Analyzing the relationship between interval-valued D-Implications and interval-valued QL-Implications

Abstract

The aim of this work is to analyze the relationship between interval QLimplications and their contrapositions named interval D-implications.In order to achieve this aim, the commutative classes relating to these concepts are studied.We also analyze under which conditions the main properties corresponding to punctual D-implications and QL-implications are still valid when an interval-based fuzzy approach,on the best interval representation, is considered.