Single Valued Neutrosophic Numbers and Their Applications to Multicriteria Decision Making Problem

This paper firstly introduced single valued neutrosophic numbers which is a generalization of fuzzy numbers and intuitionistic fuzzy numbers, and gives a single valued trapezoidal neutrosphic weighted aggregation operator (SVTNWAO) and applied to multicriteria decision making problem.

Abstract

In this paper, we firstly introduced single valued neutrosophic numbers which is a generalization of fuzzy numbers and intuitionistic fuzzy numbers. A single valued neutrosophic number is simply an ordinary number whose precise value is somewhat uncertain from a philosophical point of view. Then, we will discuss two special forms of single valued neutrosophic numbers such as single valued trapezoidal neutrosophic numbers and single valued triangular neutrosophic numbers. Also, we give some operations on single valued trapezoidal neutrosophic numbers and single valued triangular neutrosophic numbers. Finally, we give a single valued trapezoidal neutrosophic weighted aggregation operator(SVTNWAO) and applied to multicriteria decision making problem. Keyword 0.1 Neutrosophic set, single valued neutrosophic numbers, trapezoidal neutrosophic numbers, triangular neutrosophic numbers, aggregation operators, decision making.