Title :
Fuzzy n-fold Boolean ideals in BL-algebras
Author_Institution :
Dept. of Math., Univ. of Bojnord, Bojnord, Iran
Abstract :
In this paper, we introduce concepts of fuzzy n-fold Boolean ideals in BL-algebras and we state and prove several property of fuzzy n-fold Boolean ideals. Using a level subset of a fuzzy set in a BL-algebra, we give characterization of fuzzy n-fold Boolean ideals. Also, we prove that the homomorphic image and preimage of fuzzy n-fold Boolean ideals are fuzzy n-fold Boolean ideals. Finally, we study relationship among fuzzy n-fold integral, fuzzy n-fold Boolean and fuzzy prime ideals in BL-algebras.
Keywords :
"Multivalued logic","Lattices","Fuzzy logic","Fuzzy sets","Intelligent systems"
Conference_Titel :
Fuzzy and Intelligent Systems (CFIS), 2015 4th Iranian Joint Congress on
DOI :
10.1109/CFIS.2015.7391678
