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Intelligent systems increasingly provide predictions, recommendations, and explanations in decisions where uncertainty can materially affect interpretation and action. Yet many explainable systems foreground predicted outcomes or feature contributions while inadequately communicating what the model does not know. This article proposes a conceptual uncertainty-aware explainable decision-intelligence framework organized around four connected responsibilities: calibrating confidence, disclosing ambiguity, communicating decision-relevant risk, and supporting selective prediction or abstention when available evidence is insufficient. The framework treats uncertainty as a trustworthiness requirement rather than a secondary technical output. It distinguishes aleatoric uncertainty arising from irreducible variability, epistemic uncertainty associated with limited knowledge or evidence, and distributional uncertainty arising when operating conditions depart from those represented during development. It further connects confidence calibration and miscalibration review with prediction qualification, rejection, abstention, deferral, and human review. Ambiguity disclosure and risk communication are positioned as interpretive functions that should clarify scope limitations, competing interpretations, possible consequences, and appropriate next actions without implying that communication alone guarantees understanding. Human decision support is addressed through escalation pathways, oversight, trust calibration, and evaluation of overreliance, underreliance, automation bias, and cognitive burden. The principal contribution is an integrated framework that links uncertainty identification, calibrated interpretation, selective system behavior, human review, monitoring, and feedback updating. The framework supports conceptual development and domain-specific evaluation but does not independently establish correctness, safety, decision validity, ethical sufficiency, legal compliance, or deployment readiness.