Neutrosophic N-Structures Applied to BCK/BCI-Algebras

Introduction to Neutrosophic BCI/BCK-Algebras

In this paper, we introduce the concept of neutrosophic BCI/BCKalgebras. Elementary properties of neutrosophic BCI/BCK algebras are presented. AMS (2010): 03B60, 03G25, 06F35.

Neutrosophic subalgebras of several types in BCK/BCI-algebras

Given Φ,Ψ ∈ {∈, q,∈ ∨ q}, the notion of (Φ, Ψ)neutrosophic subalgebras of a BCK/BCI-algebra are introduced, and related properties are investigated. Characterizations of an (∈,∈)neutrosophic subalgebra and an (∈,∈∨ q)-neutrosophic subalgebra are provided. Given special sets, so called neutrosophic ∈-subsets, neutrosophic q-subsets and neutrosophic ∈∨ q-subsets, conditions for the neutrosophic ∈...

Double-Framed Soft Sets with Applications in BCK/BCI-Algebras

In order to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties, the notion of double-framed soft sets is introduced, and applications in BCK/BCI-algebras are discussed. The notions of double-framed soft algebras in BCK/BCIalgebras are introduced, and related properties are investigated. Characterizations of doubleframed soft algebras are...

REDEFINED FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS

Using the notion of anti fuzzy points and its besideness to and nonquasi-coincidence with a fuzzy set, new concepts in anti fuzzy subalgebras in BCK/BCI-algebras are introduced and their properties and relationships are investigated.

N-Subalgebras in BCK/BCI-Algebras Based on Point N-Structures