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.
Mohanraj, G., Krishnaswamy, D., & Hema, R. (2012). On (∈, ∈ ∨q)−anti fuzzy bi-ideals of ordered semigroup. Journal of Hyperstructures, 1(2), 31-45. doi: 10.22098/jhs.2012.2546
MLA
G. Mohanraj; D. Krishnaswamy; R. Hema. "On (∈, ∈ ∨q)−anti fuzzy bi-ideals of ordered semigroup". Journal of Hyperstructures, 1, 2, 2012, 31-45. doi: 10.22098/jhs.2012.2546
HARVARD
Mohanraj, G., Krishnaswamy, D., Hema, R. (2012). 'On (∈, ∈ ∨q)−anti fuzzy bi-ideals of ordered semigroup', Journal of Hyperstructures, 1(2), pp. 31-45. doi: 10.22098/jhs.2012.2546
VANCOUVER
Mohanraj, G., Krishnaswamy, D., Hema, R. On (∈, ∈ ∨q)−anti fuzzy bi-ideals of ordered semigroup. Journal of Hyperstructures, 2012; 1(2): 31-45. doi: 10.22098/jhs.2012.2546
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