A constructive framework to define fusion functions with floating domains in arbitrary closed real intervals

, although, presenting similar behavior of some aggregation functions whose subclasses are currently defined only in the fuzzy context (e.g., overlap functions and t-norms). So, the main objective of this paper is to present a general framework to characterize classes of fusion functions with floating domains, called -fusion functions, defined on any closed real interval , based on classes of core fusion functions defined on -fusion function. Construction methods are presented, and some properties are studied. We also introduce a framework to define fusion functions in which the inputs come from an interval but the output is mapped on a possibly different interval