http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Crossing intuitionistic KU-ideals on KU-algebras as an extension of bipolar fuzzy sets
Samy M. Mostafa,Ehab f.Adb-elfattah,Mostafa A. Hassan,Young Bae Jun,허걸 원광대학교 기초자연과학연구소 2021 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.22 No.3
The concept crossing intuitionistic structures set is combination of intuitionistic fuzzy set and $N$- function. In this paper, the concept crossing intuitionistic $KU$-ideals are introduced and several properties are investigated. Also, the relations between crossing intuitionistic $KU$-ideals and crossing intuitionistic ideals are given. The image and the pre-image of crossing intuitionistic $KU$-ideals under homomorphism of $KU$-algebras are defined and how the image and the pre-image of crossing intuitionistic KU-ideals under homomorphism of KU-algebras become crossing intuitionistic $KU$-ideals are studied. Moreover, the Cartesian product of crossing intuitionistic $KU$-ideals in Cartesian product $KU$-algebras is established.
Crossing octahedron sets and their applications to Q-algebras
Samy M. Mostafa,S. H. Han,Ehab F. Adb-elfattah,Mostafa A. Hassan,허걸,백종일 원광대학교 기초자연과학연구소 2022 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.23 No.2
A crossing octahedron set is composed of three components : interval-valued fuzzy set, intuitionistic fuzzy set and negative-valued function. In this paper, we first introduce the concept of crossing octahedron set and investigate its properties. Further, we define a crossing octahedron Q-ideal, Q-subalgebra and BCK-ideal of a Q-algebra, and we deal with their relationships. In addition, the homomorphic images and pre-images of a crossing octahedron Q-ideal are also studied. Related properties of crossing octahedron Q-ideals are explored and discussed. Finally, the Cartesian product of two crossing octahedron Q-ideals is investigated.