ON $(ALPHA ,BETA)$-FUZZY IDEALS OF TERNARY SEMIGROUPS
| Main Author: | Davvaz, Bijan; Yazd University |
|---|---|
| Format: | Article application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
IndoMS
, 2014
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| Subjects: | |
| Online Access: |
http://www.jims-a.org/index.php/jimsa/article/view/120 |
Daftar Isi:
- In this paper, we introduce the concept of generalizedfuzzy ideals in ternary semigroups, which is a generalization of the fuzzyideals of semigroups. In this regard, we define ($\alpha ,\beta $)-fuzzyleft (right, lateral) ideals, ($\alpha ,\beta $)-fuzzy quasi-ideals and ($\alpha ,\beta $)-fuzzy bi-ideals and invetigate some related properties ofternary semigroups. Special concentration is paid to ($\in ,\in \vee q$)-fuzzy left (right, lateral) ideals, ($\in ,\in \vee q$)-fuzzy quasi-idealsand ($\in ,\in \vee q$)-fuzzy bi-ideals. Finally, wecharacterize regular ternary semigroups in terms of these notions.DOI : http://dx.doi.org/10.22342/jims.19.2.120.123-138