Incomplete preference matrix with elements from an Alo-group and its application to ranking of alternatives
- Jaroslav Ramík
- Corresponding Author
- Jaroslav Ramík
Available Online June 2015.
- https://doi.org/10.2991/ifsa-eusflat-15.2015.8How to use a DOI?
- Multi-Criteria Optimization, Pairwise Comparison, Preference Matrix, Incomplete Matrix, Alo-group.
- 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.
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 -