The Concept of Fuzziness in Mathematics: A Brief Overview

Vagisha Sharma

Abstract: A Poland philosopher, in 1920s, introduced the concept of three-valued logic which was later generalized to four-valued logic and finally to infinite-valued logic. This infinite-valued logic was the idea behind the concept of graded membership initiated by Zadeh (1965) which further gave birth to fuzzy logic. Nowadays, this concept of fuzziness is a popular field of research due to its application oriented significance. The aim of the present paper is to give a very brief overview of this development - from philosophical thought to the theorems.

Keywords: Fuzzy logic, two-valued logic, multi-valued logic, infinite -valued logic, fuzzy metric spaces, fuzzy normed linear spaces, fuzzy Hilbert spaces