{"id":"https://openalex.org/W3150997323","doi":"https://doi.org/10.1142/s1793005721500368","title":"A New Type of Fuzzy Prime Subset in Ordered Semigroups","display_name":"A New Type of Fuzzy Prime Subset in Ordered Semigroups","publication_year":2021,"publication_date":"2021-03-29","ids":{"openalex":"https://openalex.org/W3150997323","doi":"https://doi.org/10.1142/s1793005721500368","mag":"3150997323"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005721500368","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005721500368","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085274577","display_name":"Ahsan Mahboob","orcid":"https://orcid.org/0000-0003-3305-2029"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ahsan Mahboob","raw_affiliation_strings":["Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle 517325, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle 517325, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035644463","display_name":"G. Muhiuddin","orcid":"https://orcid.org/0000-0002-5596-5841"},"institutions":[{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"G. Muhiuddin","raw_affiliation_strings":["Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.717,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.720822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"17","issue":"03","first_page":"739","last_page":"752"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998999834060669,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998999834060669,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9876000285148621,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9724000096321106,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7851158976554871},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.7651835680007935},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6274250149726868},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5789257287979126},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4750542640686035},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3966810703277588},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3267848491668701},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30639389157295227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15128132700920105},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1049039363861084}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7851158976554871},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.7651835680007935},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6274250149726868},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5789257287979126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4750542640686035},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3966810703277588},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3267848491668701},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30639389157295227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15128132700920105},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1049039363861084},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005721500368","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005721500368","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:17:y:2021:i:03:n:s1793005721500368","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005721500368","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W2001185642","https://openalex.org/W2024822974","https://openalex.org/W2046829464","https://openalex.org/W2063962673","https://openalex.org/W2088868818","https://openalex.org/W2093457081","https://openalex.org/W2109385037","https://openalex.org/W2550595562","https://openalex.org/W2805535895","https://openalex.org/W2939567618","https://openalex.org/W2942968443","https://openalex.org/W2943884694","https://openalex.org/W2953446140","https://openalex.org/W3010465253","https://openalex.org/W3117464090","https://openalex.org/W4210457345","https://openalex.org/W4210778630","https://openalex.org/W4211007335","https://openalex.org/W4390938741"],"related_works":["https://openalex.org/W2019004897","https://openalex.org/W2410897890","https://openalex.org/W4252574550","https://openalex.org/W2966199516","https://openalex.org/W2004427275","https://openalex.org/W2962682765","https://openalex.org/W1975759035","https://openalex.org/W1996319902","https://openalex.org/W2921210371","https://openalex.org/W4226325665"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"first":[4],"introduce":[5],"and":[6,32,53],"characterize":[7],"[Formula:":[8,19,25,48,55],"see":[9,20,26,49,56],"text]-fuzzy":[10,27,50],"prime":[11,28,51],"subset":[12,29],"of":[13,23,41,47],"the":[14,18,24,39],"ordered":[15,42],"semigroups.":[16],"Then":[17],"text]-lower":[21,57],"part":[22],"is":[30],"defined":[31],"its":[33],"associated":[34],"properties":[35],"are":[36],"studied.":[37],"Moreover,":[38],"intra-regularity":[40],"semigroups":[43],"characterizes":[44],"in":[45],"terms":[46],"ideals":[52],"their":[54],"parts.":[58]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
