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This paper introduces a novel extension of the VIseKriterijumska Optimizacija I Kompromisno Resenje extended with Decomposed Fuzzy Sets, denoted as “Decomposed Fuzzy VIKOR,” which aims to address the challenges of inconsistent responses and indecision among decision-makers. As a recent contribution to fuzzy set extensions, Decomposed Fuzzy Set differ from other extensions by employing bidirectional questioning. The aim of bidirectional questioning is to allow decision-makers to provide responses by posing questions that are equivalent in meaning but represent two opposing perspectives: functional (optimistic) and dysfunctional (pessimistic). In this study, six criteria obtained from a comprehensive literature review are considered, and the Decomposed Fuzzy VIseKriterijumska Optimizacija I Kompromisno Resenje method is applied to a cold food supply chain to identify the most suitable alternatives based these criteria. The results are compared with those obtained using the Intuitionistic Fuzzy VIseKriterijumska Optimizacija I Kompromisno Resenje method, revealing the impact of different scenarios on optimal alternatives. The paper concludes by emphasizing the significance of integrating various multi-criteria decision-making methods with Decomposed Fuzzy Set for real-life problem-solving.
