Generalized Discrimination Analysis

摘要

In the following work the new method of decision-making is elaborated - generalized discrimination analysis, which is generalization of classical discrimination analysis for the cases where the activities are fuzzy and represented by their compatibility values. The characteristic - frequency, which was used in classic discrimination analysis is replaced by fuzzy characteristic - Most Typical Value (MTV), such as Fuzzy Expected Value (FEV) Weighted Fuzzy Expected Value (FWEV) and Generalized Weighted Fuzzy Expected Value (GWFEV) Respectively the method of decision-making is generalized, while the main idea remains the same - positive discrimination represents the belief that the activity is more indicative of the decision, than any of the remaining decisions, and negative - vice-versa. The proposition of generalization in the case when MTV=FEV and fuzzy measure is sampling distribution is proved. An example of use of generalized discrimination analysis is demonstrated. The application of given method in Psychiatry are presented.