Soft pre-rough sets and its applications in decision making
Soft rough set model represents a different mathematical model to which many real-life data can be connected. In fact, this theory represents a link between soft set and rough set theories. The main goal of the present paper is to introduce a new approach to modify and generalize soft rough sets. We...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-09-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2020321?viewType=HTML |
| _version_ | 1818729528743165952 |
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| author | M. El Sayed Abdul Gawad A. Q. Al Qubati M. K. El-Bably |
| author_facet | M. El Sayed Abdul Gawad A. Q. Al Qubati M. K. El-Bably |
| author_sort | M. El Sayed |
| collection | DOAJ |
| description | Soft rough set model represents a different mathematical model to which many real-life data can be connected. In fact, this theory represents a link between soft set and rough set theories. The main goal of the present paper is to introduce a new approach to modify and generalize soft rough sets. We are discussing and exploring the basic properties for these approaches. In addition, we use the suggested approaches as a mathematical modeling for an uncertain data and deal with the ambiguity. Comparisons among the proposed methods and the previous one are obtained. Finally, a medical application of the suggested approximations in decision making of diagnosis of COVID-19 is illustrated. Moreover, we develop an algorithm following these concepts and apply it to a decision making problem to demonstrate the applicability of the proposed methods. |
| first_indexed | 2024-12-17T22:47:20Z |
| format | Article |
| id | doaj.art-fa8b40d4da5b457daa47d4cc8552da6b |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-17T22:47:20Z |
| publishDate | 2020-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-fa8b40d4da5b457daa47d4cc8552da6b2022-12-21T21:29:46ZengAIMS PressMathematical Biosciences and Engineering1551-00182020-09-011756045606310.3934/mbe.2020321Soft pre-rough sets and its applications in decision makingM. El Sayed 0Abdul Gawad A. Q. Al Qubati1M. K. El-Bably21. Department of Mathematics, College of Science and Arts, Najran University, Kingdom of Saudi Arabia 2. Department of Mathematics, Faculty of Science, Tanta University, Egypt1. Department of Mathematics, College of Science and Arts, Najran University, Kingdom of Saudi Arabia2. Department of Mathematics, Faculty of Science, Tanta University, EgyptSoft rough set model represents a different mathematical model to which many real-life data can be connected. In fact, this theory represents a link between soft set and rough set theories. The main goal of the present paper is to introduce a new approach to modify and generalize soft rough sets. We are discussing and exploring the basic properties for these approaches. In addition, we use the suggested approaches as a mathematical modeling for an uncertain data and deal with the ambiguity. Comparisons among the proposed methods and the previous one are obtained. Finally, a medical application of the suggested approximations in decision making of diagnosis of COVID-19 is illustrated. Moreover, we develop an algorithm following these concepts and apply it to a decision making problem to demonstrate the applicability of the proposed methods.https://www.aimspress.com/article/doi/10.3934/mbe.2020321?viewType=HTMLsoft setssoft rough setssoft pre-rough setsdecision making |
| spellingShingle | M. El Sayed Abdul Gawad A. Q. Al Qubati M. K. El-Bably Soft pre-rough sets and its applications in decision making Mathematical Biosciences and Engineering soft sets soft rough sets soft pre-rough sets decision making |
| title | Soft pre-rough sets and its applications in decision making |
| title_full | Soft pre-rough sets and its applications in decision making |
| title_fullStr | Soft pre-rough sets and its applications in decision making |
| title_full_unstemmed | Soft pre-rough sets and its applications in decision making |
| title_short | Soft pre-rough sets and its applications in decision making |
| title_sort | soft pre rough sets and its applications in decision making |
| topic | soft sets soft rough sets soft pre-rough sets decision making |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2020321?viewType=HTML |
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