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- W2760652511 abstract "Abstract AG -groupoids (non-associative structure) are basic structures in Flocks theory. This theory mainly focuses on distance optimization, motion replication, and leadership maintenance with a wide range of applications in physics and biology. In this paper, we define some new types of fuzzy ideals of AG -groupoids called ( α , β )-fuzzy bi-ideals, ( α , β )-fuzzy interior ideals, ( β ̄, α ̄)-fuzzy bi-ideals, and ( β ̄, α ̄)-fuzzy interior ideals, where α , β ∈{∈ γ , q δ , ∈ γ ∨ q δ , ∈ γ ∧ q δ } and α ̄, β ̄∈{⋶ γ , q ̄ δ , ⋶ γ ∨ q ̄ δ , ⋶ γ ∧ q ̄ δ }, with α ≠∈ γ ∧ q δ and β ̄≠⋶ γ ∧ q ̄ δ . An important milestone achieved by this paper is providing the connection between classical algebraic structures (ordinary bi-ideals, interior ideals) and new types of fuzzy algebraic structures [(∈ γ , ∈ γ ∨ q δ )-fuzzy bi-ideals, (∈ γ , ∈ γ ∨ q δ )-fuzzy interior ideals]. Special attention is given to (∈ γ , ∈ γ ∨ q δ )-fuzzy bi-ideals and (⋶ γ , ⋶ γ ∨ q ̄ δ ) -fuzzy bi-ideals." @default.
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- W2760652511 date "2019-09-25" @default.
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- W2760652511 title "Some Innovative Types of Fuzzy Ideals in AG-Groupoids" @default.
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- W2760652511 doi "https://doi.org/10.1515/jisys-2017-0258" @default.
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