Generalizations of Neutrosophic Subalgebras in BCK/BCI-Algebras Based on Neutrosophic Points

Abstract

Saeid and Jun introduced the notion of neutrosophic points, and studied neutrosophic subalgebras of several types in BCK/BCI-algebras by using the notion of neutrosophic points (see [4] and [6]). More general form of neutrosophic points is considered in this paper, and generalizations of Saeid and Jun's results are discussed. The concepts of (is an element of, is an element of Vq((kT,kI,kF)))-neutrosophic subalgebra, (q((kT,kI,kF)), is an element of Vq((kT,kI,kF)))-neutrosophic subalgebra and (is an element of, q((kT,kI,kF)))-neutrosophic subalgebra are introduced, and several properties are investigated. Characterizations of (is an element of, is an element of Vq((kT,kI,kF)))-neutrosophic subalgebra are discussed.