Fuzzy Set Theory: A Paradigm Shift in Mathematical Modeling and Analysis

Abstract

Data analysis, data mining, image coding and explaining, and intelligence systems are just a few areas that have benefited from the use of fuzzy sets, a novel conceptual system that supports human-centric frameworks and has shown great promise in modeling human involvement in human-based intelligence. This theory's widespread applicability and fruitful applications are demonstrated by the fact that fuzzy sets have also become a recognized research subject in pure and applied mathematics and statistics. When it comes to mathematical modeling, fuzzy set theory is a strong tool for dealing with ambiguity and uncertainty. This paper walks the reader through the steps of working with a Fuzzy Set and explains why it is so important in many different mathematical modeling applications.