A Mathematician’s Naive Perspective on Fuzzy Sets and Fuzzy Logic

Abstract

I imagine that when Enric Trillas and Rudolf Seising asked me to contribute to this book, they expected me to provide a naive perspective on fuzzy sets and fuzzy logic from a mathematician’s point of view—they know that I am a mathematician and that I am a novice in this field. As indicated by the title, I shall attempt to comply with their expectation. At the European Center for Soft Computing (ECSC), I continually engage in thought-provoking discussions on various aspects of fuzzy sets and fuzzy logic with prominent researchers in the field, and my perspective on the subject matter continues to evolve. In this essay, I report my nascent thoughts.