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)

Applicability of Ordinal Sums of Conjunctive and Disjunctive Functions in Classification

Authors
Miroslav Hudec, Radko Mesiar, Erika Mináriková
Corresponding Author
Miroslav Hudec
Available Online 30 August 2021.
DOI
10.2991/asum.k.210827.081How to use a DOI?
Keywords
Ordinal sums, Conjunctive functions, Disjunctive functions, Averaging functions, Classification
Abstract

Classification relies on the rules expressed by domain experts, or on the labeled attribute explaining the output classes. However, such information is not always available. In this work, we explore classification according to aggregation functions of mixed behaviour by the variability in ordinal sums of conjunctive and disjunctive functions. By this approach, entities are classified into three classes: yes, no and maybe including inclination to the classes yes and no. By the proposed approach, domain experts (or ordinal users) explain classification linguistically, without stating IF–THEN rules and labeled output. The applicability is illustrated by two examples. The discussion of the results and further research activities conclude the paper.

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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Cite this article

TY  - CONF
AU  - Miroslav Hudec
AU  - Radko Mesiar
AU  - Erika Mináriková
PY  - 2021
DA  - 2021/08/30
TI  - Applicability of Ordinal Sums of Conjunctive and Disjunctive Functions in Classification
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  - 602
EP  - 607
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.081
DO  - 10.2991/asum.k.210827.081
ID  - Hudec2021
ER  -