International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 6 Issue 3, March 2017 | Popularity: 6.5 / 10


     

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


Edition: Volume 6 Issue 3, March 2017


Pages: 1841 - 1845



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Vagisha Sharma, "The Concept of Fuzziness in Mathematics: A Brief Overview", International Journal of Science and Research (IJSR), Volume 6 Issue 3, March 2017, pp. 1841-1845, https://www.ijsr.net/getabstract.php?paperid=ART20171915, DOI: https://www.doi.org/10.21275/ART20171915