Results 41 to 50 of about 31,898 (193)

Fuzzy small right ideals of rings [PDF]

Journal of Hyperstructures, 2013
We introduce the notion of fuzzy small right ideal,fuzzy small right prime ideal and fuzzy maximal small right ideal in a ring. We have obtained necessary and sufficient condition for a fuzzy small right ideal to be fuzzy small prime right ideal. We have
P. Dheena, G. Mohanraj
doaj   +1 more source

Neutrosophic ℵ-filters in semigroups [PDF]

Neutrosophic Sets and Systems, 2022
Models of universe problems are brimming with complexities and uncertainties in almost every field of study, including engineering, mathematics, medical sciences, computer science, physics, management sciences, artificial intelligence, and operations ...
B. Elavarasan, K. Porselvi, Y. B. Jun, G. Muhiuddin   +3 more
doaj   +1 more source

A Study of Bipolar Fuzzy Prime Ideals of a Lattice

Communications on Applied Nonlinear Analysis
This study explores the investigation of Bipolar Fuzzy Prime Ideals (BFPI) in lattices. We provide a detailed exploration of their properties, characterizations, and associated homomorphisms.
Venkata Kalyani, B. Prasad, A. Iampan
semanticscholar   +1 more source

ℒ-Fuzzy Ideals of Residuated Lattices

Discussiones Mathematicae - General Algebra and Applications, 2019
This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole, Koguep Blaise Blériot, Akume Daniel, Lele Celestin   +3 more
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Fuzzy Spectral Spaces and Fuzzy Congruences of a Heyting ADL

Journal of Mathematics, 2023
In this paper, the space Fp of fuzzy prime ideals of Heyting almost distributive lattice H is studied, and it is shown that the collection of all sets Mη is a topology on Fp, where η is a fuzzy ideal on H and Mη=θ∈Fp|η⊈θ.
Yeshiwas Mebrat Gubena, Teferi Getachew Alemayehu   +1 more
doaj   +1 more source

On Interval Valued Fuzzy Prime Ideals of Γ−semirings

Annals of Communications in Mathematics
In this paper, we introduce the notion of interval valued fuzzy prime ideals of Γ−semirings.We study, some properties of prime ideals of a Γ−semirng in terms of interval valued fuzzy ideals.

semanticscholar   +1 more source

Intuitionistic fuzzy prime ideals of near-subtraction semigroups

Malaya Journal of Matematik, 2019
In this paper, intuitionistic fuzzy strong ideal and intuitionistic fuzzy ideal of a near-subtraction semigroup N is characterized.
P. Murugadas
semanticscholar   +1 more source

On Weakly Prime Fuzzy Ideals of Commutative Rings

Journal of Engineering Technology and Applied Sciences, 2019
In this paper, we present a new notion of fuzzy ideals : called weakly prime fuzzy ideal. Let R be a commutative ring with non-zero identity. A nonconstant fuzzy ideal µ of R is called weakly prime fuzzy ideal if 0_t != x_r y_s ∈ µ implies x_r ∈ µ or y_s ∈ µ for all t ∈ (0, µ(0)]. We investigate some properties of this notion.
Sönmez, Deniz, Yeşilot, Gürsel
openaire   +5 more sources

Rough semigroups and rough fuzzy semigroups based on fuzzy ideals

Open Mathematics, 2016
In this paper, we firstly introduce a special congruence relation U(μ, t) induced by a fuzzy ideal μ in a semigroup S. Then we define the lower and upper approximations based on a fuzzy ideal in semigroups. We can establish rough semigroups, rough ideals,
Wang Qiumei, Zhan Jianming
doaj   +1 more source

FUZZY NEUTROSOPHIC PRIME IDEALS OF BCK-ALGEBRAS [PDF]

Journal of Algebraic Systems
In this research paper, we introduce and analyze the notion of fuzzy neutrosophic prime ideals (FNPIs) in a commutative BCK-algebra $\mathcal{K}$. It represents a further extension of prime ideals in the context of fuzzy neutrosophic sets.
Bavanari Satyanarayana, Shake Baji, Dola Devanandam   +2 more
doaj   +1 more source