Statistical Analysis of Fuzzy Latin Square Design with Exponential Trapezoidal Fuzzy Numbers on Analgesia in Clinical Trial
DOI:
https://doi.org/10.62054/ijdm/0301.17Abstract
This study evaluates and validates an innovative framework integrating Fuzzy Latin Square Design (LSD) with Exponential Trapezoidal Fuzzy Numbers (ETZFNs) to enhance the statistical analysis of clinical trials characterized by subjective, vague, or uncertain data, specifically in postoperative pain management. This research extends classical LSD by incorporating fuzzy set theory, explicitly representing data uncertainty through ETZFNs. A retrospective dataset of 64 postoperative Visual Analog Scale (VAS) scores was transformed into ETZFNs, capturing the range and most plausible values of pain perception. An 8×8 balanced Latin Square was constructed, blocking for eight surgical types (rows) and eight patient age groups (columns), with eight analgesic regimens as treatments. The ETZFNs were defuzzified into crisp median values using Rezvani's formula, enabling conventional statistical analysis. The integrated fuzzy-statistical framework successfully translated statistical outcomes into clinically interpretable, actionable recommendations for pain management.
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Copyright (c) 2026 Abba Ibrahim, Adamu Abubakar, Bello A. Rasheed (Author)
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