Generalized deviation functions and construction of aggregation functions

DOI

10.2991/eusflat-19.2019.15How to use a DOI?

Keywords

aggregation function deviation function moderate deviation function penalty function

Abstract

We generalize the concept of moderate deviation functions D : [0,1]² → R into (k + 1)- dimensional moderate deviation function D^(k) : [0,1]^k X [0,1] → R and propose a D^(k)-based method for constructing idempotent aggregation functions. More, to enable to introduce weights of groups of criteria (coordinates) into our construction method, the concept of normed (k + 1)-dimensional moderate deviation functions is proposed and exemplified.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Andrea Stupnanova
AU  - Peter Smrek
PY  - 2019/08
DA  - 2019/08
TI  - Generalized deviation functions and construction of aggregation functions
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 96
EP  - 100
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.15
DO  - 10.2991/eusflat-19.2019.15
ID  - Stupnanova2019/08
ER  -