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)

Aggregation Operators for Comparative Possibility Distributions and Their Role in Group Decision Making

Authors
Andrey Zubyuk, Egor Fadeev
Corresponding Author
Andrey Zubyuk
Available Online 30 August 2021.
DOI
https://doi.org/10.2991/asum.k.210827.082How to use a DOI?
Keywords
Qualitative possibility theory, Comparative possibility distribution, Specificity relation, Aggregation operators, Group decision making
Abstract

In this paper, we study an application of qualitative possibility theory to decision making under uncertainty. The word “qualitative” means that uncertainty is modeled using comparative possibility distributions on a universal set Ω. Such a possibility distribution defines how likely each elementary event ω ∈ Ω is compared to others: more likely, less likely, equally likely, absolutely unlikely. Based on the specificity relation introduced in our previous works, we define two operations on comparative possibility distributions: supremum and infimum. In group decision making, each of them can be used to combine possibility distributions representing opinions of different experts on the same subject into a “consensus” possibility distribution which produces the decisions acceptable (in different senses for supremum and infimum) by all the experts involved.

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/).

Download article (PDF)

Cite this article

TY  - CONF
AU  - Andrey Zubyuk
AU  - Egor Fadeev
PY  - 2021
DA  - 2021/08/30
TI  - Aggregation Operators for Comparative Possibility Distributions and Their Role in Group Decision Making
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  - 608
EP  - 615
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.082
DO  - https://doi.org/10.2991/asum.k.210827.082
ID  - Zubyuk2021
ER  -