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.
Open Access
This is an open access article distributed under the CC BY-NC license.

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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  - 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15)
PB  - Atlantis Press
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  -