Mathematics in the Context of Fuzzy Sets: Basic Ideas, Concepts, and Some Remarks on the History and Recent Trends of Development

Abstract

The main aim of this paper is to discuss the basic ideas and concepts of the so called ‘Fuzzy Mathematics’ and to give a brief survey of the history and of some trends in recent development of mathematics and its applications in the context of fuzzy sets. As a potential reader we imagine a mathematician, who is not working in the field of ‘fuzzy mathematics’, but wishes to have some idea about this vast field in modern science.

Keywords:

• fuzzy set
• fuzzy logic
• fuzzy real number

AMS Subject Classification::

• 03B52
• 03E72
• 08A72
• 28E10
• 34A07
• 54A40