New Classes of the Moderate Deviation Functions

DOI

10.2991/asum.k.210827.089How to use a DOI?

Keywords

Moderate deviation function, Automorphism, Negation, Aggregation function, Transformation

Abstract

At present, in the field of aggregation of various input values, attention is focused on the construction of aggregation functions using other functions that can affect the resulting aggregated value. This resulting value should characterize the properties of the individual input values as accurately as possible. Attention is also paid to aggregation using the so-called moderate deviation function. Using this function in aggregation ensures that all properties of aggregation functions are preserved. This work offers constructions of the moderate deviation functions using negations and automorphisms on the symmetric interval [−1, 1] and a general closed interval [a, b] ⊂ [−∞, ∞].

Copyright

© 2021, 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  - Jana Špirková
AU  - Humberto Bustince
AU  - Javier Fernandez
AU  - Mikel Sesma-Sara
PY  - 2021
DA  - 2021/08/30
TI  - New Classes of the Moderate Deviation Functions
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 661
EP  - 666
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.089
DO  - 10.2991/asum.k.210827.089
ID  - Špirková2021
ER  -