Numerous multicriteria decision-making (MCDM) methods have been proposed to support decision making: the evaluation and selection of alternatives based on multiple criteria. This study proposes a new three-factor fuzzy information channel model by expanding a two-factor fuzzy information channel model for MCDM problems. The two-factor fuzzy information channel model estimates criteria selection ratios for two selection criteria: one quantitative crisp criterion and one qualitative fuzzy criterion. We propose a three-factor fuzzy information channel model (model 1, weightless) to handle three criteria by increasing the number of qualitative fuzzy criteria to two. Next, we propose a weighted fuzzy information channel model (model 2, weighted) that considers the subjective weights of decision makers (DMs) for criteria. The proposed models resolve MCDM problems based on randomness-fuzziness entropy using both entropy for randomness and entropy for fuzziness, and can estimate the selection ratios of criteria based on a simple model. We study the performance of the proposed models by comparing them with the fuzzy multiobjective linear model, which is another MCDM method, using a practical supplier selection example.