Proceedings of the Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support

Non-Transitive Binary Relation of Preference in the Case of Random Value Functions, Derived from REPOMP

Authors
Natalia D. Nikolova, Snejana Ivanova, Gergana Georgieva, Kiril Tenekedjiev
Corresponding Author
Natalia D. Nikolova
Available Online October 2013.
DOI
https://doi.org/10.2991/.2013.31How to use a DOI?
Keywords
indifference classes, nontransitivity, hypothesis testing, ranking
Abstract
This work analyses decision making situations, where the quantity of the value function associated with the alternatives is a random number with known distribution. The main contribution of the paper is that alternatives are grouped into pseudo indifference classes, where the alternatives are indifferent to at least one of the other alternatives in the class. However, not all elements in the set are indifferent to each other, unlike classical indifference classes. Since the resulting relation of strict preference over pseudo indifference classes turns out to be non-transitive, it is demonstrated both in theory and in terms of an example that it is strongly dependent on the significance level of comparisons in order to allocate alternatives into groups.
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Proceedings
Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support
Part of series
Advances in Intelligent Systems Research
Publication Date
October 2013
ISBN
978-90-78677-86-4
ISSN
1951-6851
DOI
https://doi.org/10.2991/.2013.31How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Natalia D. Nikolova
AU  - Snejana Ivanova
AU  - Gergana Georgieva
AU  - Kiril Tenekedjiev
PY  - 2013/10
DA  - 2013/10
TI  - Non-Transitive Binary Relation of Preference in the Case of Random Value Functions, Derived from REPOMP
BT  - Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support
PB  - Atlantis Press
SP  - 255
EP  - 261
SN  - 1951-6851
UR  - https://doi.org/10.2991/.2013.31
DO  - https://doi.org/10.2991/.2013.31
ID  - Nikolova2013/10
ER  -