
Intuitionistic fuzzy generalized bi-ideals play an important role in the study of ordered semigroups. In this paper, we try obtain more general form of intuitionistic fuzzy generalized bi-ideal of an ordered semigroup. The concept of (∈, ∈ ∨qk)-intuitionistic fuzzy generalized bi-ideal is introduced and several related properties are investigated. We show that in regular and left weakly regular ordered semigroups the concepts of (∈, ∈ ∨qk)-intuitionistic fuzzy generalized biideal and (∈, ∈ ∨qk)-intuitionistic fuzzy bi-ideal coincide.
Intuitionistic fuzzy bi-ideal; ), 08A72., Business mathematics. Commercial arithmetic. Including tables, etc., ( qk -intuitionistic fuzzy generalized bi-ideals; regular ordered semigroups; left weakly regular ordered semigroups. 2000 Mathematics Subject Classification: 06F05, T57-57.97, 20M12, Applied mathematics. Quantitative methods, QA1-939, ( k q -intuitionistic fuzzy biideal; ), Mathematics, HF5691-5716
Intuitionistic fuzzy bi-ideal; ), 08A72., Business mathematics. Commercial arithmetic. Including tables, etc., ( qk -intuitionistic fuzzy generalized bi-ideals; regular ordered semigroups; left weakly regular ordered semigroups. 2000 Mathematics Subject Classification: 06F05, T57-57.97, 20M12, Applied mathematics. Quantitative methods, QA1-939, ( k q -intuitionistic fuzzy biideal; ), Mathematics, HF5691-5716
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