A Novel Approach by using Interval-Valued Trapezoidal Neutrosophic Numbers in Transportation Problem

Abstract

In today's scenario transportation problem [TP] is the prominent area of optimization. In the present paper, a TP in a neutrosophic environment, known as a neutrosophic transportation problem [NTP] is introduced with interval-valued trapezoidal neutrosophic numbers [IVTrNeNs]. To maintain physical distance among the industrialists and researchers during the covid-19 pandemic, the intervalvalued fuzzy numbers [IVFNs] in place of crisp numbers are very much essential to address the hesitation and uncertainty in real-life situations. IVTrNeN is the generalization of single-valued neutrosophic numbers [SVNeN], which are used as the cost, the demand, and the supply to transport the necessary equipment, medicines, food products, and other relevant items from one place to another to save the human lives in a covid-19 pandemic. A Neutrosophic set, which has uncertainty, inconsistency, and incompleteness information is the abstract principle of crisp, fuzzy, and intuitionistic fuzzy sets. Here we suggest some numerical problems for better execution of the neutrosophic transportation problem [NTP], to understand the practical applications of interval-valued neutrosophic numbers [IVNeNs]. In the last, we compare our results and a conclusion is given in support of our proposed result methodology with IVTrNeNs.

Keywords

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