Some results on antifuzzy ideals of an RG-algebra
AuthorsAreej Tawfeeq Hameed, Suad Abdul Ameer Jasim
JournalAIP Conference Proceedings
Date2025-04-02
AbstractThe concepts of antifuzzy ideals of RG-algebras are introduced and study several basic properties of it. The homomorphism of antifuzzy ideals in RG-algebra are defined.
INTERVAL-VALUED IFAT-IDEALS OF AT-ALGEBRA
AuthorsAreej Tawfeeq Hameed, Esraa Kareem Kadhim
JournalJournal of Physics: Conference Series
AbstractBackground: The interval-valued IFset to AT-ideals on AT-algebras investigated. We
apply the concept interval-valued intuitionistic AT-ideal, and investigate some of their
properties. Materials and Methods: Moreover, Cartesian product of IFAT-ideal, and related
properties. It was extended to IFideal by many literatures studies. Several researchers are studied
the IFKU-ideals in KU- and intuitionistic image. Results: AT-ideals and AT- ideals fuzzy in ATalgebras defined in this study. IFAT-sub algebra showed. In interval-valued IFAT-ideal on ATalgebras. IFAT- sub algebra or (fuzzy AT-ideal) on AT-algebras. Conclusion: It introduced a
Cartesian give to two interval-valued IFAT-ideal on AT-algebras and investigate some important
the structure
Magnified Translation Fuzzy Ideals of KUS-algebras
Authors
Dr. Areej Tawfeeq Hameed
Department of Mathematics, Faculty of Education for Girls, University of Kufa, Iraq.
, Dr. Ahmed Hamzah Abed
1Assistant Professor, Department of Mathematics, College of Basic Education, Kufa University, Iraq.
JournalJournal of Advanced Research in Dynamical and Control Systems
AbstractAbstract.
Fuuzy of magnifiied transletion, fuuzy extension of fuuzy KUS-subalgebera s in
KUS-algrbea s are discussed. Relations among magnifiied transletion fuuzy ideals,
fuuzy extension of fuuzy KUS-ideals are investigated.
The concept of a fuuzy set, was introduced by L.A. Zadeh [8]. Several authors
([5],[6],[9]) have introduced of BCK-algrbea s as a generalization of the concept of
set-theoretic difference and propositional calculus and studied some important
properties. In ([10], [13],[14]), they applied the concept of fuuzy set to BCK/BCIalgrbea
s and gave some of its properties. S.M. Mostafa, and et al [12] introduced
KUS-ideals on KUS-algrbea s and A.T. Hameed [4] introduced the notion
fuuzy KUS-subalgebera s, fuuzy KUS-ideals of KUS-algrbea s investigated
relations among them .S.M. Mostafa, and et al[11]discuss fuuzy α-transletion, fuuzy
S-extension and fuuzy β-multiplication of fuuzy KUS-subalgebera in KUS-algrbea .
And we discuss fuuzy α-transletion, fuuzy extension and fuuzy β-multiplication of
fuuzy KUS-ideal in KUS-algrbea as[7].
In this paper, we discuss fuuzy (β,α)-magnifiied transletions, fuuzy extensions of
fuuzy KUS-subalgebera s in KUS-algrbea s, and we discuss fuuzy (β,α)-magnifiied
transletions, fuuzy extensionof fuuzy KUS-ideals in KUS-algrbea s. Also, we
investigate relations among fuuzy extensions of fuuzy KUS-subalgebera and fuuzy
KUS-ideals in KUS-algrbea s as ([1],[2],[3]).
α-TRANSLATIONS OF INTUITIONISTIC FUZZY (AT-SUBALGEBRAS) AT-IDEALS ON AT-ALGEBRAS
Authors"Dr. Areej Tawfeeq Hameed, Esraa Kareem Kadhim
JournalAlgebra Letter
AbstractAbstract:
In this paper, the concepts of α-translation of intuitionistic fuzzy AT-subalgebras and α-translation of intuitionistic fuzzy AT-ideals on AT-algebras are introduced. The notion of intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of fuzzy AT-ideals with several related properties are investigated. Also the relationships between α-translation of intuitionistic fuzzy, intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of fuzzy AT-ideals are investigated.
Anti – fuzzy AT – ideals of AT – algebras
AuthorsAreej Tawfeeq Hameed
JournalJournal of AL-Qadisiyah for computer science and mathematics
AbstractIn this paper , we introduce the notion of in , several appropriate examples are provided and theirsome properties are investigated. The image and the inverse imageof in are defined and how the of in become are studied. Moreover, the of are given
Cubic AT-Subalgebras and AT-Ideals on AT-Algebra
AuthorsDr. Areej Tawfeeq Hameed
JournalWorld Wide Journal of Multidisciplinary Research and Development
AbstractIn this paper, the notions of cubic AT-ideals and cubic AT-subalgebras in AT-algebras are introduced and several properties are investigated. The image and inverse image of them in AT-algebras are defined and studied.
