{"id":"https://openalex.org/W4391403251","doi":"https://doi.org/10.3390/axioms13020101","title":"Neutrosophic Sub-Group over t-Norm and t-Co-Norm","display_name":"Neutrosophic Sub-Group over t-Norm and t-Co-Norm","publication_year":2024,"publication_date":"2024-01-31","ids":{"openalex":"https://openalex.org/W4391403251","doi":"https://doi.org/10.3390/axioms13020101"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13020101","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13020101","pdf_url":"https://www.mdpi.com/2075-1680/13/2/101/pdf?version=1706701295","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/2/101/pdf?version=1706701295","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067594631","display_name":"Ali Yahya Hummdi","orcid":"https://orcid.org/0000-0002-8516-0868"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ali Yahya Hummdi","raw_affiliation_strings":["Department of Mathematics, King Khalid University, Abha 61471, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Khalid University, Abha 61471, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056043436","display_name":"Mohamed Abdalla","orcid":"https://orcid.org/0000-0002-0165-4992"},"institutions":[{"id":"https://openalex.org/I189575948","display_name":"South Valley University","ror":"https://ror.org/00jxshx33","country_code":"EG","type":"education","lineage":["https://openalex.org/I189575948"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Mohamed Abdalla","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-0165-4992","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt","institution_ids":["https://openalex.org/I189575948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020749736","display_name":"A. Elrawy","orcid":"https://orcid.org/0000-0002-6267-6255"},"institutions":[{"id":"https://openalex.org/I189575948","display_name":"South Valley University","ror":"https://ror.org/00jxshx33","country_code":"EG","type":"education","lineage":["https://openalex.org/I189575948"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Amr Elrawy","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt","institution_ids":["https://openalex.org/I189575948"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020749736"],"corresponding_institution_ids":["https://openalex.org/I189575948"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.6745,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6925642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"13","issue":"2","first_page":"101","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9541000127792358,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6121346354484558},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49956202507019043},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4001378118991852},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36252522468566895},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.23996245861053467},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06703606247901917}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6121346354484558},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49956202507019043},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4001378118991852},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36252522468566895},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.23996245861053467},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06703606247901917}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13020101","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13020101","pdf_url":"https://www.mdpi.com/2075-1680/13/2/101/pdf?version=1706701295","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:83c370ad2457461abecde49f3c677659","is_oa":true,"landing_page_url":"https://doaj.org/article/83c370ad2457461abecde49f3c677659","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 2, p 101 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13020101","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13020101","pdf_url":"https://www.mdpi.com/2075-1680/13/2/101/pdf?version=1706701295","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324433","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391403251.pdf","grobid_xml":"https://content.openalex.org/works/W4391403251.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W58991120","https://openalex.org/W1977987295","https://openalex.org/W1980564456","https://openalex.org/W2140034637","https://openalex.org/W2295353929","https://openalex.org/W2799371241","https://openalex.org/W3138505756","https://openalex.org/W4234976561","https://openalex.org/W4251225685","https://openalex.org/W4383269973","https://openalex.org/W4387303255","https://openalex.org/W4390423144","https://openalex.org/W6602379895","https://openalex.org/W6680434791","https://openalex.org/W6840845964","https://openalex.org/W6859822444"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"This":[0],"study":[1],"employs":[2],"the":[3,21,32,35,40,45],"notions":[4],"of":[5,13,24,44],"t-norms":[6],"and":[7,16,34],"t-co-norms":[8],"to":[9,39],"define":[10],"a":[11],"group":[12],"T-neutrosophic":[14,18],"sub-groups":[15,26],"normal":[17],"subgroups.":[19],"Furthermore,":[20],"different":[22],"properties":[23],"these":[25],"have":[27],"been":[28],"investigated.":[29],"After":[30],"that,":[31],"t-norm":[33],"t-co-norm":[36],"were":[37],"applied":[38],"finite":[41],"direct":[42],"product":[43],"group.":[46]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
