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۲-set-based extended functions

مجله سیستم های فازی، دوره: 18، شماره: 3
Year: 1400
COI: JR_IJFS-18-3_003
Language: EnglishView: 50
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R. Mesiar - Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinskeho ۱۱, ۸۱۰ ۰۵ Bratislava, Slovakia
A. Kolesarova - Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology, Radlinskeho ۹, ۸۱۲ ۳۷ Bratislava, Slovakia
S. Borkotokey - Department of Mathematics, Dibrugarh University, Dibrugarh - ۷۸۶۰۰۴, India


We generalize set-based extended functions, recently introduced by Mesiar et al., into ۲-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 ۲-set-based extended functions, in particular,  ۲-set-based extended aggregation functions, including t-norms, t-conorms, uninorms, nullnorms and OWA operators.


Data reduction , set-based extended aggregation function , set-based extended function , ۲-set-based extended aggregation function , ۲-set-based extended function

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Mesiar, R. and Kolesarova, A. and Borkotokey, S.,1400,۲-set-based extended functions,

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