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

Incomplete preference matrix with elements from an Alo-group and its application to ranking of alternatives

Authors
Jaroslav Ramík
Corresponding Author
Jaroslav Ramík
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.8How to use a DOI?
Keywords
Multi-Criteria Optimization, Pairwise Comparison, Preference Matrix, Incomplete Matrix, Alo-group.
Abstract

A preference matrix is the result of pairwise comparison and is a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value from a given scale which is a linearly ordered Abelian group (Alogroup) to any pair of alternatives representing the element of the preference matrix (P-matrix). The well known multiplicative, additive and fuzzy preference matrices are generalized. Some situations where elements of the P-matrix are missing are focused on and a general method for completing a Pmatrix with missing elements called the extension of the P-matrix is proposed. Two important particular cases of fuzzy P-matrix with missing elements are discussed. Some illustrative numerical examples are given.

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
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.8How 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  - Jaroslav Ramík
PY  - 2015/06
DA  - 2015/06
TI  - Incomplete preference matrix with elements from an Alo-group and its application to ranking of 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  - 34
EP  - 41
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.8
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.8
ID  - Ramík2015/06
ER  -