Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

On Consistency of Decision Goals and Separability of Preferences of Decision Alternatives

Authors
Rudolf Felix
Corresponding Author
Rudolf Felix
Available Online June 2015.
DOI
10.2991/ifsa-eusflat-15.2015.119How to use a DOI?
Keywords
Decision making, preference relations, sep-arability of preferences, interactions between goals, ef-ficient optimization heuristics.
Abstract

The paper shows how a specific notion of consistency based on a definition of interactions of decision goals is linked with the notion of separability. Subsets of deci-sion alternatives for which additive aggregation as deci-sion making concept is allowed are systematically iden-tified. These subsets contain alternatives compatible with their preferences and are explicitly calculated in polynomial time. Linear preference information given separately for every single goal turns out to be suffi-cient in order to describe the input preferences. Despite of this linearity heuristics serving for the resolution of multidimensional decision and optimization problems with interacting goals can be formulated.

Copyright
© 2015, 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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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
10.2991/ifsa-eusflat-15.2015.119
ISSN
1951-6851
DOI
10.2991/ifsa-eusflat-15.2015.119How to use a DOI?
Copyright
© 2015, 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/).

Cite this article

TY  - CONF
AU  - Rudolf Felix
PY  - 2015/06
DA  - 2015/06
TI  - On Consistency of Decision Goals and Separability of Preferences of Decision Alternatives
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 844
EP  - 850
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.119
DO  - 10.2991/ifsa-eusflat-15.2015.119
ID  - Felix2015/06
ER  -