On the Search for a Measure to Compare Interval-Valued Fuzzy Sets

Díaz-Vázquez, Susana; Torres-Manzanera, Emilio; Dı́az, Irene; Montes, Susana

doi:10.3390/math9243157

Cited by 4 publications

(2 citation statements)

References 42 publications

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“…Therefore, it is reasonable to apply upper and lower estimates of the criterion for the transition of wood to the plastic stage of deformation, i.e., this criterion should be considered as an interval variable. Application of interval analysis and fuzzy sets theory seems promising, although this way is also not simple [46,47]. 1)).…”

Section: Application Of the Differential Energy Criterion For Brittle...mentioning

confidence: 99%

Differential Energy Criterion of Brittle Fracture as a Criterion for Wood’s Transition to the Plastic Deformation Stage

2023

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An experimental study and modeling of the behavior of wood during compression along the fibers was carried out. The nonlinear analytical dependence of the load on the strain was considered. Attention was focused on the post-peak stage of deformation in order to determine the load and displacement at which the transition to the stage of plastic deformation occurs. The work was aimed at substantiating the application of the energy criterion of brittle fracture as a criterion for the transition to the stage of plastic deformation. To achieve this goal, methods of mathematical modeling and analysis of test results were used. As an upshot, a simple and practical procedure was developed to predict the transition point to the above stage of plastic deformation. The simulation results were consistent with laboratory tests of samples and fragments of structures. The practical significance of this criterion lies in its possible use as an additional tool for analyzing the condition of some wooden structures. Energy criteria, including the one mentioned above, belong to fairly universal criteria. Accordingly, the research methodology can be adapted to analyze the behavior of, for example, composites under other types of loads in further studies.

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Section: Application Of the Differential Energy Criterion For Brittle...mentioning

confidence: 99%

Differential Energy Criterion of Brittle Fracture as a Criterion for Wood’s Transition to the Plastic Deformation Stage

2023

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“…Fuzzy sets and fuzzy logic have since been widely employed to handle uncertainty issues in daily life [ 61 , 62 ]. Scholars have successively optimized fuzzy sets [ 63 , 64 ], such as Fuzzy Sets of Type-2 [ 65 ], standard fuzzy sets [ 66 ], hesitant fuzzy sets [ 67 ], interval-valued intuitionistic fuzzy values [ 20 ], and complex Pythagorean fuzzy sets [ 48 ].…”

Section: Literature Reviewmentioning

confidence: 99%

Sustainable supplier selection based on VIKOR with single-valued neutrosophic sets

Luo,

Wang,

Yang

et al. 2023

PLoS ONE

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Considering economic, environmental, and social issues, the sustainability of the supply chain has drawn considerable attention due to societal and environmental changes within the supply chain network. The strategic study of the entire supply chain process and maximizing an organization’s competitive advantage depend heavily on supplier selection based on sustainable indicators. Selecting sustainable suppliers for the supply chain is challenging since it is a multi-criteria decision-making (MCDM) problem with significant uncertainty in the decision-making process. This study uses the VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) technique and single-valued neutrosophic sets (SVNS) to deal with the challenge of choosing a sustainable supplier with insufficient information. This method reduces the influence of personal experience and preference on the final evaluation results and the problem of excessive individual regret caused by factor correlation and improves the consistency of evaluation results. Finally, the method’s success and adaptability are demonstrated by sensitivity analysis and additional comparison analysis, and the benefits and drawbacks of the suggested framework are examined. Compared to other approaches, it can assist decision-makers in communicating fuzzy and uncertain information, offering a perspective and approach for MCDM in the face of such situations, and helping them select suppliers of high caliber and who practice sustainable business practices.

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A novel MADM technique based on extended power generalized Maclaurin symmetric mean operators under probabilistic dual hesitant fuzzy setting and its application to sustainable suppliers selection

Ning

Wei²,

Lin³

et al. 2022

Expert Systems with Applications

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On the Search for a Measure to Compare Interval-Valued Fuzzy Sets

Cited by 4 publications

References 42 publications

Differential Energy Criterion of Brittle Fracture as a Criterion for Wood’s Transition to the Plastic Deformation Stage

Differential Energy Criterion of Brittle Fracture as a Criterion for Wood’s Transition to the Plastic Deformation Stage

Sustainable supplier selection based on VIKOR with single-valued neutrosophic sets

A novel MADM technique based on extended power generalized Maclaurin symmetric mean operators under probabilistic dual hesitant fuzzy setting and its application to sustainable suppliers selection

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