Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making
There are many practical decision-making problems in people’s lives, but the information given by decision makers (DMs) is often unclear and how to describe this information is of critical importance. Therefore, we introduce interval neutrosophic linguistic numbers (INLNs) to represent the...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-04-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/10/4/127 |
| _version_ | 1798043183060353024 |
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| author | Yushui Geng Xingang Wang Xuemei Li Kun Yu Peide Liu |
| author_facet | Yushui Geng Xingang Wang Xuemei Li Kun Yu Peide Liu |
| author_sort | Yushui Geng |
| collection | DOAJ |
| description | There are many practical decision-making problems in people’s lives, but the information given by decision makers (DMs) is often unclear and how to describe this information is of critical importance. Therefore, we introduce interval neutrosophic linguistic numbers (INLNs) to represent the less clear and uncertain information and give their operational rules and comparison methods. In addition, since the Maclaurin symmetric mean (MSM) operator has the special characteristic of capturing the interrelationships among multi-input arguments, we further propose an MSM operator for INLNs (INLMSM). Furthermore, considering the weights of attributes are the important parameters and they can influence the decision results, we also propose a weighted INLMSM (WINLMSM) operator. Based on the WINLMSM operator, we develop a multiple attribute decision making (MADM) method with INLNs and some examples are used to show the procedure and effectiveness of the proposed method. Compared with the existing methods, the proposed method is more convenient to express the complex and unclear information. At the same time, it is more scientific and flexible in solving the MADM problems by considering the interrelationships among multi-attributes. |
| first_indexed | 2024-04-11T22:45:57Z |
| format | Article |
| id | doaj.art-1da24b02d7e14b7bb9c971a85675d20b |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T22:45:57Z |
| publishDate | 2018-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-1da24b02d7e14b7bb9c971a85675d20b2022-12-22T03:58:45ZengMDPI AGSymmetry2073-89942018-04-0110412710.3390/sym10040127sym10040127Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision MakingYushui Geng0Xingang Wang1Xuemei Li2Kun Yu3Peide Liu4Graduate School, Qilu University of Technology, Jinan 250353, ChinaSchool of Information, Qilu University of Technology, Jinan 250353, ChinaSchool of Information, Qilu University of Technology, Jinan 250353, ChinaSchool of Information, Qilu University of Technology, Jinan 250353, ChinaSchool of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250353, ChinaThere are many practical decision-making problems in people’s lives, but the information given by decision makers (DMs) is often unclear and how to describe this information is of critical importance. Therefore, we introduce interval neutrosophic linguistic numbers (INLNs) to represent the less clear and uncertain information and give their operational rules and comparison methods. In addition, since the Maclaurin symmetric mean (MSM) operator has the special characteristic of capturing the interrelationships among multi-input arguments, we further propose an MSM operator for INLNs (INLMSM). Furthermore, considering the weights of attributes are the important parameters and they can influence the decision results, we also propose a weighted INLMSM (WINLMSM) operator. Based on the WINLMSM operator, we develop a multiple attribute decision making (MADM) method with INLNs and some examples are used to show the procedure and effectiveness of the proposed method. Compared with the existing methods, the proposed method is more convenient to express the complex and unclear information. At the same time, it is more scientific and flexible in solving the MADM problems by considering the interrelationships among multi-attributes.http://www.mdpi.com/2073-8994/10/4/127multiple attribute decision making (MADM)neutrosophic numberMaclaurin symmetric meanlinguistic variables |
| spellingShingle | Yushui Geng Xingang Wang Xuemei Li Kun Yu Peide Liu Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making Symmetry multiple attribute decision making (MADM) neutrosophic number Maclaurin symmetric mean linguistic variables |
| title | Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making |
| title_full | Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making |
| title_fullStr | Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making |
| title_full_unstemmed | Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making |
| title_short | Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making |
| title_sort | some interval neutrosophic linguistic maclaurin symmetric mean operators and their application in multiple attribute decision making |
| topic | multiple attribute decision making (MADM) neutrosophic number Maclaurin symmetric mean linguistic variables |
| url | http://www.mdpi.com/2073-8994/10/4/127 |
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