Research Article
An Introduction to a Family of Fuzzy Subsets forming Boolean algebra
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 68 - Issue 24 |
| Published: April 2013 |
| Authors: Dwiraj Talukdar, Sisir Kumar Rajbongshi |
10.5120/11724-6770
|
Dwiraj Talukdar, Sisir Kumar Rajbongshi . An Introduction to a Family of Fuzzy Subsets forming Boolean algebra. International Journal of Computer Applications. 68, 24 (April 2013), 1-6. DOI=10.5120/11724-6770
@article{ 10.5120/11724-6770,
author = { Dwiraj Talukdar,Sisir Kumar Rajbongshi },
title = { An Introduction to a Family of Fuzzy Subsets forming Boolean algebra },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 68 },
number = { 24 },
pages = { 1-6 },
doi = { 10.5120/11724-6770 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A Dwiraj Talukdar
%A Sisir Kumar Rajbongshi
%T An Introduction to a Family of Fuzzy Subsets forming Boolean algebra%T
%J International Journal of Computer Applications
%V 68
%N 24
%P 1-6
%R 10.5120/11724-6770
%I Foundation of Computer Science (FCS), NY, USA
Abstract
It has been established that the fuzzy sets do not hold the Complement laws of Boolean algebra. The aim of this article is to introduce and study a kind of family of fuzzy subsets of a finite set which holds the Complement laws. The complement operation has redefined for this purpose. Further, it has been established that the introduced fuzzy subsets can form Boolean lattice and also Boolean algebra.
References
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