On 1-Absorbing Fuzzy Ideals of Commutative Semirings

On 1-Absorbing Fuzzy Ideals of Commutative Semirings

In this study, the algebraic structure of 1-absorbing ideals is first examined and applied to fuzzy sets, along with an investigation into the relationships and algebraic properties between them. The contribution to this work's literature involves examining 1-absorbing fuzzy primary ideals. Fea...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of Engineering Technology and Applied Sciences 2023-12, Vol.8 (3), p.131-141
Hauptverfasser: MEHMET ÖZKAN, Doç. Dr. Erdoğan, ONAR, Serkan, OZKAN, Ayten, KAPLAN, İlayda
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 141
container_issue 3
container_start_page 131
container_title Journal of Engineering Technology and Applied Sciences
container_volume 8
creator MEHMET ÖZKAN, Doç. Dr. Erdoğan
ONAR, Serkan
OZKAN, Ayten
KAPLAN, İlayda
description In this study, the algebraic structure of 1-absorbing ideals is first examined and applied to fuzzy sets, along with an investigation into the relationships and algebraic properties between them. The contribution to this work's literature involves examining 1-absorbing fuzzy primary ideals. Features of 1-absorbing fuzzy primary ideals are explored, and it is demonstrated, for instance, that I is deemed a 1-absorbing fuzzy primary ideal of P if I is a fuzzy primary ideal of P. Additionally, I is considered a 2-absorbing fuzzy primary ideal of P if I is a 1-absorbing fuzzy primary ideal of P. Furthermore, these theorems are elucidated through specific examples.
doi_str_mv 10.30931/jetas.1302897
format Article
fullrecord <record><control><sourceid>crossref</sourceid><recordid>TN_cdi_crossref_primary_10_30931_jetas_1302897</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_30931_jetas_1302897</sourcerecordid><originalsourceid>FETCH-LOGICAL-c797-dfbf751cd581328c8360849d8a7a88089e0564f859f45beb67d0a37337810aab3</originalsourceid><addsrcrecordid>eNpNj8FqwzAQREVpoSHNtWf9gF2tV7JWx2CaNhDIIbkLyZaKSx0XySkkX9-Q5tDTDMxj4DH2DKJEYRBePsPkcgkoKjL6js0qJakQaOD-X39ki5x7LxAUkFQwY3J74FAsfR6T7w8ffHU8n0983QX3lfkYeTMOw3FyU_8T-C4MfbpA-Yk9xMseFrecs_3qdd-8F5vt27pZbopWG1100UetoO0UAVbUEtaCpOnIaUckyAShahlJmSiVD77WnXCoETWBcM7jnJV_t20ac04h2u_UDy6dLAh7tbZXa3uzxl9ZqUoH</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On 1-Absorbing Fuzzy Ideals of Commutative Semirings</title><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><creator>MEHMET ÖZKAN, Doç. Dr. Erdoğan ; ONAR, Serkan ; OZKAN, Ayten ; KAPLAN, İlayda</creator><creatorcontrib>MEHMET ÖZKAN, Doç. Dr. Erdoğan ; ONAR, Serkan ; OZKAN, Ayten ; KAPLAN, İlayda</creatorcontrib><description>In this study, the algebraic structure of 1-absorbing ideals is first examined and applied to fuzzy sets, along with an investigation into the relationships and algebraic properties between them. The contribution to this work's literature involves examining 1-absorbing fuzzy primary ideals. Features of 1-absorbing fuzzy primary ideals are explored, and it is demonstrated, for instance, that I is deemed a 1-absorbing fuzzy primary ideal of P if I is a fuzzy primary ideal of P. Additionally, I is considered a 2-absorbing fuzzy primary ideal of P if I is a 1-absorbing fuzzy primary ideal of P. Furthermore, these theorems are elucidated through specific examples.</description><identifier>ISSN: 2548-0391</identifier><identifier>EISSN: 2548-0391</identifier><identifier>DOI: 10.30931/jetas.1302897</identifier><language>eng</language><ispartof>Journal of Engineering Technology and Applied Sciences, 2023-12, Vol.8 (3), p.131-141</ispartof><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c797-dfbf751cd581328c8360849d8a7a88089e0564f859f45beb67d0a37337810aab3</cites><orcidid>0000-0003-3084-7694 ; 0000-0003-2341-6626 ; 0000-0002-3948-1943 ; 0000-0002-6198-1573</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,782,786,27931,27932</link.rule.ids></links><search><creatorcontrib>MEHMET ÖZKAN, Doç. Dr. Erdoğan</creatorcontrib><creatorcontrib>ONAR, Serkan</creatorcontrib><creatorcontrib>OZKAN, Ayten</creatorcontrib><creatorcontrib>KAPLAN, İlayda</creatorcontrib><title>On 1-Absorbing Fuzzy Ideals of Commutative Semirings</title><title>Journal of Engineering Technology and Applied Sciences</title><description>In this study, the algebraic structure of 1-absorbing ideals is first examined and applied to fuzzy sets, along with an investigation into the relationships and algebraic properties between them. The contribution to this work's literature involves examining 1-absorbing fuzzy primary ideals. Features of 1-absorbing fuzzy primary ideals are explored, and it is demonstrated, for instance, that I is deemed a 1-absorbing fuzzy primary ideal of P if I is a fuzzy primary ideal of P. Additionally, I is considered a 2-absorbing fuzzy primary ideal of P if I is a 1-absorbing fuzzy primary ideal of P. Furthermore, these theorems are elucidated through specific examples.</description><issn>2548-0391</issn><issn>2548-0391</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNpNj8FqwzAQREVpoSHNtWf9gF2tV7JWx2CaNhDIIbkLyZaKSx0XySkkX9-Q5tDTDMxj4DH2DKJEYRBePsPkcgkoKjL6js0qJakQaOD-X39ki5x7LxAUkFQwY3J74FAsfR6T7w8ffHU8n0983QX3lfkYeTMOw3FyU_8T-C4MfbpA-Yk9xMseFrecs_3qdd-8F5vt27pZbopWG1100UetoO0UAVbUEtaCpOnIaUckyAShahlJmSiVD77WnXCoETWBcM7jnJV_t20ac04h2u_UDy6dLAh7tbZXa3uzxl9ZqUoH</recordid><startdate>20231231</startdate><enddate>20231231</enddate><creator>MEHMET ÖZKAN, Doç. Dr. Erdoğan</creator><creator>ONAR, Serkan</creator><creator>OZKAN, Ayten</creator><creator>KAPLAN, İlayda</creator><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-3084-7694</orcidid><orcidid>https://orcid.org/0000-0003-2341-6626</orcidid><orcidid>https://orcid.org/0000-0002-3948-1943</orcidid><orcidid>https://orcid.org/0000-0002-6198-1573</orcidid></search><sort><creationdate>20231231</creationdate><title>On 1-Absorbing Fuzzy Ideals of Commutative Semirings</title><author>MEHMET ÖZKAN, Doç. Dr. Erdoğan ; ONAR, Serkan ; OZKAN, Ayten ; KAPLAN, İlayda</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c797-dfbf751cd581328c8360849d8a7a88089e0564f859f45beb67d0a37337810aab3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><toplevel>online_resources</toplevel><creatorcontrib>MEHMET ÖZKAN, Doç. Dr. Erdoğan</creatorcontrib><creatorcontrib>ONAR, Serkan</creatorcontrib><creatorcontrib>OZKAN, Ayten</creatorcontrib><creatorcontrib>KAPLAN, İlayda</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of Engineering Technology and Applied Sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>MEHMET ÖZKAN, Doç. Dr. Erdoğan</au><au>ONAR, Serkan</au><au>OZKAN, Ayten</au><au>KAPLAN, İlayda</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On 1-Absorbing Fuzzy Ideals of Commutative Semirings</atitle><jtitle>Journal of Engineering Technology and Applied Sciences</jtitle><date>2023-12-31</date><risdate>2023</risdate><volume>8</volume><issue>3</issue><spage>131</spage><epage>141</epage><pages>131-141</pages><issn>2548-0391</issn><eissn>2548-0391</eissn><abstract>In this study, the algebraic structure of 1-absorbing ideals is first examined and applied to fuzzy sets, along with an investigation into the relationships and algebraic properties between them. The contribution to this work's literature involves examining 1-absorbing fuzzy primary ideals. Features of 1-absorbing fuzzy primary ideals are explored, and it is demonstrated, for instance, that I is deemed a 1-absorbing fuzzy primary ideal of P if I is a fuzzy primary ideal of P. Additionally, I is considered a 2-absorbing fuzzy primary ideal of P if I is a 1-absorbing fuzzy primary ideal of P. Furthermore, these theorems are elucidated through specific examples.</abstract><doi>10.30931/jetas.1302897</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0003-3084-7694</orcidid><orcidid>https://orcid.org/0000-0003-2341-6626</orcidid><orcidid>https://orcid.org/0000-0002-3948-1943</orcidid><orcidid>https://orcid.org/0000-0002-6198-1573</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 2548-0391
ispartof Journal of Engineering Technology and Applied Sciences, 2023-12, Vol.8 (3), p.131-141
issn 2548-0391
2548-0391
language eng
recordid cdi_crossref_primary_10_30931_jetas_1302897
source Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals
title On 1-Absorbing Fuzzy Ideals of Commutative Semirings
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-04T06%3A54%3A14IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%201-Absorbing%20Fuzzy%20Ideals%20of%20Commutative%20Semirings&rft.jtitle=Journal%20of%20Engineering%20Technology%20and%20Applied%20Sciences&rft.au=MEHMET%20%C3%96ZKAN,%20Do%C3%A7.%20Dr.%20Erdo%C4%9Fan&rft.date=2023-12-31&rft.volume=8&rft.issue=3&rft.spage=131&rft.epage=141&rft.pages=131-141&rft.issn=2548-0391&rft.eissn=2548-0391&rft_id=info:doi/10.30931/jetas.1302897&rft_dat=%3Ccrossref%3E10_30931_jetas_1302897%3C/crossref%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true