Development of the Knowledge-Based Learning System for Distance Education

This article addresses difficulties in developing a knowledge base for application to educational environments. To solve this problem, fundamental principles used for building similar systems are proposed. A mathematical model is chosen to propose a mathematical design of educational materials based on linguistic variables. A membership function of knowledge evaluation and an architecture of fuzzy knowledge were created, on the basis of a set of two types of fuzzy rules that cover all possible situations in the educational environment, with a demonstration of its application based on the original method of selection questions for procedure evaluation of student knowledge. In the end, the studies analyzing the utility of the experiment clearly showed an increase in the efficiency of the educational process, with the advantage of applied models and technologies in the long term. (C) 2012 Wiley Periodicals, Inc.