NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment
A single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations. In order to d...
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MDPI AG
2018-02-01
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| Series: | Information |
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| Online Access: | http://www.mdpi.com/2078-2489/9/2/37 |
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| author | Surapati Pramanik Shyamal Dalapati Shariful Alam Florentin Smarandache Tapan Kumar Roy |
| author_facet | Surapati Pramanik Shyamal Dalapati Shariful Alam Florentin Smarandache Tapan Kumar Roy |
| author_sort | Surapati Pramanik |
| collection | DOAJ |
| description | A single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations. In order to deal with these disadvantages, we propose a new cross entropy measure under a single-valued neutrosophic set (SVNS) environment, namely NS-cross entropy, and prove its basic properties. Also we define weighted NS-cross entropy measure and investigate its basic properties. We develop a novel multi-attribute group decision-making (MAGDM) strategy that is free from the drawback of asymmetrical behavior and undefined phenomena. It is capable of dealing with an unknown weight of attributes and an unknown weight of decision-makers. Finally, a numerical example of multi-attribute group decision-making problem of investment potential is solved to show the feasibility, validity and efficiency of the proposed decision-making strategy. |
| first_indexed | 2024-12-11T05:34:03Z |
| format | Article |
| id | doaj.art-43f13bd4372445fa8215bf3592aa92ed |
| institution | Directory Open Access Journal |
| issn | 2078-2489 |
| language | English |
| last_indexed | 2024-12-11T05:34:03Z |
| publishDate | 2018-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Information |
| spelling | doaj.art-43f13bd4372445fa8215bf3592aa92ed2022-12-22T01:19:20ZengMDPI AGInformation2078-24892018-02-01923710.3390/info9020037info9020037NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set EnvironmentSurapati Pramanik0Shyamal Dalapati1Shariful Alam2Florentin Smarandache3Tapan Kumar Roy4Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, P.O.-Narayanpur, District–North 24 Parganas, Bhatpara 743126, West Bengal, IndiaDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, P.O.-Botanic Garden, Howrah 711103, West Bengal, IndiaDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, P.O.-Botanic Garden, Howrah 711103, West Bengal, IndiaDepartment of Mathematics & Science, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USADepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, P.O.-Botanic Garden, Howrah 711103, West Bengal, IndiaA single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations. In order to deal with these disadvantages, we propose a new cross entropy measure under a single-valued neutrosophic set (SVNS) environment, namely NS-cross entropy, and prove its basic properties. Also we define weighted NS-cross entropy measure and investigate its basic properties. We develop a novel multi-attribute group decision-making (MAGDM) strategy that is free from the drawback of asymmetrical behavior and undefined phenomena. It is capable of dealing with an unknown weight of attributes and an unknown weight of decision-makers. Finally, a numerical example of multi-attribute group decision-making problem of investment potential is solved to show the feasibility, validity and efficiency of the proposed decision-making strategy.http://www.mdpi.com/2078-2489/9/2/37neutrosophic setsingle-valued neutrosophic setNS-cross entropy measuremulti-attribute group decision-making |
| spellingShingle | Surapati Pramanik Shyamal Dalapati Shariful Alam Florentin Smarandache Tapan Kumar Roy NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment Information neutrosophic set single-valued neutrosophic set NS-cross entropy measure multi-attribute group decision-making |
| title | NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment |
| title_full | NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment |
| title_fullStr | NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment |
| title_full_unstemmed | NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment |
| title_short | NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment |
| title_sort | ns cross entropy based magdm under single valued neutrosophic set environment |
| topic | neutrosophic set single-valued neutrosophic set NS-cross entropy measure multi-attribute group decision-making |
| url | http://www.mdpi.com/2078-2489/9/2/37 |
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