On fuzzy extension decision system of the large scale system

Decision system is discussed for the complex large scale systems. This paper develops fuzzy gray matter-element space and fuzzy extension economic space that is combined with newly emerging fields such as fuzzy sets and fuzzy systems, extension sets, gray system and set pair analysis, and then some fuzzy extension mathematical models are suggested. Furthermore, several sets of fuzzy extension decision support systems based on the theory are presented applied to the large scale systems and, at the same time, this paper illustrates the features and applications for each system