Results 31 to 40 of about 17,601 (256)

Generalizations of prime fuzzy ideals of a lattice [PDF]

open access: yesJournal of Hyperstructures, 2020
As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbingideal and a 2-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved.
Yogita Subhash Patil   +1 more
doaj   +1 more source

Neutrosophic Rings I [PDF]

open access: yes, 2011
In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning ...
Agboola A.A.A.   +2 more
core   +1 more source

Proper Fuzzification of Prime Ideals of a Hemiring

open access: yesAdvances in Fuzzy Systems, 2012
Prime fuzzy ideals, prime fuzzy k-ideals, and prime fuzzy h-ideals are roped in one condition. It is shown that this way better fuzzification is achieved. Other major results of the paper are: every fuzzy ideal (resp., k-ideal, h-ideal) is contained in a
H. V. Kumbhojkar
doaj   +1 more source

Neutrosophic ℵ-filters in semigroups [PDF]

open access: yesNeutrosophic 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   +3 more
doaj   +1 more source

On the Content of Polynomials Over Semirings and Its Applications [PDF]

open access: yes, 2015
In this paper, we prove that Dedekind-Mertens lemma holds only for those semimodules whose subsemimodules are subtractive. We introduce Gaussian semirings and prove that bounded distributive lattices are Gaussian semirings.
Huckaba J. A.   +4 more
core   +1 more source

Fuzzy $h$-ideals of hemirings

open access: yes, 2006
A characterization of an $h$-hemiregular hemiring in terms of a fuzzy $h$-ideal is provided. Some properties of prime fuzzy $h$-ideals of $h$-hemiregular hemirings are investigated.
Aho   +22 more
core   +2 more sources

Fuzzy Prime Ideals of ADL's

open access: yesInternational Journal of Computing Science and Applied Mathematics, 2018
In this paper the concept of prime L-fuzzy ideals and L-fuzzy prime ideals of an ADL A with truth values in a complete lattice L satisfying the infinite meet distributive law are introduced. All prime L-fuzzy ideals of a given ADL A are determined by establishing a one-to- one correspondence between prime L-fuzzy ideals of an ADL A and the pairs (P;a),
Ch. Santhi Sundar Raj   +2 more
openaire   +2 more sources

Fuzzy Spectral Spaces and Fuzzy Congruences of a Heyting ADL

open access: yesJournal 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   +1 more
doaj   +1 more source

ℒ-Fuzzy Ideals of Residuated Lattices

open access: yesDiscussiones 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   +3 more
doaj   +1 more source

Rough semigroups and rough fuzzy semigroups based on fuzzy ideals

open access: yesOpen 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

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