Bijective soft rings with applications
In recent years, soft sets have been widely used in many important decision-making real-life problems. In this paper, observing the usage of soft sets in such kind of vital problems, we have introduced the bijective-unitary bijective soft rings. Firstly, we have defined and exemplified a bijective s...
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| Format: | Article |
| Language: | English |
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Tokat Gaziosmanpasa University
2024-04-01
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| Series: | Journal of New Results in Science |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/3845527 |
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| _version_ | 1849338713036816384 |
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| author | Fatih Koyuncu |
| author_facet | Fatih Koyuncu |
| author_sort | Fatih Koyuncu |
| collection | DOAJ |
| description | In recent years, soft sets have been widely used in many important decision-making real-life problems. In this paper, observing the usage of soft sets in such kind of vital problems, we have introduced the bijective-unitary bijective soft rings. Firstly, we have defined and exemplified a bijective soft ring and a unitary bijective soft ring. Moreover, we have presented some applications of bijective soft rings. We have shown the usage of bijective soft rings in coding theory. In this context, we have observed that by obtaining a bijective soft ring over a finite ring, we have a coding matrix to encode a given set of messages. Besides these applicable results, we have also obtained some relations between bijective soft and classical rings. |
| format | Article |
| id | doaj-art-bb73c8bf80bd48d4ad84b33f5704df55 |
| institution | Kabale University |
| issn | 1304-7981 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | Tokat Gaziosmanpasa University |
| record_format | Article |
| series | Journal of New Results in Science |
| spelling | doaj-art-bb73c8bf80bd48d4ad84b33f5704df552025-08-20T03:44:19ZengTokat Gaziosmanpasa UniversityJournal of New Results in Science1304-79812024-04-01131476010.54187/jnrs.1464556142Bijective soft rings with applicationsFatih Koyuncu0https://orcid.org/0000-0001-6351-4787ANKARA YILDIRIM BEYAZIT ÜNİVERSİTESİIn recent years, soft sets have been widely used in many important decision-making real-life problems. In this paper, observing the usage of soft sets in such kind of vital problems, we have introduced the bijective-unitary bijective soft rings. Firstly, we have defined and exemplified a bijective soft ring and a unitary bijective soft ring. Moreover, we have presented some applications of bijective soft rings. We have shown the usage of bijective soft rings in coding theory. In this context, we have observed that by obtaining a bijective soft ring over a finite ring, we have a coding matrix to encode a given set of messages. Besides these applicable results, we have also obtained some relations between bijective soft and classical rings.https://dergipark.org.tr/en/download/article-file/3845527soft setssoft ringsbijective soft setsbijective soft ringsunitary bijective soft rings |
| spellingShingle | Fatih Koyuncu Bijective soft rings with applications Journal of New Results in Science soft sets soft rings bijective soft sets bijective soft rings unitary bijective soft rings |
| title | Bijective soft rings with applications |
| title_full | Bijective soft rings with applications |
| title_fullStr | Bijective soft rings with applications |
| title_full_unstemmed | Bijective soft rings with applications |
| title_short | Bijective soft rings with applications |
| title_sort | bijective soft rings with applications |
| topic | soft sets soft rings bijective soft sets bijective soft rings unitary bijective soft rings |
| url | https://dergipark.org.tr/en/download/article-file/3845527 |
| work_keys_str_mv | AT fatihkoyuncu bijectivesoftringswithapplications |