Intuitionistic fuzzy relations compatible with the group Z n
Abstract In this paper, we define the compatibility of finite intuitionistic fuzzy relations with the group Z n and prove some of their fundamental properties. We show that some compositions of Z n -compatible intuitionistic fuzzy relations are also Z n -compatible intuitionistic fuzzy relation. Als...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-12-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | https://doi.org/10.1186/s42787-019-0053-6 |
| _version_ | 1818610087234633728 |
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| author | E. G. Emam |
| author_facet | E. G. Emam |
| author_sort | E. G. Emam |
| collection | DOAJ |
| description | Abstract In this paper, we define the compatibility of finite intuitionistic fuzzy relations with the group Z n and prove some of their fundamental properties. We show that some compositions of Z n -compatible intuitionistic fuzzy relations are also Z n -compatible intuitionistic fuzzy relation. Also, from any given finite intuitionistic fuzzy relation ρ, we can construct two intuitionistic fuzzy relations denoted by ρ L and ρ U which are compatible with Z n . We have also provided some examples to clarify the notions and results. |
| first_indexed | 2024-12-16T15:08:51Z |
| format | Article |
| id | doaj.art-5fed1b95ff2448c88787f6872d3eb022 |
| institution | Directory Open Access Journal |
| issn | 2090-9128 |
| language | English |
| last_indexed | 2024-12-16T15:08:51Z |
| publishDate | 2019-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-5fed1b95ff2448c88787f6872d3eb0222022-12-21T22:27:02ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282019-12-0127111410.1186/s42787-019-0053-6Intuitionistic fuzzy relations compatible with the group Z nE. G. Emam0Department of Mathematics, Faculty of Science, Zagazig UniversityAbstract In this paper, we define the compatibility of finite intuitionistic fuzzy relations with the group Z n and prove some of their fundamental properties. We show that some compositions of Z n -compatible intuitionistic fuzzy relations are also Z n -compatible intuitionistic fuzzy relation. Also, from any given finite intuitionistic fuzzy relation ρ, we can construct two intuitionistic fuzzy relations denoted by ρ L and ρ U which are compatible with Z n . We have also provided some examples to clarify the notions and results.https://doi.org/10.1186/s42787-019-0053-6Intuitionistic fuzzy relationsFuzzy relationsCompatible fuzzy relations |
| spellingShingle | E. G. Emam Intuitionistic fuzzy relations compatible with the group Z n Journal of the Egyptian Mathematical Society Intuitionistic fuzzy relations Fuzzy relations Compatible fuzzy relations |
| title | Intuitionistic fuzzy relations compatible with the group Z n |
| title_full | Intuitionistic fuzzy relations compatible with the group Z n |
| title_fullStr | Intuitionistic fuzzy relations compatible with the group Z n |
| title_full_unstemmed | Intuitionistic fuzzy relations compatible with the group Z n |
| title_short | Intuitionistic fuzzy relations compatible with the group Z n |
| title_sort | intuitionistic fuzzy relations compatible with the group z n |
| topic | Intuitionistic fuzzy relations Fuzzy relations Compatible fuzzy relations |
| url | https://doi.org/10.1186/s42787-019-0053-6 |
| work_keys_str_mv | AT egemam intuitionisticfuzzyrelationscompatiblewiththegroupzn |