Fuzzy orders and pseudo-fuzzy orders on semirings
The main goal of this paper is to introduce and study several classes of fuzzy ordered semirings, and then to investigate some interesting properties of them in terms of special fuzzy ideals. In this respect, we characterize left (resp., right) weakly regular fuzzy ordered semirings, weakly regular...
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| Veröffentlicht in: | Journal of intelligent & fuzzy systems 2019-01, Vol.36 (6), p.6443-6454 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The main goal of this paper is to introduce and study several classes of fuzzy ordered semirings, and then to investigate some interesting properties of them in terms of special fuzzy ideals. In this respect, we characterize left (resp., right) weakly regular fuzzy ordered semirings, weakly regular fuzzy ordered semirings and semisimple fuzzy ordered semirings via different kinds of fuzzy ideals, respectively. Moreover, the pseudo-fuzzy order on semirings is defined, based on it, a homomorphism theorem of fuzzy ordered semirings is obtained. |
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| ISSN: | 1064-1246 1875-8967 |
| DOI: | 10.3233/JIFS-18278 |