Interval-valued probabilistic hesitant fuzzy set for multi-criteria group decision-making.
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| Title: | Interval-valued probabilistic hesitant fuzzy set for multi-criteria group decision-making. |
|---|---|
| Authors: | Krishankumar, R.1 (AUTHOR), Ravichandran, K. S.1 (AUTHOR), Kar, Samarjit2 (AUTHOR) dr.samarjitkar@gmail.com, Gupta, Pankaj3 (AUTHOR), Mehlawat, Mukesh Kumar3 (AUTHOR) |
| Source: | Soft Computing - A Fusion of Foundations, Methodologies & Applications. Nov2019, Vol. 23 Issue 21, p10853-10879. 27p. |
| Subjects: | Group decision making, Fuzzy sets, Aggregation operators, Probability theory, Geometry |
| Abstract: | As a powerful extension to fuzzy set, hesitant fuzzy set (HFS) attracted many scholars in the recent times. The HFS had the ability to accept multiple membership values for a specific instance, which helped in handling uncertainty to a certain extent. However, the previous studies on the hesitant fuzzy theory consider only single occurring probability value for each element which is problematic for decision-makers (DMs) to associate an accurate occurring probability with each element. To alleviate this issue, in this paper, a new concept called interval-valued probabilistic hesitant fuzzy set (IVPHFS) is proposed. Some desirable properties of IVPHFS are also investigated. Further, a new aggregation operator called simple interval-valued probabilistic hesitant fuzzy weighted geometry (SIVPHFWG) is presented and some interesting properties are discussed. Following this, a new extension of statistical variance (SV) is put forward under IVPHFS for calculating the weights of each criterion. A new extension to the popular VIKOR (VlseKriterijumskaOptimizacijaKompromisnoResenje) method is also presented under IVPHFS for ranking objects. The practicality of the proposed decision framework is analyzed by presenting two illustrative examples, viz., supplier selection problem and smartphone selection problem. Finally, the strength and weakness of the proposed decision framework are realized by comparison with other methods. [ABSTRACT FROM AUTHOR] |
| Copyright of Soft Computing - A Fusion of Foundations, Methodologies & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 139057118 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Interval-valued probabilistic hesitant fuzzy set for multi-criteria group decision-making. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Krishankumar%2C+R%2E%22">Krishankumar, R.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ravichandran%2C+K%2E+S%2E%22">Ravichandran, K. S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kar%2C+Samarjit%22">Kar, Samarjit</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> dr.samarjitkar@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Gupta%2C+Pankaj%22">Gupta, Pankaj</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mehlawat%2C+Mukesh+Kumar%22">Mehlawat, Mukesh Kumar</searchLink><relatesTo>3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Soft+Computing+-+A+Fusion+of+Foundations%2C+Methodologies+%26+Applications%22">Soft Computing - A Fusion of Foundations, Methodologies & Applications</searchLink>. Nov2019, Vol. 23 Issue 21, p10853-10879. 27p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Group+decision+making%22">Group decision making</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink><br /><searchLink fieldCode="DE" term="%22Aggregation+operators%22">Aggregation operators</searchLink><br /><searchLink fieldCode="DE" term="%22Probability+theory%22">Probability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%22">Geometry</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: As a powerful extension to fuzzy set, hesitant fuzzy set (HFS) attracted many scholars in the recent times. The HFS had the ability to accept multiple membership values for a specific instance, which helped in handling uncertainty to a certain extent. However, the previous studies on the hesitant fuzzy theory consider only single occurring probability value for each element which is problematic for decision-makers (DMs) to associate an accurate occurring probability with each element. To alleviate this issue, in this paper, a new concept called interval-valued probabilistic hesitant fuzzy set (IVPHFS) is proposed. Some desirable properties of IVPHFS are also investigated. Further, a new aggregation operator called simple interval-valued probabilistic hesitant fuzzy weighted geometry (SIVPHFWG) is presented and some interesting properties are discussed. Following this, a new extension of statistical variance (SV) is put forward under IVPHFS for calculating the weights of each criterion. A new extension to the popular VIKOR (VlseKriterijumskaOptimizacijaKompromisnoResenje) method is also presented under IVPHFS for ranking objects. The practicality of the proposed decision framework is analyzed by presenting two illustrative examples, viz., supplier selection problem and smartphone selection problem. Finally, the strength and weakness of the proposed decision framework are realized by comparison with other methods. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Soft Computing - A Fusion of Foundations, Methodologies & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00500-018-3638-3 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 27 StartPage: 10853 Subjects: – SubjectFull: Group decision making Type: general – SubjectFull: Fuzzy sets Type: general – SubjectFull: Aggregation operators Type: general – SubjectFull: Probability theory Type: general – SubjectFull: Geometry Type: general Titles: – TitleFull: Interval-valued probabilistic hesitant fuzzy set for multi-criteria group decision-making. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Krishankumar, R. – PersonEntity: Name: NameFull: Ravichandran, K. S. – PersonEntity: Name: NameFull: Kar, Samarjit – PersonEntity: Name: NameFull: Gupta, Pankaj – PersonEntity: Name: NameFull: Mehlawat, Mukesh Kumar IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: Nov2019 Type: published Y: 2019 Identifiers: – Type: issn-print Value: 14327643 Numbering: – Type: volume Value: 23 – Type: issue Value: 21 Titles: – TitleFull: Soft Computing - A Fusion of Foundations, Methodologies & Applications Type: main |
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