A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator
A multi-criteria decision-making (MCDM) method with single-valued neutrosophic information is developed based on the Partitioned Heronian Mean (PHM) operator and the Shapley fuzzy measure, which recognizes correlation among the selection criteria. Motivated by the PHM operator and Shapley fuzzy meas...
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| Format: | Article |
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MDPI AG
2020-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/7/1189 |
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| author | Chao Tian Juan Juan Peng Zhi Qiang Zhang Mark Goh Jian Qiang Wang |
| author_facet | Chao Tian Juan Juan Peng Zhi Qiang Zhang Mark Goh Jian Qiang Wang |
| author_sort | Chao Tian |
| collection | DOAJ |
| description | A multi-criteria decision-making (MCDM) method with single-valued neutrosophic information is developed based on the Partitioned Heronian Mean (PHM) operator and the Shapley fuzzy measure, which recognizes correlation among the selection criteria. Motivated by the PHM operator and Shapley fuzzy measure, two new aggregation operators, namely the single-valued neutrosophic PHM operator and the weighted single-valued neutrosophic Shapley PHM operator, are defined, and their corresponding properties and some special cases are investigated. An MCDM model is applied to solve the single-valued neutrosophic problem where weight information is not completely known. An example is provided to validate the proposed method. |
| first_indexed | 2024-03-10T18:20:58Z |
| format | Article |
| id | doaj.art-940ba30ed74a4a78be9f1112db0ac4e9 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:20:58Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-940ba30ed74a4a78be9f1112db0ac4e92023-11-20T07:18:31ZengMDPI AGMathematics2227-73902020-07-0187118910.3390/math8071189A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean OperatorChao Tian0Juan Juan Peng1Zhi Qiang Zhang2Mark Goh3Jian Qiang Wang4School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, ChinaSchool of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, ChinaSchool of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, ChinaNUS School of Business, National University of Singapore, Singapore 117592, SingaporeSchool of Business, Central South University, Changsha 410083, ChinaA multi-criteria decision-making (MCDM) method with single-valued neutrosophic information is developed based on the Partitioned Heronian Mean (PHM) operator and the Shapley fuzzy measure, which recognizes correlation among the selection criteria. Motivated by the PHM operator and Shapley fuzzy measure, two new aggregation operators, namely the single-valued neutrosophic PHM operator and the weighted single-valued neutrosophic Shapley PHM operator, are defined, and their corresponding properties and some special cases are investigated. An MCDM model is applied to solve the single-valued neutrosophic problem where weight information is not completely known. An example is provided to validate the proposed method.https://www.mdpi.com/2227-7390/8/7/1189single-valued neutrosophic setsMCDMpartitioned heronian meanshapley fuzzy measure |
| spellingShingle | Chao Tian Juan Juan Peng Zhi Qiang Zhang Mark Goh Jian Qiang Wang A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator Mathematics single-valued neutrosophic sets MCDM partitioned heronian mean shapley fuzzy measure |
| title | A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator |
| title_full | A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator |
| title_fullStr | A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator |
| title_full_unstemmed | A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator |
| title_short | A Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Partitioned Heronian Mean Operator |
| title_sort | multi criteria decision making method based on single valued neutrosophic partitioned heronian mean operator |
| topic | single-valued neutrosophic sets MCDM partitioned heronian mean shapley fuzzy measure |
| url | https://www.mdpi.com/2227-7390/8/7/1189 |
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