A general model for fuzzy linear programming
Fuzzy Sets and Systems
Linear programming with fuzzy objectives
Fuzzy Sets and Systems
Fuzzy programming in multiobjective linear programming - a parametric approach
Fuzzy Sets and Systems
Joint solution to fuzzy programming problems
Fuzzy Sets and Systems - Special issue on fuzzy relations, part 1
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Introduction to Linear Optimization
Introduction to Linear Optimization
Multicriteria Optimization
Multiobjective Optimization Through a Series of Single-Objective Formulations
SIAM Journal on Optimization
Towards a new strategy for solving fuzzy optimization problems
Fuzzy Optimization and Decision Making
The use of parametric programming in fuzzy linear programming
Fuzzy Sets and Systems
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In the present paper the fuzzy linear optimization problem (with fuzzy coefficients in the objective function) is considered. Recent concepts of fuzzy solution to the fuzzy optimization problem based on the level-cut and the set of Pareto optimal solutions of a multiobjective optimization problem are applied. Chanas and Kuchta suggested one approach to determine the membership function values of fuzzy optimal solutions of the fuzzy optimization problem, which is based on calculating the sum of lengths of certain intervals. The purpose of this paper is to determine a method for realizing this idea. We derive explicit formulas for the bounds of these intervals in the case of triangular fuzzy numbers and show that only one interval needs to be considered.