Neutrosophic Vague Binary BCK/BCI-algebra

• Main Authors: Remya. P. B, Francina Shalini. A
• Format: Article
• Language: English
• Published: University of New Mexico 2020-07-01
• Series: Neutrosophic Sets and Systems
• Subjects: vague h - ideal; neutrosophic vague binary bck/bci - algebra; neutrosophic vague binary bck/bci – subalgebra; neutrosophic vague binary bck/bci - ideal; neutrosophic vague binary bck/bci p- ideal; neutrosophic vague binary bck/bci q - ideal; neutrosophic vague binary bck/bci a-ideal; neutrosophic vague binary bck/bci h - ideal; neutrosophic vague binary bck/bci - cut
• Online Access: http://fs.unm.edu/NSS/NeutrosophicVague3.pdf

Ineradicable hindrances of the existing mathematical models widespread from probabilities to soft sets. These difficulties made up way for the opening of “neutrosophic set model’. Set theory of ‘vague’ values is an already established branch of mathematics. Complex situations which arose in problem solving, demanded more accurate models. As a result, ‘neutrosophic vague’ came into screen. At present, research works in this area are very few. But it is on the way of its moves. Algebra and topology are well connected, as algebra and geometry. So, anything related to geometric topology is equally important in algebraic topology too. Separate growth of algebra and topology will slow down the development of each branch. And in one sense it is imperfect! In this paper a new algebraic structure, BCK/BCI is developed for ‘neutrosophic’ and to ‘neutrosophic vague’ concept with ‘single’ and ‘double’ universe. It’s sub-algebra, different kinds of ideals and cuts are developed in this paper with suitable examples where necessary. Several theorems connected to this are also got verified.