The main goal of this paper is to study quantales in the framework of intuitionistic fuzzy left (right) ideals. The notions of intuitionistic fuzzy left (right) ideals are introduced, and the related properties are investigated. The concept of lower (resp. upper) level cut is provided and the characterizations of intuitionistic fuzzy left (right) ideals are studied. The notions of intuitionistic fuzzy product is considered and their properties related to intuitionistic fuzzy left (right) ideals are studied. Using the notions of intuitionistic fuzzy left (right) ideals, the main theorems for a regular quantale is investigated.
@article{5055,
title = {Atanassov's intuitionistic fuzzy set theory applied to quantales},
journal = {Novi Sad Journal of Mathematics},
volume = {46},
year = {2017},
language = {EN},
url = {http://dml.mathdoc.fr/item/5055}
}
Khan, Asghar; Khan, Mohsin; Davvaz, Bijan. Atanassov's intuitionistic fuzzy set theory applied to quantales. Novi Sad Journal of Mathematics, Tome 46 (2017) . http://gdmltest.u-ga.fr/item/5055/