Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy Information
As a generalization of both single-valued neutrosophic element and hesitant fuzzy element, single-valued neutrosophic hesitant fuzzy element (SVNHFE) is an efficient tool for describing uncertain and imprecise information. Thus, it is of great significance to deal with single-valued neutrosophic hes...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5580761 |
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| author | Li Wang Yan-Ling Bao |
| author_facet | Li Wang Yan-Ling Bao |
| author_sort | Li Wang |
| collection | DOAJ |
| description | As a generalization of both single-valued neutrosophic element and hesitant fuzzy element, single-valued neutrosophic hesitant fuzzy element (SVNHFE) is an efficient tool for describing uncertain and imprecise information. Thus, it is of great significance to deal with single-valued neutrosophic hesitant fuzzy information for many practical problems. In this paper, we study the aggregation of SVNHFEs based on some normalized operations from geometric viewpoint. Firstly, two normalized operations are defined for processing SVNHFEs. Then, a series of normalized aggregation operators which fulfill some basic conditions of a valid aggregation operator are proposed. Additionally, a decision-making method is developed for resolving multiattribute decision-making problems based on the proposed operators. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the method. |
| format | Article |
| id | doaj-art-43043f339679411992ed8689991546fc |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-43043f339679411992ed8689991546fc2025-02-03T00:58:58ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55807615580761Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy InformationLi Wang0Yan-Ling Bao1College of Mathematics and System Sciences, Xinjiang University, 830046 Urumqi, ChinaCollege of Mathematics and System Sciences, Xinjiang University, 830046 Urumqi, ChinaAs a generalization of both single-valued neutrosophic element and hesitant fuzzy element, single-valued neutrosophic hesitant fuzzy element (SVNHFE) is an efficient tool for describing uncertain and imprecise information. Thus, it is of great significance to deal with single-valued neutrosophic hesitant fuzzy information for many practical problems. In this paper, we study the aggregation of SVNHFEs based on some normalized operations from geometric viewpoint. Firstly, two normalized operations are defined for processing SVNHFEs. Then, a series of normalized aggregation operators which fulfill some basic conditions of a valid aggregation operator are proposed. Additionally, a decision-making method is developed for resolving multiattribute decision-making problems based on the proposed operators. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the method.http://dx.doi.org/10.1155/2021/5580761 |
| spellingShingle | Li Wang Yan-Ling Bao Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy Information Complexity |
| title | Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy Information |
| title_full | Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy Information |
| title_fullStr | Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy Information |
| title_full_unstemmed | Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy Information |
| title_short | Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy Information |
| title_sort | multiple attribute decision making method based on normalized geometric aggregation operators of single valued neutrosophic hesitant fuzzy information |
| url | http://dx.doi.org/10.1155/2021/5580761 |
| work_keys_str_mv | AT liwang multipleattributedecisionmakingmethodbasedonnormalizedgeometricaggregationoperatorsofsinglevaluedneutrosophichesitantfuzzyinformation AT yanlingbao multipleattributedecisionmakingmethodbasedonnormalizedgeometricaggregationoperatorsofsinglevaluedneutrosophichesitantfuzzyinformation |