Dynamic aggregation operators and Einstein operations based on interval-valued picture hesitant fuzzy information and their applications in multi-period decision making

Kamacı, Hüseyin; Petchimuthu, Subramanian; Akçetin, Eyüp

doi:10.1007/s40314-021-01510-w

Cited by 40 publications

(17 citation statements)

References 46 publications

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“…Based on Einstein operations, Kamaci et al. ( 2021 ) described the notion of interval-valued picture hesitant fuzzy set (IVPHFS) and its operational laws. Moreover, the authors derived some dynamic IVPHF AOs (based on Einstein operators) to aggregate these sets collected at different time periods.…”

Section: Literature Reviewmentioning

confidence: 99%

Multi-attribute decision-making for electronic waste recycling using interval-valued Fermatean fuzzy Hamacher aggregation operators

Luqman

Shahzadi

2023

Granul. Comput.

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The utilization of electrical and electronics equipments in waste recycling has become a paramount for various countries. The waste electrical and electronics equipment (WEEE) recyclers own a crucial position in the environmental growth of a country as they help to minimize the carbon emissions during the recycling of WEEE in the most eco-friendly way. Therefore, the selection and assessment of an appropriate WEEE recycling partner has become a most important part of DM (decision-making) applications. The collusion of numerous quantitative and qualitative factors makes the recycling partner selection problem, a multifaced and significant decision for the managerial experts. The main objective of this work is to propose MADM (multi-attribute decision-making) techniques to evaluate the WEEE recycling partners under interval-valued Fermatean fuzzy (IVFF) information. In this regard, certain Hamacher AOs (aggregation operators) are proposed to develop the required DM method. These AOs include Hamacher weighted averaging, ordered weighted averaging, weighted geometric, ordered weighted geometric, generalized Einstein weighted averaging, generalized Einstein ordered weighted averaging, generalized Einstein weighted geometric, etc. Then, these averaging operators are utilized to come up with a MADM techniques under IVFF environment. Furthermore, the constructed technique is applied to a case study in China to incorporate with the e-waste recycling partner selection problem. Moreover, a brief comparison of the proposed with is presented with various existing techniques to manifest the productivity and coherence of the proposed model. Finally, the accuracy and consistency of results shows that the proposed technique is fully compatible and applicable to handle any MADM problem.

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Section: Literature Reviewmentioning

confidence: 99%

Multi-attribute decision-making for electronic waste recycling using interval-valued Fermatean fuzzy Hamacher aggregation operators

Luqman

Shahzadi

2023

Granul. Comput.

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“…Some other AOs for FFSs and IVFFSs are studied in [24,25]. Based on Einstein operations, Kamacı et al [26]…”

Section: Einstein Aosmentioning

confidence: 99%

A case study of electronic waste recycling using interval-valued Fermatean fuzzy Hamacher aggregation operators

Luqman

Shahzadi²

2022

Preprint

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The utilization of electrical and electronics equipments (EEEs) in waste recycling has become a paramount for various countries. The waste electrical and electronics equipment (WEEE) recy-clers own a crucial position in the environmental growth of a country as they help to minimize the carbon emissions during the recycling of WEEE in most ecofriendly way. Therefore, the selection and assessment of an appropriate WEEE recycling partner has become a most important part of DM (decision-making) applications. The collusion of numerous quantitative and qualitative factors makes the recycling partner selection problem, a multifaced and significant decision for the managerial experts. The main objective of this work is to propose MADM (multi-attribute decision-making) techniques to evaluate the WEEE recycling partners under interval-valued Fermatean fuzzy (IVFF) information. In this regard, certain Hamacher AOs (aggregation operators) are proposed in order to develop the required DM method. These AOs include Hamacher ordered, weighted geometric, ordered weighted geometric, generalized Einstein weighted, generalized Einstein ordered weighted, generalized Einstein weighted geometric, etc. Then, these averaging operators are utilized to come up with a MADM techniques under IVFF environment. Furthermore, the constructed technique is applied to a case study in China in order to incorporate with the e-waste recycling partner selection problem. Moreover, a brief comparison of the proposed with is presented with various existing techniques to manifest the productivity and coherence of the proposed model. Finally, the accuracy and consistency of results shows that the proposed technique is fully compatible and applicable in order to handle any MADM problem.

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“…Many scholars have also extended and supplemented the aggregation operation, similarity measurement, and application scenarios of PFS, such as Mahmood [ 27 ] combined the PFS with hesitant fuzzy sets, and proposes some operators such as the picture hesitant fuzzy Bonferroni mean operator. Kamaci [ 28 ] proposed some dynamic aggregation operators and Einstein aggregation operators for interval-valued picture hesitant fuzzy sets, and applied them to multi-period decision-making problems. Khan [ 29 ] proposed a bi-parameter similarity and distance metric under the PFS environment and applied it in medical diagnosis.…”

Section: Introductionmentioning

confidence: 99%

Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application

Jian

Han

2023

Complex Intell. Syst.

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The purpose of this paper is to study the multi-attribute decision-making problem under the fuzzy picture environment. First, a method to compare the pros and cons of picture fuzzy numbers (PFNs) is introduced in this paper. Second, the correlation coefficient and standard deviation (CCSD) method is used to determine the attribute weight information under the picture fuzzy environment regardless of whether the attribute weight information is partially unknown or completely unknown. Third, the ARAS and VIKOR methods are extended to the picture fuzzy environment, and the proposed PFNs comparison rules are also applied in the PFS-ARAS and PFS-VIKOR methods. Fourth, the problem of green supplier selection in a picture-ambiguous environment is solved by the method proposed in this paper. Finally, the method proposed in this paper is compared with some methods and the results are analyzed.

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Dynamic aggregation operators and Einstein operations based on interval-valued picture hesitant fuzzy information and their applications in multi-period decision making

Cited by 40 publications

References 46 publications

Multi-attribute decision-making for electronic waste recycling using interval-valued Fermatean fuzzy Hamacher aggregation operators

Multi-attribute decision-making for electronic waste recycling using interval-valued Fermatean fuzzy Hamacher aggregation operators

A case study of electronic waste recycling using interval-valued Fermatean fuzzy Hamacher aggregation operators

Picture fuzzy Additive Ratio Assessment Method (ARAS) and VIseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method for multi-attribute decision problem and their application

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