A novel entropy proposition for spherical fuzzy sets and its application in multiple attribute decision‐making

Aydoğdu, Ali; Gül, Sait

doi:10.1002/int.22256

Cited by 63 publications

(31 citation statements)

References 56 publications

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“…A spherical aggregation operator and spherical fuzzy sets have been used in multi-attribute group decision making. 42,43 Although the works of entropy and cross-entropy theory in the fuzzy system especially on hesitant fuzzy and Pythagorean approach may also be noted over here. 44,45 Liang et al 46 used the linear assignment method for multicriteria group decision making to focus the usefulness of Pythagorean fuzzy Bonferroni mean.…”

Section: Review Of Literaturementioning

confidence: 92%

“…Gül et al 41 invented a novel operator‐based cumulative belief degree to quantify credit rating. A spherical aggregation operator and spherical fuzzy sets have been used in multi‐attribute group decision making 42,43 . Although the works of entropy and cross‐entropy theory in the fuzzy system especially on hesitant fuzzy and Pythagorean approach may also be noted over here 44,45 .…”

Section: Introductionmentioning

confidence: 99%

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Solution of an imperfect‐quality EOQ model with backorder under fuzzy lock leadership game approach

Mahata

2020

Int J Intell Syst

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Section: Review Of Literaturementioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Solution of an imperfect‐quality EOQ model with backorder under fuzzy lock leadership game approach

Mahata

2020

Int J Intell Syst

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“…Some of these ranking results are quite different, and some are almost consistent. In order to verify the rationality and effectiveness of the proposed method, in this section, a comparison analysis with respect to the traditional RPN, the intuitionistic fuzzy-linear programming model-multi-attributive border approximation area comparison (IF-LPM-MABAC) method which calculates weights of risk factors with LPM, and ranks failure modes with MABAC method (Liu et al, 2019c), the spherical fuzzy-WASPAS (SF-WASPAS) method (Aydogdu & Gul, 2020) which calculates weights of risk factors with entropy measure, and ranks failure modes with MABAC method and the proposed FMEA method is conducted. Based on the above case, the ranking results of these four methods are shown in Table 7.…”

Section: Comparison Analysis Of Different Ranking Methodsmentioning

confidence: 99%

An improving failure mode and effect analysis method for pallet exchange rack risk analysis

2021

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In order to enhance quality and reliability of mechanical and electrical products, the methods of taking corresponding corrective measures to eliminate or alleviate product failure in advance have been widely concerned. Failure mode and effects analysis (FMEA) is a typical prevention reliability analysis method. However, there are some drawbacks in traditional FMEA method. To overcome these drawbacks, we propose a hybrid risk evaluation method, which combines picture fuzzy sets (PFSs), the PF-linear programming model (PF-LPM) method and the PF-weighted aggregated sum product assessment (PF-WASPAS) method. We adopt PFSs to evaluate risks of products. In order to overcome drawback of the traditional distance between PFSs, some new distance measures between PFSs based on the Dice similarity and the Jaccard similarity are proposed by us. The PF-LPM method which considers the subjective weights of risk factors and calculates synthetical deviation with the Dice similaritybased distance is utilized to calculate the weights of risk factors. Moreover, the PFWA operator and the PFWG operator are used by us to fuse experts' evaluation information. Then, the PF-WASPAS method is utilized to rank failure modes. Finally, an illustrative example with respect to pallet exchange rack is introduced, and the rationality, effectiveness and applicability of the proposed method are verified by a discussion and comparison.

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“…In this section, a comparative analysis with the Pythagorean fuzzy MOORA method, 17 the picture fuzzy additive ratio assessment (ARAS) method, 53 the three‐dimensional fuzzy TOPSIS method, and the spherical fuzzy weighted aggregated sum product assessment (WASPAS) method 54 is conducted to show the effectiveness of our proposed OHS risk assessment model. Figure 1 displays the risk ranking orders of the 11 occupational hazards derived by the considered methods.…”

Section: Illustrative Examplementioning

confidence: 99%

Occupational health and safety risk assessment using an integrated TODIM‐PROMETHEE model under linguistic spherical fuzzy environment

Liu

Zhu

Chen

et al. 2021

Int J of Intelligent Sys

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Occupational health and safety (OHS) is a multidisciplinary activity aimed at recognizing, evaluating and controlling hazards arising in or from the workplace that could impair the health and well‐being of workers. In dealing with an OHS risk analysis problem, it is a crucial step and also a big challenge to assess the risk of occupational hazards. Normally, domain experts tend to use qualitative words to express the risk of occupational hazards due to the fuzziness of human cognition, and multiple risk criteria are often involved in the OHS risk analysis. In this study, we develop a new OHS risk assessment framework by integrating the TODIM (an acronym in Portuguese for interactive and multicriteria decision‐making) and preference ranking organization method for enrichment evaluations (PROMETHEE) methods to assess and rank the risk of occupational hazards under linguistic spherical fuzzy environment. The linguistic spherical fuzzy sets are utilized to deal with the vague and uncertain risk assessments of occupational hazards provided by experts. An integrated TODIM‐PROMETHEE algorithm is introduced to determine the risk priority of the identified occupational hazards. Moreover, we extend the indifference threshold‐based attribute ratio analysis method to derive the relative weights of risk criteria based on linguistic spherical fuzzy information. Finally, the OHS risk analysis of medical staff in a hospital is presented to illustrate the effectiveness and availability of our proposed model. Results show that the TODIM‐PROMETHEE framework being developed in this study provides a useful, effective, and practical way for the risk assessment of occupational hazards in OHS.

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A novel entropy proposition for spherical fuzzy sets and its application in multiple attribute decision‐making

Cited by 63 publications

References 56 publications

Solution of an imperfect‐quality EOQ model with backorder under fuzzy lock leadership game approach

Solution of an imperfect‐quality EOQ model with backorder under fuzzy lock leadership game approach

An improving failure mode and effect analysis method for pallet exchange rack risk analysis

Occupational health and safety risk assessment using an integrated TODIM‐PROMETHEE model under linguistic spherical fuzzy environment

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