Processing Direction with Ordered Fuzzy Numbers

TLDR: It was already mentioned in previous sections that the Ordered Fuzzy Number model can represent a kind of tendency or direction, but for a real practical use of this feature the tools for processing it are also needed.

Abstract: It was already mentioned in previous sections that the Ordered Fuzzy Number (OFN) model can represent a kind of tendency or direction. However, for a real practical use of this feature the tools for processing it are also needed. Of course some kind of quantitative processing is provided by the definitions of calculations, but there is much more potential for this feature apart from arithmetic operations. This part presents the idea of a property of processing data called sensitivity to the direction. The main focus here is placed on the proposition of a direction determinant parameter that can be understood as a kind of measure of a direction. This determinant is a basis for the definition of such elements as the compatibility between two OFNs and also for an inference operator for a rule where the OFNs were used. The propositions of such operations are the important part of these sections of the book.