AIAug 29, 2025

Modeling Wise Decision Making: A Z-Number Fuzzy Framework Inspired by Phronesis

arXiv:2508.21517v1h-index: 3
Originality Incremental advance
AI Analysis

This work addresses the need for improved computational models of wisdom in psychology and AI, offering a method to enhance measurement and enable interpretable, confidence-sensitive reasoning, though it is incremental as it builds on existing fuzzy logic and wisdom theories.

The authors tackled the problem of measuring wisdom by developing a fuzzy inference system with Z-numbers to model wisdom as a multidimensional and uncertainty-conscious construct, resulting in a system that produced dual attribute wisdom representations correlating modestly but significantly with established scales while showing negligible relations with unrelated traits.

Background: Wisdom is a superordinate construct that embraces perspective taking, reflectiveness, prosocial orientation, reflective empathetic action, and intellectual humility. Unlike conventional models of reasoning that are rigidly bound by binary thinking, wisdom unfolds in shades of ambiguity, requiring both graded evaluation and self-reflective humility. Current measures depend on self-reports and seldom reflect the humility and uncertainty inherent in wise reasoning. A computational framework that takes into account both multidimensionality and confidence has the potential to improve psychological science and allow humane AI. Method: We present a fuzzy inference system with Z numbers, each of the decisions being expressed in terms of a wisdom score (restriction) and confidence score (certainty). As part of this study, participants (N = 100) were exposed to culturally neutral pictorial moral dilemma tasks to which they generated think-aloud linguistic responses, which were mapped into five theoretically based components of wisdom. The scores of each individual component were combined using a base of 21 rules, with membership functions tuned via Gaussian kernel density estimation. Results: In a proof of concept study, the system produced dual attribute wisdom representations that correlated modestly but significantly with established scales while showing negligible relations with unrelated traits, supporting convergent and divergent validity. Contribution: The contribution is to formalize wisdom as a multidimensional, uncertainty-conscious construct, operationalized in the form of Z-numbers. In addition to progressing measurement in psychology, it calculates how fuzzy Z numbers can provide AI systems with interpretable, confidence-sensitive reasoning that affords a safe, middle ground between rigorous computation and human-like judgment.

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