Generally, in most situations optimal achievement of multiple goals is rarely possible for crisp mathematical programming techniques. In such cases, a compromise achievement of goals that leads to a satisfycing solution rather than an optimal solution bears more relevance. The present research introduces a Fuzzy Goal Data Envelopment Analysis (Fuzzy GoDEA) framework to measure and evaluate the goals of efficiency and effectiveness in a fuzzy environment. | Yugoslav Journal of Operations Research 13 (2003), Number 1, 35-60 MEASURING AND EVALUATING EFFICIENCY AND EFFECTIVENESS USING GOAL PROGRAMMING AND DATA ENVELOPMENT ANALYSIS IN A FUZZY ENVIRONMENT Nimish SHETH, Konstantinos TRIANTIS System Performance Laboratory Grado Department of Industrial and Systems Engineering Virginia Tech, Northern Virginia Center Falls Church, VA, USA Abstract: Generally, in most situations optimal achievement of multiple goals is rarely possible for crisp mathematical programming techniques. In such cases, a compromise achievement of goals that leads to a satisfycing solution rather than an optimal solution bears more relevance. The present research introduces a Fuzzy Goal Data Envelopment Analysis (Fuzzy GoDEA) framework to measure and evaluate the goals of efficiency and effectiveness in a fuzzy environment. Fuzzy GoDEA accommodates crisp input and output data but allows imprecise specification of the aspiration levels for the efficiency and effectiveness goals. A membership function is defined for each fuzzy constraint associated with the efficiency and effectiveness goals and represents the degree of achievement of that constraint. Further, the Fuzzy GoDEA framework is extended into several variations that (i) allow the assignment of relative importance to the goals of efficiency and effectiveness and (ii) model scenarios where one of the goals of efficiency and effectiveness is crisp and the other fuzzy. The Fuzzy GoDEA framework is implemented for a newspaper preprint insertion process (NPIP). Keywords: Fuzzy goal programming, efficiency and effectiveness measurement, improvement of manufacturing organizations, Data Envelopment Analysis (DEA). 1. INTRODUCTION: MOTIVATION AND OBJECTIVES Measurement and evaluation of efficiency has been an ongoing research issue in the management science literature (Fried, Lovell, and Schmidt (1993); Charnes, Cooper, Lewin, and Seiford (1994)). Further, there has been a growing interest in using .
