Generalized fuzzy ideals in ordered semirings
نویسندگان
چکیده
Abstract In this paper, we introduce the concepts of $$(\in ,\in \vee (\kappa ^*,q_\kappa ))$$ ( ∈ , ∨ κ ∗ q ) -fuzzy left (right) ideals and in ordered semirings. Some correspondence between (left, right) semirings are presented. Moreover, notion $$(\kappa ^*,\kappa )$$ -lower part is defined characterizations different classes given.
منابع مشابه
Fuzzy Bi-ideals and Fuzzy Quasi-ideals in Ordered Semirings
The notions of fuzzy bi-ideals and fuzzy quasi-ideals in ordered semirings are introduced and some of their characterizations are obtained through regularity criterion.
متن کاملFuzzy filters in ordered $Gamma$-semirings
We introduce the notion of ideal, prime ideal, lter, fuzzy ideal, fuzzy prime ideal, fuzzy lter of ordered $Gamma$-semiring and study their properties and relations between them. We characterize the prime ideals and lters of ordered $Gamma$-semiring with respect to fuzzy ideals and fuzzy l- ters respectively.
متن کاملGeneralized Intuitionistic Fuzzy Ideals of Ordered Semigroups
The notion of intuitionistic fuzzy ideals with thresholds of an ordered semigroup is considered and some of its properties are given. An embedding theorem of the set of all intuitionistic fuzzy ideals with thresholds is presented and the homomorphic images and inverse images of intuitionistic fuzzy ideals with thresholds are studied too. 2010 Mathematics Subject Classification: 06F05
متن کاملFuzzy Ideals and Fuzzy Quasi-ideals in Ternary Semirings
|We introduce the notions of fuzzy ternary subsemiring, fuzzy ideal and quasi-ideal in ternary semirings and study some properties of these two ideals. We also study the properties of fuzzy ideal and fuzzy quasi-ideal of ternary semirings.
متن کاملGeneralized Semi-ideals in Ternary Semirings
We introduce the notion of a generalized semi-ideal in a ternary semiring. Various examples to establish a relationship between ideals, bi-ideals, quasi-ideals and generalized semi-ideals are furnished. A criterion for a commutative ternary semiring without any divisors of zero to a ternary division semiring is given. AMS Mathematics Subject Classification (2010): 16Y60, 16Y99
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: Complex & Intelligent Systems
سال: 2022
ISSN: ['2198-6053', '2199-4536']
DOI: https://doi.org/10.1007/s40747-022-00758-x