Integral transforms on spaces of complete residuated lattice valued functions
Michal Holčapek, Viec Bui · 2020
The aim of this paper is to introduce two types of integral transforms that naturally generalize the lower and upper fuzzy transforms for the residuated lattice valued functions. For the construction of such integral transforms we consider a multiplication based fuzzy (qualitative) integral and an integral kernel in the form of a special binary fuzzy relation. We analyze the basic properties of the proposed integral transforms.