A New Total Order for Triangular Fuzzy Numbers with an Application

• Valentina Rosas Universidad de Magallanes
• Benjamín Bedregal Federal University of Rio Grande do Norte (UFRN) http://orcid.org/0000-0002-6757-7934
• José Canumán Universidad de Magallanes
• Roberto Díaz Universidad de Los Lagos
• Edmundo Mansilla Universidad de Magallanes
• Nicolás Zumelzu Universidad de Magallanes http://orcid.org/0000-0003-1682-3880

DOI: https://doi.org/10.5753/weit.2021.18917

Abstract

This work deals with the study of a new total order Triangular Fuzzy Numbers and arithmetic properties that are maintained in relation to the operations of addition and subtraction. Additionally, we present as example of application the shortest path solution for the Travelling Salesman Problem with fuzzy distances.

Keywords: Fuzzy Numbers, Total Order, Triangular Fuzzy Numbers, Fuzzy Weighted Graph

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