Decision Making in a Fuzzy and Random Environment

This paper illustrates decision making method in a fuzzy & random environment. For the fuzzy constraints not only fuzziness of the constraints relations but also uncertainties of the response of the structures, allowable limits of the constraints and structural design variables, etc. are considered. And every possible case of the fuzzy variables, random variables and fuzzy-random variables, etc. for the uncertainties of the optimization problem are all considered, so the most general method of the decision making is presented.