Title :
Solving linear programming problems with Interval Type-2 fuzzy constraints using interval optimization
Author :
Figueroa Garcia, Juan Carlos ; Hernandez, Gloria
Author_Institution :
Eng. Dept., Univ. Nac. de Colombia, Bogotá, Colombia
Abstract :
This paper shows the use of interval optimization models to solve linear programming problems with Interval Type-2 fuzzy constraints. The concept of α-cut of an Interval Type-2 fuzzy set is used to find optimal solutions to uncertain optimization problems. A detailed explanation of the obtained results and an application example are provided.
Keywords :
fuzzy set theory; linear programming; α-cut; interval optimization models; interval type 2 fuzzy constraints; interval type 2 fuzzy set; linear programming problem solving; optimal solutions; uncertain optimization problems; Optimization;
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
DOI :
10.1109/IFSA-NAFIPS.2013.6608473