Geodesic
Principal Intuitionistic Fuzzy Ideals and Filters on a Lattice
Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 1, pp. 75-88

Voir la notice de l'article provenant de la source Library of Science

In this paper, we generalize the notion of principal ideal (resp. filter) on a lattice to the setting of intuitionistic fuzzy sets and investigate their various characterizations and properties. More specifically, we show that any principal intuitionistic fuzzy ideal (resp. filter) coincides with an intuitionistic fuzzy down-set (resp. up-set) generated by an intuitionistic fuzzy singleton. Afterwards, for a given intuitionistic fuzzy set, we introduce two intuitionistic fuzzy sets: its intuitionistic fuzzy down-set and up-set, and we investigate their interesting properties.
Keywords: lattice, intuitionistic fuzzy set, principal intuitionistic fuzzy ideal, principal intuitionistic fuzzy filter 
@article{DMGAA_2020_40_1_a6,
     author = {Boudaoud, Sarra and Zedam, Lemnaouar and Milles, Soheyb},
     title = {Principal {Intuitionistic} {Fuzzy} {Ideals} and {Filters} on a {Lattice}},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {75--88},
     publisher = {mathdoc},
     volume = {40},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a6/}
}
TY  - JOUR
AU  - Boudaoud, Sarra
AU  - Zedam, Lemnaouar
AU  - Milles, Soheyb
TI  - Principal Intuitionistic Fuzzy Ideals and Filters on a Lattice
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2020
SP  - 75
EP  - 88
VL  - 40
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a6/
LA  - en
ID  - DMGAA_2020_40_1_a6
ER  - 
%0 Journal Article
%A Boudaoud, Sarra
%A Zedam, Lemnaouar
%A Milles, Soheyb
%T Principal Intuitionistic Fuzzy Ideals and Filters on a Lattice
%J Discussiones Mathematicae. General Algebra and Applications
%D 2020
%P 75-88
%V 40
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a6/
%G en
%F DMGAA_2020_40_1_a6
Boudaoud, Sarra; Zedam, Lemnaouar; Milles, Soheyb. Principal Intuitionistic Fuzzy Ideals and Filters on a Lattice. Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 1, pp. 75-88. http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a6/