Formalizing the informal, precisiating the imprecise: How fuzzy logic can help mathematicians and physicists by formalizing their intuitive ideas

Abstract

Fuzzy methodology transforms expert ideas—formulated in terms of words from natural language—into precise rules and formulas. In this paper,we show that by applying this methodology to intuitive physical and mathematical ideas, we can get known fundamental physical equations and known mathematical techniques for solving these equations. This fact makes us confident that in the future, fuzzy techniques will help physicists and mathematicians to transform their imprecise ideas into new physical equations and new techniques for solving these equations.