The Concept of Fuzziness in Mathematics: A Brief Overview
Journal: International Journal of Science and Research (IJSR) (Vol.6, No. 3)Publication Date: 2017-03-05
Authors : Vagisha Sharma;
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;
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.
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