPT‐TODIM method with unique advantages in some aspects is reasonable and effective, and can be applied to more uncertain decision fields. It is hoped that this method can help enterprises make better decisions.

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Multi-Criteria Group Decision-Making for Selection of Green Suppliers under Bipolar Fuzzy PROMETHEE Process

Cited by 54 publications

References 33 publications

Selection of third party reverses logistic providers: an approach of BCF-CRITIC-MULTIMOORA using Archimedean power aggregation operators

Selection of third party reverses logistic providers: an approach of BCF-CRITIC-MULTIMOORA using Archimedean power aggregation operators

Threshold-Enhanced PROMETHEE Group Decision Support under Uncertainties

CPT‐TODIM method for bipolar fuzzy multi‐attribute group decision making and its application to network security service provider selection

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