Optimal balance between recycling and waste‐to‐energy programs by grey fuzzy nonlinear goal programming (I) theory

Abstract

This paper specifically describes the disparity between several fuzzy goals in a decision making process and solves the potential conflicts by a new approach: the grey fuzzy goal programming (GFGP) model. In particular, it demonstrates how the grey uncertainties embedded in parameter values and fuzzy messages existing in goals can be quantified within a modified goal programming analytical framework to fully interpret the complexity from both system nature and human aspiration. Such a theoretical development indicates that the grey fuzzy optimal solutions constitute an important step toward the identification of more flexible management policy of many real world systems.

Key words:

• systems analysis
• goal programming
• fuzzy sets theory
• grey systems theory