How General Is Fuzzy Decision Making?

DOI

10.2991/asum.k.210827.038How to use a DOI?

Keywords

Fuzzy decision making, Traditional decision making, Utility

Abstract

In many practical situations, users describe their preferences in imprecise (fuzzy) terms. In such situations, fuzzy techniques are a natural way to describe these preferences in precise terms. Of course, this description is only an approximation to the ideal decision making – that a person would perform if we took time to elicit his/her exact preferences. How accurate is this approximation? When can fuzzy decision making – potentially – describe the exact decision making, and when there is a limit to the accuracy of fuzzy approximations? In this paper, we show that decision making can be precisely described in fuzzy terms if and only if different numerical characteristics describing the alternatives are independent – in the sense that if for two alternatives, all but one characteristics have the same value, then the preference between these two alternatives depends only on the differing characteristic and does not depend on the values of all other characteristics.

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  - Olga Kosheleva
AU  - Vladik Kreinovich
PY  - 2021
DA  - 2021/08/30
TI  - How General Is Fuzzy 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  - 282
EP  - 289
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.038
DO  - 10.2991/asum.k.210827.038
ID  - Kosheleva2021
ER  -