. . "RIV/47813059:19520/13:#0002191!RIV14-GA0-19520___" . . "66766" . . "VSP- College of Polytechnics Jihlava" . . . "Consistency versus transitivity in pair-wise comparison matrices" . . "31st International Conference Mathematical Methods in Economics 2013" . . "978-80-87035-76-4" . . "Ram\u00EDk, Jaroslav" . "Consistency versus transitivity in pair-wise comparison matrices"@en . "KISZOV\u00C1, Zuzana" . . . "RIV/47813059:19520/13:#0002191" . "2"^^ . "[F2CD44CC4864]" . "2"^^ . . "Jihlava" . . "Jihlava" . "2013-09-11+02:00"^^ . . "Consistency versus transitivity in pair-wise comparison matrices" . "6"^^ . "Pair-wise comparison matrix is an efficient instrument often used in decision making analysis. Usually, a decision-maker is capable of creating pair-wise comparisons of decision elements forming a pair-wise comparison matrix. Either in multiplicative or in additive approaches there may appear some incompatibilities in the pair-wise comparison matrix - inconsistency and/or intransitivity. These properties do not have to occur simultaneously. Inconsistency and/or intransitivity in multiplicative and additive pair-wise comparisons are detected and measured by using consistency index/ratio, transitivity index/ratio, respectively. In this contribution we propose the way how to transform additive fuzzy pair-wise comparison matrix into multiplicative one for which the consistency index/ratio and transitivity index/ratio are defined. An example illustrating the application of the above mentioned approaches is supplemented." . . . "P(GA402/09/0405)" . . "AHP; decision analysis; fuzzy sets and systems"@en . "19520" . "Consistency versus transitivity in pair-wise comparison matrices"@en . "Pair-wise comparison matrix is an efficient instrument often used in decision making analysis. Usually, a decision-maker is capable of creating pair-wise comparisons of decision elements forming a pair-wise comparison matrix. Either in multiplicative or in additive approaches there may appear some incompatibilities in the pair-wise comparison matrix - inconsistency and/or intransitivity. These properties do not have to occur simultaneously. Inconsistency and/or intransitivity in multiplicative and additive pair-wise comparisons are detected and measured by using consistency index/ratio, transitivity index/ratio, respectively. In this contribution we propose the way how to transform additive fuzzy pair-wise comparison matrix into multiplicative one for which the consistency index/ratio and transitivity index/ratio are defined. An example illustrating the application of the above mentioned approaches is supplemented."@en . .