Intuitionistic Fuzzy Sets in J-CO-QL$$^+$$?

Abstract

AbstractIntuitionistic Fuzzy Sets extend the classical notion of Fuzzy Sets, so as to represent “hesitation”: indeed, an item has both a membership degree and a non-membership degree, whose sum could be less than 1; the difference denotes the “hesitation” about the fact that the item belongs or not to the fuzzy set. Similarly, Intuitionistic Fuzzy Relations involve two domains.Supposing that Intuitionistic Fuzzy Sets and Relations are provided as JSON data sets, is there a stand-alone tool to process them? This paper studies if the constructs currently provided by J-CO-QL\(^+\) (the query language of the J-CO Framework) for managing fuzzy sets can actually deal with Intuitionistic Fuzzy Sets and Relations. The results will suggest how to extend J-CO-QL\(^+\) to deal with classical and Intuitionistic Fuzzy Sets in an integrated way.KeywordsIntuitionistic Fuzzy Sets and relationsSoft Querying on JSON data setsManaging Intuitionistic Fuzzy Sets in J-CO-QL\(^+\)