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This article is an attempt to combine different ways of working with sets ofobjects and their classes for designing and development of artificialintelligent systems (AIS) of analysis information, using object-orientedprogramming (OOP). This paper contains analysis of basic concepts of OOP andtheir relation with set theory and artificial intelligence (AI). Process ofsets and multisets creation from different sides, in particular mathematicalset theory, OOP and AI is considered. Definition of object and its properties,homogeneous and inhomogeneous classes of objects, set of objects, multiset ofobjects and constructive methods of their creation and classification areproposed. In addition, necessity of some extension of existing OOP tools forthe purpose of practical implementation AIS of analysis information, usingproposed approach, is shown.

Mathematical Foundations for Designing and Development of Intelligent Systems of Information Analysis