Neutrosophic Triplet Group Based on Set Valued Neutrosophic Quadruple Numbers

Abstract

Smarandache introduced neutrosophic quadruple sets and neutrosophic quadruple numbers [45] in 2015. These sets and numbers are real or complex number valued. In this study, we firstly introduce set valued neutrosophic quadruple sets and numbers. We give some known and special operations for set valued neutrosophic quadruple numbers. Furthermore, Smarandache and Ali obtained neutrosophic triplet groups [30] in 2016. In this study, we firstly give neutrosophic triplet groups based on set valued neutrosophic quadruple number thanks to operations for set valued neutrosophic quadruple numbers. In this way, we define new structures using the together set valued neutrosophic quadruple number and neutrosophic triplet group. Thus, we obtain new results for set valued neutrosophic quadruple numbers and neutrosophic triplet groups based on set valued neutrosophic quadruple number.

Keywords

• : neutrosophic triplet set
• neutrosophic triplet group
• neutrosophic triplet quadruple set
• neutrosophic triplet quadruple number
• set valued neutrosophic triplet quadruple set
• set valued neutrosophic triplet quadruple number