Abstract:
The article discusses the possibility of representing fuzzy knowledge in complex systems by means of tensor methodology. The tensor methodology is considered as a general system theory method used to analyze complex systems. The method is the result of applying the apparatus of tensor algebra in solving problems of the general theory of systems. A fuzzy logic apparatus is used to represent fuzzy knowledge in a complex system. Using the example of building fuzzy sets on a certain domain, a method is proposed for obtaining a tensor from elements of a fuzzy set and a membership function. The results are illustrated by the description of the world of fuzzy objects of a complex system, which includes the representation of objects and the relations between them. The advantages of using tensor methodology to represent fuzzy knowledge in complex systems are noted.
