L-Fuzzy Semiprime Ideals of a Poset

L-Fuzzy Semiprime Ideals of a Poset

In this paper, we introduce the concept of L-fuzzy semiprime ideal in a general poset. Characterizations of L-fuzzy semiprime ideals in posets as well as characterizations of an L-fuzzy semiprime ideal to be L-fuzzy prime ideal are obtained. Also, L-fuzzy prime ideals in a poset are characterized.

Bibliographic Details
Main Authors: Berhanu Assaye Alaba, Derso Abeje Engidaw
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2020/1834970
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spelling doaj-aa3df683550e4592971df649899706a32020-11-25T03:06:15ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2020-01-01202010.1155/2020/18349701834970L-Fuzzy Semiprime Ideals of a PosetBerhanu Assaye Alaba0Derso Abeje Engidaw1Department of Mathematics, Bahir Dar University, Bahir Dar, EthiopiaDepartment of Mathematics, University of Gondar, Gondar, EthiopiaIn this paper, we introduce the concept of L-fuzzy semiprime ideal in a general poset. Characterizations of L-fuzzy semiprime ideals in posets as well as characterizations of an L-fuzzy semiprime ideal to be L-fuzzy prime ideal are obtained. Also, L-fuzzy prime ideals in a poset are characterized.http://dx.doi.org/10.1155/2020/1834970
collection DOAJ
language English
format Article
sources DOAJ
author Berhanu Assaye Alaba
Derso Abeje Engidaw
spellingShingle Berhanu Assaye Alaba
Derso Abeje Engidaw
L-Fuzzy Semiprime Ideals of a Poset
Advances in Fuzzy Systems
author_facet Berhanu Assaye Alaba
Derso Abeje Engidaw
author_sort Berhanu Assaye Alaba
title L-Fuzzy Semiprime Ideals of a Poset
title_short L-Fuzzy Semiprime Ideals of a Poset
title_full L-Fuzzy Semiprime Ideals of a Poset
title_fullStr L-Fuzzy Semiprime Ideals of a Poset
title_full_unstemmed L-Fuzzy Semiprime Ideals of a Poset
title_sort l-fuzzy semiprime ideals of a poset
publisher Hindawi Limited
series Advances in Fuzzy Systems
issn 1687-7101
1687-711X
publishDate 2020-01-01
description In this paper, we introduce the concept of L-fuzzy semiprime ideal in a general poset. Characterizations of L-fuzzy semiprime ideals in posets as well as characterizations of an L-fuzzy semiprime ideal to be L-fuzzy prime ideal are obtained. Also, L-fuzzy prime ideals in a poset are characterized.
url http://dx.doi.org/10.1155/2020/1834970
work_keys_str_mv AT berhanuassayealaba lfuzzysemiprimeidealsofaposet
AT dersoabejeengidaw lfuzzysemiprimeidealsofaposet
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