Decision Making Unit Projections in Fully Fuzzy Problems using Value Efficiency Analysis

The purpose of this paper is to present fully fuzzy value efficiency model and fully fuzzy value efficiency with ratio data model and determine DMU targets by solving them. It is considerable that to find targets of decision making units (DMUs) in data envelopment analysis, usually the required exact data and information are not available. In this situation using mathematical models with fuzzy parameters and decision making variables can be useful. Also, by using value efficiency analysis, the opinions of manager can be considered in determining DMU targets.

Here, the linear programming models which all parameters and decision variables are triangular fuzzy numbers are defined as fully fuzzy linear programming. Each proposed full fuzzy model is converted to a triple objective non-fuzzy linear programming model and solved by the lexicographic method.

Research project targets in a university of Iran were determined by creating and solving proposed mathematical models.

Originality/Value: 

To present and solve fully fuzzy value efficiency model and fully fuzzy value efficiency with ratio data model and determine DMU targets are the innovations of this research. It is considerable that presenting the results as fuzzy numbers can be applied to evaluate DMUs.