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

DOI

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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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  - 10.2991/ifsa-eusflat-15.2015.8
ID  - Ramík2015/06
ER  -