2-set-based extended functions

Document Type : Research Paper


1 Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinskeho 11, 810 05 Bratislava, Slovakia

2 Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology, Radlinskeho 9, 812 37 Bratislava, Slovakia

3 Department of Mathematics, Dibrugarh University, Dibrugarh - 786004, India


We generalize set-based extended functions, recently introduced by Mesiar et al., into 2-set-based extended functions. In both cases, an efficient reduction of repeated  data to be fused is considered which prepares a sound background for big data processing. We discuss and study several types of 2-set-based extended functions, in particular,  2-set-based extended aggregation functions, including t-norms, t-conorms, uninorms, nullnorms and OWA operators.