Fuzzy Rough Graph Theory with Applications
Fuzzy rough set theory is a hybrid method that deals with vagueness and uncertainty emphasized in decision-making. In this research study, we apply the concept of fuzzy rough sets to graphs. We introduce the notion of fuzzy rough digraphs and describe some of their methods of construction. In partic...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2018-11-01
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| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25905184/view |
| _version_ | 1811252401688018944 |
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| author | Muhammad Akram Maham Arshad Shumaiza |
| author_facet | Muhammad Akram Maham Arshad Shumaiza |
| author_sort | Muhammad Akram |
| collection | DOAJ |
| description | Fuzzy rough set theory is a hybrid method that deals with vagueness and uncertainty emphasized in decision-making. In this research study, we apply the concept of fuzzy rough sets to graphs. We introduce the notion of fuzzy rough digraphs and describe some of their methods of construction. In particular, we consider applications of fuzzy rough digraphs. We also present algorithms to solve decision-making problems regarding selection of a city for treatment and identification of best location in a department to set mobile phone Jammer. |
| first_indexed | 2024-04-12T16:34:10Z |
| format | Article |
| id | doaj.art-c4cbb5e8cc72453ab7b6959e5b69e9b5 |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-12T16:34:10Z |
| publishDate | 2018-11-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-c4cbb5e8cc72453ab7b6959e5b69e9b52022-12-22T03:25:03ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832018-11-0112110.2991/ijcis.2018.25905184Fuzzy Rough Graph Theory with ApplicationsMuhammad AkramMaham ArshadShumaizaFuzzy rough set theory is a hybrid method that deals with vagueness and uncertainty emphasized in decision-making. In this research study, we apply the concept of fuzzy rough sets to graphs. We introduce the notion of fuzzy rough digraphs and describe some of their methods of construction. In particular, we consider applications of fuzzy rough digraphs. We also present algorithms to solve decision-making problems regarding selection of a city for treatment and identification of best location in a department to set mobile phone Jammer.https://www.atlantis-press.com/article/25905184/viewFuzzy rough relationFuzzy rough digraphsDecision- making |
| spellingShingle | Muhammad Akram Maham Arshad Shumaiza Fuzzy Rough Graph Theory with Applications International Journal of Computational Intelligence Systems Fuzzy rough relation Fuzzy rough digraphs Decision- making |
| title | Fuzzy Rough Graph Theory with Applications |
| title_full | Fuzzy Rough Graph Theory with Applications |
| title_fullStr | Fuzzy Rough Graph Theory with Applications |
| title_full_unstemmed | Fuzzy Rough Graph Theory with Applications |
| title_short | Fuzzy Rough Graph Theory with Applications |
| title_sort | fuzzy rough graph theory with applications |
| topic | Fuzzy rough relation Fuzzy rough digraphs Decision- making |
| url | https://www.atlantis-press.com/article/25905184/view |
| work_keys_str_mv | AT muhammadakram fuzzyroughgraphtheorywithapplications AT mahamarshad fuzzyroughgraphtheorywithapplications AT shumaiza fuzzyroughgraphtheorywithapplications |