Special algebra which explores and interprets the predicative relations was created and developed in the monograph. In view of this task the description of the object by syntagm from the point of view of volume and content of the object and problems of research of informative combinations in syntactic pattern recognition was identified and solved. There were intensional and extensional representations of the object and conditions for obtaining of maximum deductibility using implication. The best deduction based on the estimating predicates within fuzzy logic in broad sense was determined....