. "[3E1C7D61CC13]" . . "Jind\u0159ich\u016Fv Hradec" . "Proceedings of the 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty CJS 2013" . "RIV/47813059:19520/13:#0002182!RIV14-GA0-19520___" . . . "A fuzzy preference matrix is the result of pair-wise comparison a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value between 0 and 1 to any pair of alternatives representing the element of the fuzzy preference matrix. Here, we investigate relations between transitivity and consistency of fuzzy pref- erence matrices and multiplicative preference ones. The obtained results are applied to situations where some elements of the fuzzy preference matrix are missing. We propose a new method for completing fuzzy matrix with missing elements called the extension of the fuzzy preference matrix. We investigate some important particular cases of fuzzy preference matrix with missing elements. Consequently, by the eigenvector of the transformed matrix we obtain the corresponding priority vector. Illustrative numerical examples are supplemented."@en . "2013-09-19+02:00"^^ . "Mari\u00E1nsk\u00E9 L\u00E1zn\u011B" . . . . "2"^^ . "Additively and Multiplicatively Transitive Fuzzy Relations in Ranking of Alternatives"@en . . "2"^^ . . "19520" . "Faculty of Management Jind\u0159ich\u016Fv Hradec, University of Economics Praha" . "16"^^ . "Additively and Multiplicatively Transitive Fuzzy Relations in Ranking of Alternatives"@en . "Additively and Multiplicatively Transitive Fuzzy Relations in Ranking of Alternatives" . "P(GA402/09/0405)" . "ranking of alternatives; fuzzy relation; additive and multiplicative transitivity"@en . . "Additively and Multiplicatively Transitive Fuzzy Relations in Ranking of Alternatives" . . "RIV/47813059:19520/13:#0002182" . . "A fuzzy preference matrix is the result of pair-wise comparison a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value between 0 and 1 to any pair of alternatives representing the element of the fuzzy preference matrix. Here, we investigate relations between transitivity and consistency of fuzzy pref- erence matrices and multiplicative preference ones. The obtained results are applied to situations where some elements of the fuzzy preference matrix are missing. We propose a new method for completing fuzzy matrix with missing elements called the extension of the fuzzy preference matrix. We investigate some important particular cases of fuzzy preference matrix with missing elements. Consequently, by the eigenvector of the transformed matrix we obtain the corresponding priority vector. Illustrative numerical examples are supplemented." . "978-80-245-1950-0" . "59527" . . . "Ram\u00EDk, Jaroslav" . . . . . "KORVINY, Petr" .