Decision-Making Approach Based on Neutrosophic Rough Information
Rough set theory and neutrosophic set theory are mathematical models to deal with incomplete and vague information. These two theories can be combined into a framework for modeling and processing incomplete information in information systems. Thus, the neutrosophic rough set hybrid model gives more...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-05-01
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| Series: | Algorithms |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1999-4893/11/5/59 |
| _version_ | 1819089702533201920 |
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| author | Muhammad Akram Nabeela Ishfaq Sidra Sayed Florentin Smarandache |
| author_facet | Muhammad Akram Nabeela Ishfaq Sidra Sayed Florentin Smarandache |
| author_sort | Muhammad Akram |
| collection | DOAJ |
| description | Rough set theory and neutrosophic set theory are mathematical models to deal with incomplete and vague information. These two theories can be combined into a framework for modeling and processing incomplete information in information systems. Thus, the neutrosophic rough set hybrid model gives more precision, flexibility and compatibility to the system as compared to the classic and fuzzy models. In this research study, we develop neutrosophic rough digraphs based on the neutrosophic rough hybrid model. Moreover, we discuss regular neutrosophic rough digraphs, and we solve decision-making problems by using our proposed hybrid model. Finally, we give a comparison analysis of two hybrid models, namely, neutrosophic rough digraphs and rough neutrosophic digraphs. |
| first_indexed | 2024-12-21T22:12:08Z |
| format | Article |
| id | doaj.art-a3fefad11c2142ab950b960fd6ba2ebd |
| institution | Directory Open Access Journal |
| issn | 1999-4893 |
| language | English |
| last_indexed | 2024-12-21T22:12:08Z |
| publishDate | 2018-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Algorithms |
| spelling | doaj.art-a3fefad11c2142ab950b960fd6ba2ebd2022-12-21T18:48:34ZengMDPI AGAlgorithms1999-48932018-05-011155910.3390/a11050059a11050059Decision-Making Approach Based on Neutrosophic Rough InformationMuhammad Akram0Nabeela Ishfaq1Sidra Sayed2Florentin Smarandache3Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanDepartment of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanDepartment of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanMathematics & Science Department, University of New Mexico, Gallup, NM 87301, USARough set theory and neutrosophic set theory are mathematical models to deal with incomplete and vague information. These two theories can be combined into a framework for modeling and processing incomplete information in information systems. Thus, the neutrosophic rough set hybrid model gives more precision, flexibility and compatibility to the system as compared to the classic and fuzzy models. In this research study, we develop neutrosophic rough digraphs based on the neutrosophic rough hybrid model. Moreover, we discuss regular neutrosophic rough digraphs, and we solve decision-making problems by using our proposed hybrid model. Finally, we give a comparison analysis of two hybrid models, namely, neutrosophic rough digraphs and rough neutrosophic digraphs.http://www.mdpi.com/1999-4893/11/5/59neutrosophic rough hybrid modelregular neutrosophic rough digraphsdecision-making method |
| spellingShingle | Muhammad Akram Nabeela Ishfaq Sidra Sayed Florentin Smarandache Decision-Making Approach Based on Neutrosophic Rough Information Algorithms neutrosophic rough hybrid model regular neutrosophic rough digraphs decision-making method |
| title | Decision-Making Approach Based on Neutrosophic Rough Information |
| title_full | Decision-Making Approach Based on Neutrosophic Rough Information |
| title_fullStr | Decision-Making Approach Based on Neutrosophic Rough Information |
| title_full_unstemmed | Decision-Making Approach Based on Neutrosophic Rough Information |
| title_short | Decision-Making Approach Based on Neutrosophic Rough Information |
| title_sort | decision making approach based on neutrosophic rough information |
| topic | neutrosophic rough hybrid model regular neutrosophic rough digraphs decision-making method |
| url | http://www.mdpi.com/1999-4893/11/5/59 |
| work_keys_str_mv | AT muhammadakram decisionmakingapproachbasedonneutrosophicroughinformation AT nabeelaishfaq decisionmakingapproachbasedonneutrosophicroughinformation AT sidrasayed decisionmakingapproachbasedonneutrosophicroughinformation AT florentinsmarandache decisionmakingapproachbasedonneutrosophicroughinformation |