Determination of Optimal Pair of Thresholds in Three-Way Decisions using Objective Functions
K M Remesh · International Journal of Advanced Trends in Computer Science and Engineering · 2020
The use of a single threshold for deciding on acceptance or rejection in a probabilistic two-way decision-making process is inappropriate when the available information is uncertain or incomplete.Probabilistic three-way decisions use a pair of thresholds to trisect the universe allowing a more effective and sensible decision-making process.Determination of optimal thresholds in the probabilistic three-way decision-making model minimizes the overall uncertainty of the three regions.This assures the quality of trisections and guides to more valuable and accurate decisions.Quality of trisection can be measured with the use of objective functions.In this paper, the optimal pair of thresholds is determined experimentally by using Shannon entropy and chi-square static as objective functions and are analyzed and compared.