. "Measuring Consistency and Inconsistency of Pair Comparison Systems"@en . "86893" . "Vlach, Milan" . . "Measuring Consistency and Inconsistency of Pair Comparison Systems" . . . . . "22"^^ . "0023-5954" . . "KYBERNETIKA" . "CZ - \u010Cesk\u00E1 republika" . "In this paper we deal with mathematical modeling of real processes that are based on preference relations in the sense that, for every pair of distinct alternatives, the processes are linked to a value of preference degree of one alternative over the other one. The use of preference relations is usual in decision making, psychology, economics, knowledge acquisition techniques for knowledge-based systems, social choice and many other social sciences. Some theoretical results on relationships between multiplicative and additive representations of preferences on finite sets are presented and some possibilities of measuring their consistency or transitivity are proposed and discussed. Illustrative numerical examples are provided."@en . . . "I, P(ED1.1.00/02.0070), P(GA402/09/0405)" . "[2E58BC81C389]" . "Measuring Consistency and Inconsistency of Pair Comparison Systems" . "multi-criteria optimization; pair-wise comparison matrix; AHP"@en . . . . "1"^^ . "3" . . "17610" . "2"^^ . . . . "RIV/61988987:17610/13:A15015YQ!RIV15-MSM-17610___" . "In this paper we deal with mathematical modeling of real processes that are based on preference relations in the sense that, for every pair of distinct alternatives, the processes are linked to a value of preference degree of one alternative over the other one. The use of preference relations is usual in decision making, psychology, economics, knowledge acquisition techniques for knowledge-based systems, social choice and many other social sciences. Some theoretical results on relationships between multiplicative and additive representations of preferences on finite sets are presented and some possibilities of measuring their consistency or transitivity are proposed and discussed. Illustrative numerical examples are provided." . "49" . . "Ram\u00EDk, Jaroslav" . "Measuring Consistency and Inconsistency of Pair Comparison Systems"@en . "RIV/61988987:17610/13:A15015YQ" .