On One Class of Generalized Operations for the Representation and Interpretation of Triangular Norms and Conorms

This paper presents an approach whose essence is to use functions of a special kind to establish the structure of known fuzzy operations in the form of triangular norms and conorms. Generalized parametric representations for these operations are obtained. The results of the study will not only increase the degree of validity in the formalization of logical connectives, but also systematize the use of fuzzy operations in fuzzy modelling.