Open AccessA New Total Order for Triangular Fuzzy Numbers with an Application
Author(s) -
Valentina Rosas,
Benjamín Bedregal,
José Canumán,
R. Dı́az,
Edmundo Mansilla,
Nicolás Zumelzu
Publication year - 2021
Language(s) - English
Resource type - Conference proceedings
DOI - 10.5753/weit.2021.18917
Subject(s) - travelling salesman problem , shortest path problem , subtraction , fuzzy number , relation (database) , fuzzy logic , mathematics , order (exchange) , mathematical optimization , computer science , path (computing) , fuzzy set , arithmetic , discrete mathematics , artificial intelligence , graph , data mining , programming language , finance , economics
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.