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Fuzzy (Soft) Quasi-Interior Ideals of Semirings [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2022
In this paper‎, ‎as a further generalization of fuzzy ideals‎, ‎we introduce the notion of a fuzzy (soft) quasi-interior ideals of semirings and characterize regular semiring in terms of fuzzy (soft) quasi-interior ideals of semirings‎. ‎We prove that $(\
Arsham Borumand Saeid   +3 more
doaj   +2 more sources

Bi-Interior Ideals of Γ-Semirings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of Γ-semiring and study the properties of bi-interior ideals of Γ-semiring.
Rao Marapureddy Murali Krishna   +1 more
doaj   +4 more sources

Neutrosophic N-interior ideals in semigroups [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
We define the concepts of neutrosophic ℵ -interior ideal and neutrosophic ℵ−characteristic interior ideal structures of a semigroup. We infer different types of semigroups using neutrosophic ℵ-interior ideal structures. We also show that the intersection
K. Porselvi   +2 more
doaj   +2 more sources

Prime bi-interior ideals of Γ-semirings [PDF]

open access: yesJournal of Hyperstructures, 2023
In this paper, we introduce the notion of prime bi-interior ideal, bi-interior ideal,strongly prime bi-interior ideal,semiprime strongly irreducible bi-interior ideal and irreducible bi-interior ideal.we study these ideals properties and relation between
Marapureddy Murali Krishna Rao
doaj   +2 more sources

Intuitionistic fuzzy interior ideals of semigroups [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We consider the intuitionistic fuzzification of the concept of interior ideals in a semigroup S, and investigate some properties of such ideals. For any homomorphism f from a semigroup S to a semigroup T, if B=(μB,γB) is an intuitionistic fuzzy ...
Kyung Ho Kim, Young Bae Jun
doaj   +3 more sources

ON HYBRID INTERIOR IDEALS IN SEMIGROUPS

open access: yesПроблемы анализа, 2019
In this paper, we introduce the notion of hybrid interior ideals and hybrid characteristic interior ideals of a semigroup. We obtain some equivalent conditions for a hybrid structure to be a hybrid interior ideal of a semigroup.
K. Porselvi, B. Elavarasan
doaj   +2 more sources

Fuzzy Ideals and Fuzzy Interior Ideals in Ordered Semirings

open access: yesFuzzy Information and Engineering, 2014
The notions of fuzzy ideals and fuzzy interior ideals in ordered semirings are introduced and some of their characterizations are obtained through regularity criterion and with some operations on them.
Debabrata Mandal
doaj   +2 more sources

Generalized Fuzzy Interior Ideals in Abel Grassmann's Groupoids [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
Using the notion of a fuzzy point and its belongness to and quasicoincidence with a fuzzy subset, some new concepts of a fuzzy interior ideal in Abel Grassmann's groupoids S are introduced and their interrelations and related properties are invesitigated.
Asghar Khan   +2 more
doaj   +3 more sources

Soft intersection almost bi-quasi-interior ideals of semigroups [PDF]

open access: yesJournal of Fuzzy Extension and Applications
Generalizing the ideals of an algebraic structure has shown to be both exciting and valuable to mathematicians. In this context, the concept of Bi-Quasi-Interior Ideal (BQI-ideal) was proposed as a generalization of interior ideal, quasi-ideal, bi-ideal,
Aslıhan Sezgin   +2 more
doaj   +2 more sources

Soft Intersection Bi-interior Ideals of Semigroups

open access: yesJournal of Innovative Science and Engineering
Generalizing the ideals of an algebraic structure has shown to be both beneficial and interesting for mathematicians. In this context, the idea of the bi-interior ideal was introduced as a generalization of the bi-ideal and interior ideal of a semigroup.
Aslihan Sezgin, Aleyna İlgin
doaj   +2 more sources

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