| RAMÍK, Jaroslav. Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements. Fuzzy Sets and Systems An International Journal in Information Science and Engeneering. Amsterdam: Elsevier, 2021, vol. 2021, No 422, p. 68-82. ISSN 0165-0114. Available from: https://dx.doi.org/10.1016/j.fss.2020.11.022. |
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@article{45860,
author = {Ramík, Jaroslav},
article_location = {Amsterdam},
article_number = {422},
doi = {http://dx.doi.org/10.1016/j.fss.2020.11.022},
keywords = {multi-criteria optimization; pair-wise comparisons matrix; fuzzy elements; alo-group},
language = {eng},
issn = {0165-0114},
journal = {Fuzzy Sets and Systems An International Journal in Information Science and Engeneering},
title = {Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements},
url = {http://www.sciencedirect.com/science/article/pii/S0165011420304668?via%3Dihub},
volume = {2021},
year = {2021}
}
TY - JOUR
ID - 45860
AU - Ramík, Jaroslav
PY - 2021
TI - Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements
JF - Fuzzy Sets and Systems An International Journal in Information Science and Engeneering
VL - 2021
IS - 422
SP - 68-82
EP - 68-82
PB - Elsevier
SN - 01650114
KW - multi-criteria optimization
KW - pair-wise comparisons matrix
KW - fuzzy elements
KW - alo-group
UR - http://www.sciencedirect.com/science/article/pii/S0165011420304668?via%3Dihub
N2 - This paper deals with the pairwise comparisons matrix with fuzzy elements (FPCM). Fuzzy elements of the FPCM are applied whenever the decision maker is not sure about the value of his/her evaluation of the relative importance of elements in question. We investigate the pairwise comparisons matrices with elements from abelian linearly ordered group (alo-group) over a real interval, introduce the concept of reciprocity and (weak) consistency of FPCMs and derive their properties. Such an approach unifies several approaches known from the literature. Moreover, we propose a new general procedure for deriving the priority vector from the FPCM enabling ranking or rating a given set of alternatives.
ER -
RAMÍK, Jaroslav. Deriving Priority Vector From Pairwise Comparisons Matrix With Fuzzy Elements. \textit{Fuzzy Sets and Systems An International Journal in Information Science and Engeneering}. Amsterdam: Elsevier, 2021, vol.~2021, No~422, p.~68-82. ISSN~0165-0114. Available from: https://dx.doi.org/10.1016/j.fss.2020.11.022.
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