Algebraic operations on new interval neutrosophic vague sets

Abstract

The interval neutrosophic set plays an important role to handle indeterminacy and inconsistency of information during decision making process. Recently, the interval neutrosophic vague sets have been proposed as an extension of the neutrosophic sets. Similar with other sets, this newly proposed set have to fulfill some algebraic operations. This paper aims to present algebraic operations for the interval neutrosophic vague sets. Some algebraic operations on interval neutrosophic vague set are introduced. Specifically, algebraic operations of addition, multiplication, scalar multiplication and power for the interval neutrosophic vague sets are presented. In addition, several related examples are also presented together with supporting proofs.