Practical Algorithm Platform Design for Fuzzy Sets Ranking

This paper investigates a general algorithm to achieve the automation of fuzzy sets ranking. Current methods of finding the maximizing and minimizing fuzzy sets and calculating their difference are manually operated with a large computational complexity, and a universal analytic algorithm is hard to realize. With the inspiration of principles of computer graphics technologies, a novel algorithm of ranking fuzzy sets automatically is proposed, which transforms complex analytic analysis to simple judgments and counting of pixels. Then, a library of fuzzy sets ranking functions is established in the C++ environment, by utilizing the proposed technique in various frequently used ranking methods. Several ranking schemes are illustrated to describe the overall algorithm and its detailed processing procedures. The functionalities of the platform and its applications are explained as well.