Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point

Abstract

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.

Keywords

• Intuitionistic fuzzy bi-ideal; )
• ( k  q -intuitionistic fuzzy biideal; )
• (  qk -intuitionistic fuzzy generalized bi-ideals; regular ordered semigroups; left weakly regular ordered semigroups. 2000 Mathematics Subject Classification: 06F05
• 20M12
• 08A72.