A flexible programming approach based on intuitionistic fuzzy optimization and geometric programming for solving multi-objective nonlinear programming problems

作者:

Highlights:

• We propose a new method for solving nonlinear programming problems.

• It integrates the concepts of intuitionistic fuzzy sets and geometric programming.

• A two steps approach is employed to determine satisfying solutions to the problem.

• The obtained solutions satisfy the conditions of Pareto-optimality.

• The formulation of the models does not affect the posynomiality of the problem.

摘要

•We propose a new method for solving nonlinear programming problems.•It integrates the concepts of intuitionistic fuzzy sets and geometric programming.•A two steps approach is employed to determine satisfying solutions to the problem.•The obtained solutions satisfy the conditions of Pareto-optimality.•The formulation of the models does not affect the posynomiality of the problem.

论文关键词:Multi-objective nonlinear programming,Geometric programming,Intuitionistic fuzzy optimization,Interactive decision making

论文评审过程:Received 5 February 2017, Revised 7 September 2017, Accepted 12 October 2017, Available online 13 October 2017, Version of Record 21 October 2017.

论文官网地址:https://doi.org/10.1016/j.eswa.2017.10.030