Hybrid Fuzzy-Linear Programming Approach for Multi-Criteria Decision Making Problems

Title: Hybrid Fuzzy-Linear Programming Approach for Multi-Criteria Decision Making Problems

Research Question: How effective is the hybrid fuzzy-linear programming approach in solving multi-criteria decision making problems?

Methodology: The researchers used a combination of fuzzy set theory and linear programming to create a new approach for multi-criteria decision making problems. They first introduced the fundamentals of fuzzy set theory and technical concepts of fuzzy multiple objective decision models. They then compared the results of their proposed technique with a non-fuzzy approach in a case study of a manufacturing plant.

Results: The empirical results showed that the fuzzy technique provided better results than the non-fuzzy approach. The optimal solution helped to infer that incorporating fuzziness in a linear programming model either in constraints or both in objective functions and constraints provided a similar (or even better) level of satisfaction for obtained results.

Implications: The hybrid fuzzy-linear programming approach can be applied to various business activities where decisions are based on fuzzy numbers and multiple objectives. It can help decision-makers make better choices by considering all the relevant factors and their weights. The approach can also be adapted for other fields that involve multi-criteria decision making problems.

Link to Article: https://arxiv.org/abs/0405019v1 Authors: arXiv ID: 0405019v1