An approach for solving a fuzzy multiobjective programming problem

作者：Luhandjula M K^*; Rangoaga M J

来源：European Journal of Operational Research, 2014, 232(2): 249-255.

DOI：10.1016/j.ejor.2013.05.040

• Multiobjective programming
• Fuzzy numbers
• Nearest interval approximation
• Pareto optimality
• KKT conditions
• gH-differentiability

In this paper we present a new approach, based on the Nearest Interval Approximation Operator, for dealing with a multiobjective programming problem with fuzzy-valued objective functions.
By the way we have established a Karush-Kuhn-Tucker (K.K.T) kind of Pareto optimality conditions, for the resulting interval multiobjective program. To this end, we made use of gH-differentiability of involved interval-valued functions.
Two algorithms play a pivotal role in the proposed method. The first one returns a nearest interval approximation to a given fuzzy number. The other one makes use of K.K.T conditions to deliver a Pareto optimal solution of the above mentioned resulting interval program.

• 出版日期2014-1-16