{"id":"https://openalex.org/W4391512380","doi":"https://doi.org/10.1142/s179300572550019x","title":"A Study on Rough Fuzzy Bipolar Soft Ideals in Semigroups","display_name":"A Study on Rough Fuzzy Bipolar Soft Ideals in Semigroups","publication_year":2024,"publication_date":"2024-02-03","ids":{"openalex":"https://openalex.org/W4391512380","doi":"https://doi.org/10.1142/s179300572550019x"},"language":"en","primary_location":{"id":"doi:10.1142/s179300572550019x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179300572550019x","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/A5074018508","display_name":"Nosheen Malik","orcid":null},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Nosheen Malik","raw_affiliation_strings":["Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078902055","display_name":"Muhammad Shabir","orcid":"https://orcid.org/0000-0002-3161-8482"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Shabir","raw_affiliation_strings":["Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023804984","display_name":"Rizwan Gul","orcid":"https://orcid.org/0000-0002-6139-1872"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Rizwan Gul","raw_affiliation_strings":["Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I12469534"],"apc_list":null,"apc_paid":null,"fwci":1.1926,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78455925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"21","issue":"02","first_page":"415","last_page":"455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9703999757766724,"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":0.9703999757766724,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6517553925514221},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5793718099594116},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5195313096046448},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46794193983078003},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3218643367290497},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15408626198768616}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6517553925514221},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5793718099594116},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5195313096046448},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46794193983078003},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3218643367290497},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15408626198768616}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179300572550019x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179300572550019x","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W87318310","https://openalex.org/W1816074831","https://openalex.org/W1965795249","https://openalex.org/W1978352585","https://openalex.org/W1983426508","https://openalex.org/W1993397290","https://openalex.org/W1998857926","https://openalex.org/W2005739429","https://openalex.org/W2007620983","https://openalex.org/W2012680835","https://openalex.org/W2021098434","https://openalex.org/W2023441160","https://openalex.org/W2027654459","https://openalex.org/W2036593034","https://openalex.org/W2044496841","https://openalex.org/W2050175730","https://openalex.org/W2069754181","https://openalex.org/W2071796503","https://openalex.org/W2071844871","https://openalex.org/W2073669694","https://openalex.org/W2079445480","https://openalex.org/W2080968840","https://openalex.org/W2083267403","https://openalex.org/W2105450752","https://openalex.org/W2132290542","https://openalex.org/W2156982617","https://openalex.org/W2261645628","https://openalex.org/W2397057252","https://openalex.org/W2435300465","https://openalex.org/W2767014154","https://openalex.org/W2793481158","https://openalex.org/W2935914042","https://openalex.org/W2963853339","https://openalex.org/W3033560154","https://openalex.org/W3035834491","https://openalex.org/W3169056401","https://openalex.org/W4210778630","https://openalex.org/W4211007335","https://openalex.org/W4225127402","https://openalex.org/W4255833381","https://openalex.org/W4302773455","https://openalex.org/W4319971696","https://openalex.org/W4361291544"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"The":[0,35],"theories":[1],"of":[2,38,46,59,62,140],"rough":[3,47,63,105,110,117,138],"sets":[4,8,25,67],"(RSs)":[5],"and":[6,30,93,116,130,153],"soft":[7,24,50,66,108,113,120,143],"(SSs)":[9],"are":[10,134,149],"practical":[11],"mathematical":[12],"techniques":[13],"to":[14,42,103],"accommodate":[15],"data":[16],"uncertainty.":[17],"On":[18],"the":[19,44,60,75,78,91,99,104],"other":[20],"hand,":[21],"fuzzy":[22,48,64,80,106,111,118,141],"bipolar":[23,49,65,79,107,112,119,142],"(FBSSs)":[26],"can":[27],"address":[28],"uncertainty":[29],"bipolarity":[31],"in":[32,52,68,77,122,136],"various":[33],"situations.":[34],"key":[36],"objective":[37],"this":[39],"study":[40],"is":[41,56,101,126],"establish":[43],"notions":[45],"ideals":[51],"semigroup":[53],"(SG),":[54],"which":[55],"an":[57],"extension":[58],"idea":[61,100],"a":[69,85],"SG.":[70],"Also,":[71],"we":[72],"have":[73],"analyzed":[74],"roughness":[76],"subsemigroup":[81],"(BF-SSG)":[82],"by":[83],"employing":[84],"congruence":[86],"relation":[87],"(CR)":[88],"defined":[89],"on":[90],"SG":[92],"investigating":[94],"several":[95],"related":[96,147],"characteristics.":[97],"Further,":[98],"expanded":[102],"ideal,":[109,115],"interior":[114],"bi-ideal":[121],"SGs.":[123],"Moreover,":[124],"it":[125],"observed":[127],"that":[128],"CR":[129,132],"complete":[131],"(CCR)":[133],"critical":[135],"developing":[137],"approximations":[139],"ideals.":[144],"Therefore,":[145],"their":[146],"characteristics":[148],"studied":[150],"via":[151],"CRs":[152],"CCRs.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
