Quotient of Ideals of an Intuitionistic Fuzzy Lattice
نویسندگان
چکیده
منابع مشابه
EMBEDDING OF THE LATTICE OF IDEALS OF A RING INTO ITS LATTICE OF FUZZY IDEALS
We show that the lattice of all ideals of a ring $R$ can be embedded in the lattice of all its fuzzyideals in uncountably many ways. For this purpose, we introduce the concept of the generalizedcharacteristic function $chi _{s}^{r} (A)$ of a subset $A$ of a ring $R$ forfixed $r , sin [0,1] $ and show that $A$ is an ideal of $R$ if, and only if, its generalizedcharacteristic function $chi _{s}^{...
متن کاملIntuitionistic fuzzy Hv-ideals
The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy sets to Hv-rings. We introduce the notion of an intuitionistic fuzzy Hv-ideal of an Hvring and then some related properties are investigated. We state some characterizations of intuitionistic fuzzy Hv-ideals. Also we inv...
متن کاملOn Intuitionistic Fuzzy LI -ideals in Lattice Implication Algebras
In the present paper, the intuitionistic fuzzy LI -ideal theory in lattice implication algebras is further studied. Some new properties and equivalent characterizations of intuitionistic fuzzy LI -ideals are given. Representation theorem of intuitionistic fuzzy LI -ideal which is generated by an intuitionistic fuzzy set is established. It is proved that the set consisting of all intuitionistic ...
متن کامل-intuitionistic (fuzzy ideals, fuzzy soft ideals) of subtraction algebras
The intent of this article is to study the concept of an , k q -intuitionistic fuzzy ideal and , k q -intuitionistic fuzzy soft ideal of subtraction algebras and to introduce some related properties. 2010 AMS Classification: 06F35, 03G25, 08A72.
متن کاملIntuitionistic fuzzy quotient Lie superalgebras
In this paper, the intuitionistic fuzzy Lie sub-superalgebras and ideals of Lie superalgebras are studied further. We define the intuitionistic fuzzy quotient Lie superalgebra by an intuitionistic fuzzy Lie ideal and prove that it is a Lie superalgebra. The intuitionistic fuzzy set of quotient Lie superalgebra is also considered. Finally, solvable intuitionistic fuzzy Lie ideals and nilpotent i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Fuzzy Systems
سال: 2010
ISSN: 1687-7101,1687-711X
DOI: 10.1155/2010/781672