I read in some posts on this website how fuzzy set theory is related to various reall life applications, e.g. computer programming, robotics, etc. I am wondering if anyone who is fairly into fuzzy set theory could provide any pure math applications of fuzzy set theory and NOT real-life applications. By "pure math applications", I mean how it relates to other branches of math, e.g. abstract algebra, analysis, combinatorics, etc. In your opinion, how much value is there in studying fuzzy set theory for pure mathematician?
Same question applies to fuzzy logic. Thank you