Dual Generalized Nonnegative Normal Neutrosophic Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making
For multiple attribute decision making, ranking and information aggregation problems are increasingly receiving attention. In a normal neutrosophic number, the ranking method does not satisfy the ranking principle. Moreover, the proposed operators do not take into account the correlation between any...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-08-01
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| Series: | Information |
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| Online Access: | http://www.mdpi.com/2078-2489/9/8/201 |
| _version_ | 1818442219205427200 |
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| author | Jiongmei Mo Han-Liang Huang |
| author_facet | Jiongmei Mo Han-Liang Huang |
| author_sort | Jiongmei Mo |
| collection | DOAJ |
| description | For multiple attribute decision making, ranking and information aggregation problems are increasingly receiving attention. In a normal neutrosophic number, the ranking method does not satisfy the ranking principle. Moreover, the proposed operators do not take into account the correlation between any aggregation arguments. In order to overcome the deficiencies of the existing ranking method, based on the nonnegative normal neutrosophic number, this paper redefines the score function, the accuracy function, and partial operational laws. Considering the correlation between any aggregation arguments, the dual generalized nonnegative normal neutrosophic weighted Bonferroni mean operator and dual generalized nonnegative normal neutrosophic weighted geometric Bonferroni mean operator were investigated, and their properties are presented. Here, these two operators are applied to deal with a multiple attribute decision making problem. Example results show that the proposed method is effective and superior. |
| first_indexed | 2024-12-14T18:40:40Z |
| format | Article |
| id | doaj.art-166f63f298184b369f3b777fd5962bbf |
| institution | Directory Open Access Journal |
| issn | 2078-2489 |
| language | English |
| last_indexed | 2024-12-14T18:40:40Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
| record_format | Article |
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| spelling | doaj.art-166f63f298184b369f3b777fd5962bbf2022-12-21T22:51:31ZengMDPI AGInformation2078-24892018-08-019820110.3390/info9080201info9080201Dual Generalized Nonnegative Normal Neutrosophic Bonferroni Mean Operators and Their Application in Multiple Attribute Decision MakingJiongmei Mo0Han-Liang Huang1School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, Fujian, ChinaSchool of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, Fujian, ChinaFor multiple attribute decision making, ranking and information aggregation problems are increasingly receiving attention. In a normal neutrosophic number, the ranking method does not satisfy the ranking principle. Moreover, the proposed operators do not take into account the correlation between any aggregation arguments. In order to overcome the deficiencies of the existing ranking method, based on the nonnegative normal neutrosophic number, this paper redefines the score function, the accuracy function, and partial operational laws. Considering the correlation between any aggregation arguments, the dual generalized nonnegative normal neutrosophic weighted Bonferroni mean operator and dual generalized nonnegative normal neutrosophic weighted geometric Bonferroni mean operator were investigated, and their properties are presented. Here, these two operators are applied to deal with a multiple attribute decision making problem. Example results show that the proposed method is effective and superior.http://www.mdpi.com/2078-2489/9/8/201multiple attribute decision makingnonnegative normal neutrosophic numberaggregation operator |
| spellingShingle | Jiongmei Mo Han-Liang Huang Dual Generalized Nonnegative Normal Neutrosophic Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making Information multiple attribute decision making nonnegative normal neutrosophic number aggregation operator |
| title | Dual Generalized Nonnegative Normal Neutrosophic Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making |
| title_full | Dual Generalized Nonnegative Normal Neutrosophic Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making |
| title_fullStr | Dual Generalized Nonnegative Normal Neutrosophic Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making |
| title_full_unstemmed | Dual Generalized Nonnegative Normal Neutrosophic Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making |
| title_short | Dual Generalized Nonnegative Normal Neutrosophic Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making |
| title_sort | dual generalized nonnegative normal neutrosophic bonferroni mean operators and their application in multiple attribute decision making |
| topic | multiple attribute decision making nonnegative normal neutrosophic number aggregation operator |
| url | http://www.mdpi.com/2078-2489/9/8/201 |
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