{"id":"https://openalex.org/W4214834809","doi":"https://doi.org/10.52280/pujm.2021.531204","title":"Development of the structure of q-Rung Orthopair Fuzzy Hypersoft Set with basic Operations","display_name":"Development of the structure of q-Rung Orthopair Fuzzy Hypersoft Set with basic Operations","publication_year":2021,"publication_date":"2021-12-24","ids":{"openalex":"https://openalex.org/W4214834809","doi":"https://doi.org/10.52280/pujm.2021.531204"},"language":"en","primary_location":{"id":"doi:10.52280/pujm.2021.531204","doi":"https://doi.org/10.52280/pujm.2021.531204","is_oa":true,"landing_page_url":"https://doi.org/10.52280/pujm.2021.531204","pdf_url":"https://doi.org/10.52280/pujm.2021.531204","source":{"id":"https://openalex.org/S4210188119","display_name":"Punjab University Journal of Mathematics","issn_l":"1016-2526","issn":["1016-2526"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319273","host_organization_name":"University of the Punjab","host_organization_lineage":["https://openalex.org/P4310319273"],"host_organization_lineage_names":["University of the Punjab"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Punjab University Journal of Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.52280/pujm.2021.531204","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042616241","display_name":"Salma Khan","orcid":"https://orcid.org/0000-0003-1840-2764","observed_orcids":["https://orcid.org/0000-0003-1840-2764","https://orcid.org/0000-0001-8261-7204"]},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Salma Khan Khan","raw_affiliation_strings":["Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036317129","display_name":"Muhammad Gulistan","orcid":"https://orcid.org/0000-0002-6438-1047","observed_orcids":["https://orcid.org/0000-0002-6438-1047"]},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Gulistan","raw_affiliation_strings":["Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008902744","display_name":"Hafiz Abdul Wahab","orcid":"https://orcid.org/0000-0002-6990-5049","observed_orcids":["https://orcid.org/0000-0002-6990-5049"]},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Hafiz Abdul Wahab","raw_affiliation_strings":["Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I263208278"],"apc_list":null,"apc_paid":null,"fwci":2.7662,"has_fulltext":true,"cited_by_count":35,"citation_normalized_percentile":{"value":0.90648934,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"881","last_page":"892"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":1.0,"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":1.0,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":9.999999747378752e-05,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.0,"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/hypersoft-sets","display_name":"hypersoft sets","score":0.8560000061988831},{"id":"https://openalex.org/keywords/q-rung-orthopair-fuzzy-sets","display_name":"q-rung orthopair fuzzy sets","score":0.921999990940094},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"fuzzy set operations","score":0.6970000267028809},{"id":"https://openalex.org/keywords/union-and-intersection","display_name":"union and intersection","score":0.7310000061988831},{"id":"https://openalex.org/keywords/complement-system","display_name":"complement system","score":0.7710000276565552},{"id":"https://openalex.org/keywords/null-sets","display_name":"null sets","score":0.5799999833106995},{"id":"https://openalex.org/keywords/multi-criteria-decision-making","display_name":"multi-criteria decision making","score":0.6060000061988831}],"concepts":[{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.8228065967559814},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.7287622690200806},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6841842532157898},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5912830829620361},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5781869888305664},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.512591540813446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4846373200416565},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43323853611946106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37264275550842285},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27674973011016846},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.16709333658218384},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0506269633769989},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.52280/pujm.2021.531204","doi":"https://doi.org/10.52280/pujm.2021.531204","is_oa":true,"landing_page_url":"https://doi.org/10.52280/pujm.2021.531204","pdf_url":"https://doi.org/10.52280/pujm.2021.531204","source":{"id":"https://openalex.org/S4210188119","display_name":"Punjab University Journal of Mathematics","issn_l":"1016-2526","issn":["1016-2526"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319273","host_organization_name":"University of the Punjab","host_organization_lineage":["https://openalex.org/P4310319273"],"host_organization_lineage_names":["University of the Punjab"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Punjab University Journal of Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ojs2.pujm.pu.edu.pk:article/307","doi":null,"is_oa":true,"landing_page_url":"https://pujm.pu.edu.pk/index.php/pujm/article/view/307","pdf_url":"https://pujm.pu.edu.pk/index.php/pujm/article/download/307/305","source":{"id":"https://openalex.org/S4210188119","display_name":"Punjab University Journal of Mathematics","issn_l":"1016-2526","issn":["1016-2526"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319273","host_organization_name":"University of the Punjab","host_organization_lineage":["https://openalex.org/P4310319273"],"host_organization_lineage_names":["University of the Punjab"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1016-2526","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.52280/pujm.2021.531204","doi":"https://doi.org/10.52280/pujm.2021.531204","is_oa":true,"landing_page_url":"https://doi.org/10.52280/pujm.2021.531204","pdf_url":"https://doi.org/10.52280/pujm.2021.531204","source":{"id":"https://openalex.org/S4210188119","display_name":"Punjab University Journal of Mathematics","issn_l":"1016-2526","issn":["1016-2526"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319273","host_organization_name":"University of the Punjab","host_organization_lineage":["https://openalex.org/P4310319273"],"host_organization_lineage_names":["University of the Punjab"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Punjab University Journal of Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4214834809.pdf","grobid_xml":"https://content.openalex.org/works/W4214834809.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1969537852","https://openalex.org/W1978352585","https://openalex.org/W1980564456","https://openalex.org/W1989832241","https://openalex.org/W2027277382","https://openalex.org/W2072532761","https://openalex.org/W2075541500","https://openalex.org/W2079457935","https://openalex.org/W2514754342","https://openalex.org/W2746747652","https://openalex.org/W2808872784","https://openalex.org/W3154463771","https://openalex.org/W3199191426","https://openalex.org/W4211007335","https://openalex.org/W6605450533"],"related_works":["https://openalex.org/W2511459981","https://openalex.org/W4319991772","https://openalex.org/W4205413073","https://openalex.org/W6986727158","https://openalex.org/W3114164968","https://openalex.org/W4306836178","https://openalex.org/W4283700045","https://openalex.org/W4291805277","https://openalex.org/W2808872784","https://openalex.org/W6969171411"],"abstract_inverted_index":{"This":[0],"article":[1],"introduces":[2],"a":[3,17],"new":[4],"concept,":[5],"called":[6],"q-rung":[7],"orthopair":[8],"fuzzy":[9],"hypersoft":[10],"set":[11],"(q-ROF":[12],"Hypersoft":[13,28,31,51],"sets).":[14],"We":[15,37],"introduce":[16],"theme":[18],"of":[19,49],"some":[20,55],"fundamental":[21],"operations":[22],"such":[23],"as":[24],"q-ROF":[25,27,30,50],"Hypersoft-subset,":[26],"null-set,":[29],"absolute-set,":[32],"union,":[33],"intersection,":[34],"and":[35,41],"complement.":[36],"also":[38],"present":[39],"\u201dAND\u201d":[40],"\u201dOR\u201d":[42],"operators.":[43],"To":[44],"check":[45],"out":[46],"the":[47],"validity":[48],"sets,":[52],"we":[53],"use":[54],"numerical":[56],"examples":[57]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":6}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-03-05T00:00:00"}
