An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation Operators
Using the strength of a single-valued neutrosophic set (SVNS) with the flexibility of a hesitant fuzzy set (HFS) yields a robust model named the single-valued neutrosophic hesitant fuzzy set (SVNHFS). Due to the ability to utilize three independent indexes (truthness, indeterminacy, and falsity), an...
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MDPI AG
2022-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/11/2271 |
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| author | Sania Batool Masooma Raza Hashmi Muhammad Riaz Florentin Smarandache Dragan Pamucar Dejan Spasic |
| author_facet | Sania Batool Masooma Raza Hashmi Muhammad Riaz Florentin Smarandache Dragan Pamucar Dejan Spasic |
| author_sort | Sania Batool |
| collection | DOAJ |
| description | Using the strength of a single-valued neutrosophic set (SVNS) with the flexibility of a hesitant fuzzy set (HFS) yields a robust model named the single-valued neutrosophic hesitant fuzzy set (SVNHFS). Due to the ability to utilize three independent indexes (truthness, indeterminacy, and falsity), an SVNHFS is an efficient model for optimization and computational intelligence (CI) as well as an intelligent decision support system (IDSS). Taking advantage of the flexibility of operational parameters in Dombi’s t-norm and t-conorm operations, new aggregation operators (AOs) are proposed, which are named the SVN fuzzy Dombi weighted averaging (SVNHFDWA) operator, SVN hesitant fuzzy Dombi ordered weighted averaging (SVNHFDOWA) operator, SVN hesitant fuzzy Dombi hybrid averaging (SVNHFDHWA) operator, SVN hesitant fuzzy Dombi weighted geometric (SVNHFDWG) operator, SVN hesitant fuzzy Dombi ordered weighted geometric (SVNHFDOWG) operator as well as SVN hesitant fuzzy Dombi hybrid weighted geometric (SVNHFDHWG) operator. The efficiency of these AOs is investigated in order to determine the best option using SVN hesitant fuzzy numbers (SVNHFNs) in an IDSS. Additionally, a practical application of SVNHFDWA and SVNHFDWG is also presented to examine symmetrical analysis in the selection of wireless charging station for vehicles. |
| first_indexed | 2024-03-09T18:36:09Z |
| format | Article |
| id | doaj.art-666cd646c054433cac8c64abbc0bce0c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T18:36:09Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-666cd646c054433cac8c64abbc0bce0c2023-11-24T07:07:36ZengMDPI AGSymmetry2073-89942022-10-011411227110.3390/sym14112271An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation OperatorsSania Batool0Masooma Raza Hashmi1Muhammad Riaz2Florentin Smarandache3Dragan Pamucar4Dejan Spasic5Department of mathematics, University of the Punjab, Lahore 54590, PakistanDepartment of mathematics, University of the Punjab, Lahore 54590, PakistanDepartment of mathematics, University of the Punjab, Lahore 54590, PakistanMathematics, Physical and Natural Sciences Division, University of New Mexico, Gallup Campus, Gallup, NM 87301, USADepartment of Operations Research and Statistics, Faculty of Organizational Sciences, University of Belgrade, 11000 Belgrade, SerbiaThe Faculty of Civil Aviation, Megatrend University, 11000 Belgrade, SerbiaUsing the strength of a single-valued neutrosophic set (SVNS) with the flexibility of a hesitant fuzzy set (HFS) yields a robust model named the single-valued neutrosophic hesitant fuzzy set (SVNHFS). Due to the ability to utilize three independent indexes (truthness, indeterminacy, and falsity), an SVNHFS is an efficient model for optimization and computational intelligence (CI) as well as an intelligent decision support system (IDSS). Taking advantage of the flexibility of operational parameters in Dombi’s t-norm and t-conorm operations, new aggregation operators (AOs) are proposed, which are named the SVN fuzzy Dombi weighted averaging (SVNHFDWA) operator, SVN hesitant fuzzy Dombi ordered weighted averaging (SVNHFDOWA) operator, SVN hesitant fuzzy Dombi hybrid averaging (SVNHFDHWA) operator, SVN hesitant fuzzy Dombi weighted geometric (SVNHFDWG) operator, SVN hesitant fuzzy Dombi ordered weighted geometric (SVNHFDOWG) operator as well as SVN hesitant fuzzy Dombi hybrid weighted geometric (SVNHFDHWG) operator. The efficiency of these AOs is investigated in order to determine the best option using SVN hesitant fuzzy numbers (SVNHFNs) in an IDSS. Additionally, a practical application of SVNHFDWA and SVNHFDWG is also presented to examine symmetrical analysis in the selection of wireless charging station for vehicles.https://www.mdpi.com/2073-8994/14/11/2271SVNHFSDombi operatorsintelligent decision support system |
| spellingShingle | Sania Batool Masooma Raza Hashmi Muhammad Riaz Florentin Smarandache Dragan Pamucar Dejan Spasic An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation Operators Symmetry SVNHFS Dombi operators intelligent decision support system |
| title | An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation Operators |
| title_full | An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation Operators |
| title_fullStr | An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation Operators |
| title_full_unstemmed | An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation Operators |
| title_short | An Optimization Approach with Single-Valued Neutrosophic Hesitant Fuzzy Dombi Aggregation Operators |
| title_sort | optimization approach with single valued neutrosophic hesitant fuzzy dombi aggregation operators |
| topic | SVNHFS Dombi operators intelligent decision support system |
| url | https://www.mdpi.com/2073-8994/14/11/2271 |
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