Title :
Algorithm for interval linear programming involving interval constraints
Author :
Alolyan, Ibraheem
Author_Institution :
Dept. of Math., King Saud Univ., Riyadh, Saudi Arabia
Abstract :
In real optimization, we always meet the criteria of useful outcomes increasing or expenses decreasing and demands of lower uncertainty. Therefore, we usually formulate an optimization problem under conditions of uncertainty. In this paper, a new method for solving linear programming problems with fuzzy parameters in the objective function and the constraints based on preference relations between intervals is investigated. To illustrate the efficiency of the proposed method, a numerical example is presented.
Keywords :
fuzzy set theory; linear programming; fuzzy parameters; interval constraints; interval linear programming; linear programming problems; objective function; preference relations; Fuzzy sets; Linear programming; Optimization; Programming; Uncertainty; Vectors;
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
DOI :
10.1109/IFSA-NAFIPS.2013.6608585