Mixed-integer linear-fractional programming model and it’s linear analogue for reducing inconsistency of pairwise comparison matrices☆

Pairwise comparison matrices are often used in multicriteria decision making (MCDM). The most critical part of this technique is the inconsistency, which emerges for logical reasons but can cause significant problems during process. Hence it necessary to keep inconsistency below an acceptable threshold. In order support maker (DM) a rational decision, we must mind following: Our suggestion should be as close DM’s original result possible, moreover have low possible. We studied various linear programming (LP) models that reducing pairwise (PCM) (Bozóki et al., 2011, 2015). These models, however aim at fulfilling only one previously mentioned two goals time. Therefore, optimal solutions given may differ from each other respect, not taken objective constraint model. So, they cannot considered equally good wider perspective. Based on our experiences concerning these developed mixed-integer linear-fractional (MILFP) model takes both objectives by combining them into function. also provide analogue (LA) MILFP using appropriate adaptation and combination Charnes-Cooper transformation Glover’s linearization scheme.