Title :
Uniformly strongly prime fuzzy ideals
Author :
Bergamaschi, Flaulles B. ; Santiago, Regivan H. N.
Author_Institution :
Dept. de Inf. e Mat. Aplic., Univ. Fed. do Rio Grande do Norte, Natal, Brazil
Abstract :
In this paper we define the concept of uniformly strongly prime fuzzy ideal for associative rings with unity. This concept is proposed without dependence of level cuts. We show a pure fuzzy demonstration that all uniformly strongly prime fuzzy ideals are a prime fuzzy ideal according to the newest definition given by Navarro, Cortadellas and Lobillo [1] in 2012. Also, some properties about fuzzy strongly prime radical and their relations with Zadeh´s extension are shown.
Keywords :
fuzzy set theory; group theory; Zadeh´s extension; associative rings; fuzzy strongly prime radical; level cuts; uniformly strongly prime fuzzy ideals; Educational institutions; Fuzzy sets; Insulators; Modules (abstract algebra); Silicon; Structural rings;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2014 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-2073-0
DOI :
10.1109/FUZZ-IEEE.2014.6891731
