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The Concept of Fuzziness in Mathematics: A Brief Overview

Journal: International Journal of Science and Research (IJSR) (Vol.6, No. 3)

Publication Date:

Authors : ;

Page : 1841-1845

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

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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.

Last modified: 2021-06-30 18:07:59