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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