Extended VIKOR-QUALIFLEX Method Based on Trapezoidal Fuzzy Two-Dimensional Linguistic Information for Multiple Attribute Decision-Making with Unknown Attribute Weight

Li, Ye; Liu, Yi‐Sheng

doi:10.3390/math9010037

Cited by 6 publications

(5 citation statements)

References 41 publications

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“…Some researchers have shown interest in applying multi-criteria decision-making (MCDM) methods to address classification problems. One such method is VlseKriterijumska Optimizacijia IKompromisno Resenje (VIKOR), which incorporates the concept of maximizing overall utility and minimizing individual regrets, ranking evaluated objects based on their distances from the ideal reference values [38]. Its practical applications span diverse fields, including manufacturing [39], management [40], environment [41], agriculture [38], healthcare [42], and finance [43].…”

Section: Introductionmentioning

confidence: 99%

“…One such method is VlseKriterijumska Optimizacijia IKompromisno Resenje (VIKOR), which incorporates the concept of maximizing overall utility and minimizing individual regrets, ranking evaluated objects based on their distances from the ideal reference values [38]. Its practical applications span diverse fields, including manufacturing [39], management [40], environment [41], agriculture [38], healthcare [42], and finance [43]. However, traditional VIKOR methods, which rely on the Minkowski distance formula, suffer from limitations such as inconsistent indicator dimensions, variations in indicator importance, and correlations between indicators.…”

Section: Introductionmentioning

confidence: 99%

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Generalized Weighted Mahalanobis Distance Improved VIKOR Model for Rockburst Classification Evaluation

Chen,

Liu,

Zhao

et al. 2024

Mathematics

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Rockbursts are hazardous phenomena of sudden and violent rock failure in deep underground excavations under high geostress conditions, which poses a serious threat to geotechnical engineering. The occurrence of rockbursts is influenced by a combination of factors. Therefore, it is necessary to find an efficient method to assess rockburst grades. In this paper, we propose a novel method that enhances the VIKOR method using a novel combination of weight and generalized weighted Mahalanobis distance. The combination weights of the evaluation indicators were calculated using game theory by combining subjective experience and objective data statistical characteristics. By introducing the generalized weighted Mahalanobis distance, the VIKOR method is improved to address the issues of inconsistent dimensions, different importance, and inconsistent correlation among indicators. The proposed method can deal with the complexity of the impact factors of rockburst evaluation and classify the rockburst intensity level. The results show that the accuracy of the improved VIKOR method with the distance formula is higher than that of the unimproved VIKOR method; the evaluation accuracy of the improved VIKOR method with the generalized weighted Mahalanobis distance is 91.67%, which outperforms the improved VIKOR methods with the Euclidean and Canberra distances. This assessment method can be easily implemented and does not depend on the discussion of the rockburst occurrence mechanism, making it widely applicable for engineering rockburst evaluation.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Generalized Weighted Mahalanobis Distance Improved VIKOR Model for Rockburst Classification Evaluation

Chen,

Liu,

Zhao

et al. 2024

Mathematics

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“…Over the last couple of years, A vast study on q-ROFS has been considered by notable scholars and applied in numerous sectors [24][25][26][27]. For instance, various types of aggregation operators have been devised by the researchers such as Hamacher norm-based [28], Heronian mean [29], neutrality operational rules [24], normalized bidirectional projection [30], exponential operation rules [31], to overcome the challenges [32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

An integrated group decision-making method under q-rung orthopair fuzzy 2-tuple linguistic context with partial weight information

Abbas,

Ali,

Mashwani

et al. 2024

PLoS ONE

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Considering the advantages of q-rung orthopair fuzzy 2-tuple linguistic set (q-RFLS), which includes both linguistic and numeric data to describe evaluations, this article aims to design a new decision-making methodology by integrating Vlsekriterijumska Optimizacija I Kompromisno Resenje (VIKOR) and qualitative flexible (QUALIFLEX) methods based on the revised aggregation operators to solve multiple criteria group decision making (MCGDM). To accomplish this, we first revise the extant operational laws of q-RFLSs to make up for their shortcomings. Based on novel operational laws, we develop q-rung orthopair fuzzy 2-tuple linguistic (q-RFL) weighted averaging and geometric operators and provide the corresponding results. Next, we develop a maximization deviation model to determine the criterion weights in the decision-making procedure, which accounts for partial weight unknown information. Then, the VIKOR and QUALIFLEX methodologies are combined, which can assess the concordance index of each ranking combination using group utility and individual maximum regret value of alternative and acquire the ranking result based on each permutation’s general concordance index values. Consequently, a case study is conducted to select the best bike-sharing recycling supplier utilizing the suggested VIKOR-QUALIFLEX MCGDM method, demonstrating the method’s applicability and availability. Finally, through sensitivity and comparative analysis, the validity and superiority of the proposed method are demonstrated.

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“…On the basis of defining a new score function that considers the degree of concentration, Lin et al [ 47 ] introduced the VIKOR method combined with ScoreC-PLTS to solve the problem of traditional model that only considers limited expectation value. Li et al [ 48 ] developed an integrated VIKOR-QUALIFLEX method to measure the concordance index of each ranking combination, where the subjective and objective weights of attributes are both concerned based on the trapezoid fuzzy two-dimensional linguistic variable information. There are also some scholars that apply VIKOR to express plithogenic [ 14 , 49 ] or probabilistic double hierarchy linguistic term set (PDHLTS) [ 50 ] decision information.…”

Section: Introductionmentioning

confidence: 99%

VIKOR Method for Plithogenic Probabilistic Linguistic MAGDM and Application to Sustainable Supply Chain Financial Risk Evaluation

Wang

Lin

et al. 2022

Int. J. Fuzzy Syst.

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In the context of the increasingly competitive post-epidemic social marketing era, the sustainable development of supply chain finance is also facing the impact of more complex risk factors. However, the issue concerning how to scientifically and reasonably select the appropriate applicant company for financing cooperation on the basis of risk evaluation remains unresolved. For the smooth operation of banks’ sustainable supply chain finance (SSCF) business, this paper aims to develop a novel multi-attribute group decision-making (MAGDM) method considering the robustness and comprehensiveness among risk attributes and decision-makers (DMs). First, based on the idea that quantitative assessment values and qualitative linguistic sets can more accurately express uncertain risk information and importance degree of indicators, a novel concept is proposed that combines the probabilistic linguistic term set (PLTS) with the plithogenic set to evaluate the risk attributes of each alternative. Additionally, risk decision matrices evaluated by DMs are integrated and transformed through the operation of PLTS scoring function aggregation operators and the plithogenic contradiction degree. For deriving the integrated weight information of attributes, the objective attribute weights are determined on the basis of the subjective weights by adjusting coefficients. Then, the ranking order of alternatives is generated by applying the VIKOR method and constructing a MAGDM model with plithogenic PLTSs. Finally, the solving of a practical example concerning the selection of financing objects for SSCF oriented by risk evaluation verifies the effectiveness of the proposed model, where five risk indicators are developed, and the superiority of our studies is demonstrated by comparing with the existing TOPSIS and ELECTRE methods.

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Extended VIKOR-QUALIFLEX Method Based on Trapezoidal Fuzzy Two-Dimensional Linguistic Information for Multiple Attribute Decision-Making with Unknown Attribute Weight

Cited by 6 publications

References 41 publications

Generalized Weighted Mahalanobis Distance Improved VIKOR Model for Rockburst Classification Evaluation

Generalized Weighted Mahalanobis Distance Improved VIKOR Model for Rockburst Classification Evaluation

An integrated group decision-making method under q-rung orthopair fuzzy 2-tuple linguistic context with partial weight information

VIKOR Method for Plithogenic Probabilistic Linguistic MAGDM and Application to Sustainable Supply Chain Financial Risk Evaluation

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