Logical-mathematical Operation 'Coherence'.docx

This paper introduces the " Logical-mathematical Operation 'Coherence'," a novel approach to evaluating collective agreement on the truth value of statements. The operation integrates two components: logical-mathematical consistency (C1), which assesses whether individuals agree on the truth or falsity of a statement, and statistical evaluation (C2), which determines the average agreed status of the statement (true, false, or undecided). By combining these aspects, the "Coherence" operation provides a unified framework for analyzing consensus in group decision-making and collective reasoning. The article explores its theoretical foundations, formal definitions, and potential applications in decision theory, and computational modeling of group dynamics.