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

Sweta Kaman, Ankita Sharma, Romi Banerjee
8/29/2025
cs.AI

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Abstract

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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Cite this paper

@article{kaman2025modeling,
  title  = {Modeling Wise Decision Making: A Z-Number Fuzzy Framework Inspired by Phronesis},
  author = {Sweta Kaman and Ankita Sharma and Romi Banerjee},
  year   = {2025},
  eprint = {2508.21517},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2508.21517v1}
}

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