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On (∈, ∈ ∨q)−anti fuzzy bi-ideals of ordered semigroup | ||
Journal of Hyperstructures | ||
دوره 1، شماره 2، اسفند 2012، صفحه 31-45 اصل مقاله (341.25 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2012.2546 | ||
نویسندگان | ||
G. Mohanraj* ؛ D. Krishnaswamy؛ R. Hema | ||
Department of Mathematics, Annamalai University, Annamalainagar, India | ||
چکیده | ||
In this paper, we introduce the notions of (∈¯, ∈ ∨ ¯q¯)−fuzzy bi-ideals, (∈, ∈ ∨q)−antifuzzy bi-ideals and (∈¯, ∈ ∨ ¯q¯)−antifuzzy bi-ideals of an ordered semigroup. We characterize (∈, ∈ ∨q)−antifuzzy bi-ideals by (∈¯, ∈∨¯ q¯)−fuzzy bi-ideals, lower level sets and upper level sets. We characterize (∈¯, ∈ ∨ ¯ q¯)−antifuzzy bi-ideals by (∈, ∈ ∨q)−fuzzy bi-ideals, lower level sets and upper level sets. We characterize regular ordered semigroups through (∈¯, ∈ ∨¯ q¯)−antifuzzy bi-ideals and (∈, ∈ ∨q)−fuzzy bi-ideals. | ||
کلیدواژهها | ||
Fuzzy algebra؛ ∈ ∨ ¯ q¯)−fuzzy bi-ideals؛ (∈؛ ∈ ∨q)−antifuzzy bi-ideals؛ (∈¯؛ ∈ ∨ ¯ q¯)−antifuzzy bi-ideals | ||
آمار تعداد مشاهده مقاله: 36 تعداد دریافت فایل اصل مقاله: 45 |