Title :
On properties of fuzzy ideals
Author :
Boone Bergamaschi, Flaulles ; Santiago, Regivan H. N.
Author_Institution :
Dept. of Math., UESB, Brazil
Abstract :
The main goal of this paper is to investigate the properties of fuzzy ideals of a ring R. It provides a proof that there exists an isomorphism of lattices of fuzzy ideals when ever the rings are isomorphic. Finite-valued fuzzy ideals are also described and a method is created to count the number of fuzzy ideals in finite and Artinian rings.
Keywords :
fuzzy set theory; Artinian rings; finite rings; finite-valued fuzzy ideals; lattice isomorphism; Bismuth; Electronic mail; Fuzzy sets; Lattices; Manganese; Artinian Rings; Fuzzy ring; fuzzy ideal; fuzzy prime;
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
DOI :
10.1109/IFSA-NAFIPS.2013.6608376
