Gwo-Hshiung Tzeng
National Distinguished Chair Professor; Graduate Institute of Management of Technology, National Chiao Tung University; and Kainan University; E-mail: ghtzeng@cc.nctu.edu.tw;
Tel: +886-3-5712121#57505; Fax: +886-3-5753926
1. Introduction
Since Zadeh originally proposed fuzzy set theory (1965), and Bellman and Zadeh (1970) subsequently described the decision-making methods in fuzzy environments, growth of applications of fuzzy set theory and relevant approaches cope with uncertain fuzzy problems. Basically, the elements of decision-making problems consist of goal/objective goal, criteria/factors alternatives/actions, and so on. Usually, there have many criteria, either quantitative or qualitative or mixed, within processing of analytic and evaluating for decision-making problems. Moreover, it is not unusual for many conflicting criteria to be used, how to evaluate the importance (weight) of listed criteria and how to aggregate which parameters with performance of alternatives (or actions) is the important challenge for the decision maker.
In the past, there are many approaches proposed to deal with multiple criteria decision-making problems. Through this article we will pay attention to the methods for decision making in fuzzy environment. We give the basic concept of decision making in fuzzy environment in next section. We will take apart these MCDM problems into two phases to discuss. In section 3, we focus on the topic of fuzzy multiple attribute decision-making, we will review many methods or techniques and their applications for this field. In section 4, we will describe some concepts and models development of fuzzy multiple objective decision making. We also demonstrate relevant techniques and process for group decision-making topic in section 5. Some numerical and practical examples including this chapter will more appropriate to help you to understand the context of theory and the meaning of the applications.
2. Full text : تمام متن