Title of article :
2-set-based extended functions
Author/Authors :
Mesiar, R. Department of Mathematics and Descriptive Geometry - Faculty of Civil Engineering - Slovak University of Technology, Slovakia , Kolesarova, A. Institute of Information Engineering - Automation and Mathematics - Faculty of Chemical and Food Technology - Slovak University of Technology, Slovakia , Borkotokey, S. Department of Mathematics - Dibrugarh University, India
Abstract :
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.
Keywords :
Data reduction , set-based extended aggregation function , set-based extended function , 2-set-based extended aggregation function , 2-set-based extended function
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
