Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem

Abstract

In the present paper, we introduced the concept of single valued trapezoidal neutrosophic number, which is generalization of single valued neutrosophic number. A generalization of crisp, fuzzy and intuitionistic fuzzy sets represents as neutrosophic sets, which have uncertainty, inconsistent, and leteness information in real world problem. De-neutrosophication is a process to convert neutrosophic number into a crisp number for practical applications. For unbalanced neutrosophic transportation problem, we also use here minimum row column method and set a comparison among crisp and neutrosophic optimal solutions. Here we use two models of transportation problems to understand the applications in neutrosophic environment.

Keywords

• number
• single valued trapezoidal neutrosophic number
• de-neutrosophication
• neutrosophic transportation problem