New types of fuzzy (m, n)-ideals in ordered semigroups
In this paper, we introduce new types of fuzzy (m, n)-ideals in ordered semigroups. In fact, the notion of (∈ , ∈ ∨ (κ*, qκ))-fuzzy (m, n)-ideals of the ordered semigroups is introduced. Further, we present the characterzations of this notion in different ways. Then the (κ*, κ)-lower part of the (∈ ...
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| Veröffentlicht in: | Journal of intelligent & fuzzy systems 2021-01, Vol.41 (6), p.6561-6574 |
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| container_title | Journal of intelligent & fuzzy systems |
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| creator | Muhiuddin, G. Mahboob, A. Khan, N. M. Al-Kadi, D. |
| description | In this paper, we introduce new types of fuzzy (m, n)-ideals in ordered semigroups. In fact, the notion of (∈ , ∈ ∨ (κ*, qκ))-fuzzy (m, n)-ideals of the ordered semigroups is introduced. Further, we present the characterzations of this notion in different ways. Then the (κ*, κ)-lower part of the (∈ , ∈ ∨ (κ*, qκ))-fuzzy (m, n)-ideals is defined and its associated properties are investigated. After that, (m, n)-regular ordered semigroups are characterized in terms of its (∈ , ∈ ∨ (κ*, qκ))-fuzzy (m, n)-ideals and their (κ*, κ)-lower parts. |
| doi_str_mv | 10.3233/JIFS-210378 |
| format | Article |
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| title | New types of fuzzy (m, n)-ideals in ordered semigroups |
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