{"id":"https://openalex.org/W2889712314","doi":"https://doi.org/10.3233/jifs-18993","title":"<i>Z</i> -soft rough fuzzy graphs: A new approach to decision making","display_name":"<i>Z</i> -soft rough fuzzy graphs: A new approach to decision making","publication_year":2018,"publication_date":"2018-09-20","ids":{"openalex":"https://openalex.org/W2889712314","doi":"https://doi.org/10.3233/jifs-18993","mag":"2889712314"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-18993","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18993","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","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/A5016589075","display_name":"Nasir Shah","orcid":"https://orcid.org/0000-0001-8811-6021"},"institutions":[{"id":"https://openalex.org/I195024194","display_name":"Riphah International University","ror":"https://ror.org/02kdm5630","country_code":"PK","type":"education","lineage":["https://openalex.org/I195024194"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Nasir Shah","raw_affiliation_strings":["Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I195024194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040353543","display_name":"Nayyar Mehmood","orcid":"https://orcid.org/0000-0003-3661-5712"},"institutions":[{"id":"https://openalex.org/I121243025","display_name":"International Islamic University, Islamabad","ror":"https://ror.org/047w75g40","country_code":"PK","type":"education","lineage":["https://openalex.org/I121243025"]},{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE","PK"],"is_corresponding":false,"raw_author_name":"Nayyar Mehmood","raw_affiliation_strings":["Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan; Department of Mathematical Sciences, United Arab Emirates University, Al-Ain, UAE","Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan; Department of Mathematical Sciences, United Arab Emirates University, Al-Ain, UAE","institution_ids":["https://openalex.org/I121243025","https://openalex.org/I201726411"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I121243025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039637319","display_name":"Noor Rehman","orcid":"https://orcid.org/0000-0003-3094-4865"},"institutions":[{"id":"https://openalex.org/I195024194","display_name":"Riphah International University","ror":"https://ror.org/02kdm5630","country_code":"PK","type":"education","lineage":["https://openalex.org/I195024194"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Noor Rehman","raw_affiliation_strings":["Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I195024194"]}]},{"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, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051834568","display_name":"Muhammad \u0130rfan Ali","orcid":"https://orcid.org/0000-0002-9454-6324"},"institutions":[{"id":"https://openalex.org/I4210159012","display_name":"University College of Islamabad","ror":"https://ror.org/05bbns833","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210159012"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Irfan Ali","raw_affiliation_strings":["Department of Mathematics, Islamabad Model College for Girls, Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Islamabad Model College for Girls, Islamabad, Pakistan","institution_ids":["https://openalex.org/I4210159012"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5016589075"],"corresponding_institution_ids":["https://openalex.org/I195024194"],"apc_list":null,"apc_paid":null,"fwci":0.2019,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54298787,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"4","first_page":"4879","last_page":"4891"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9993000030517578,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.998199999332428,"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":0.9965000152587891,"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/vertex","display_name":"Vertex (graph theory)","score":0.5475503206253052},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.5438057780265808},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47052228450775146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38550522923469543},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38296255469322205},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3429434299468994},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.34040552377700806},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1976083219051361}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5475503206253052},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.5438057780265808},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47052228450775146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38550522923469543},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38296255469322205},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3429434299468994},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.34040552377700806},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1976083219051361}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-18993","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18993","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5600000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W341374992","https://openalex.org/W1479863711","https://openalex.org/W1513353427","https://openalex.org/W1557923305","https://openalex.org/W1579299142","https://openalex.org/W1591618909","https://openalex.org/W1973408437","https://openalex.org/W1978352585","https://openalex.org/W1982907249","https://openalex.org/W1983426508","https://openalex.org/W1989832241","https://openalex.org/W1999693983","https://openalex.org/W2002367458","https://openalex.org/W2007620983","https://openalex.org/W2013506227","https://openalex.org/W2014827534","https://openalex.org/W2027654459","https://openalex.org/W2031978194","https://openalex.org/W2033076221","https://openalex.org/W2041596646","https://openalex.org/W2042560256","https://openalex.org/W2045260678","https://openalex.org/W2051958371","https://openalex.org/W2053749030","https://openalex.org/W2065363019","https://openalex.org/W2069754181","https://openalex.org/W2071796503","https://openalex.org/W2078975878","https://openalex.org/W2083267403","https://openalex.org/W2090660539","https://openalex.org/W2112195158","https://openalex.org/W2118294261","https://openalex.org/W2143040521","https://openalex.org/W2143451122","https://openalex.org/W2165267798","https://openalex.org/W2191274632","https://openalex.org/W2287615047","https://openalex.org/W2314779848","https://openalex.org/W2315241089","https://openalex.org/W2345718956","https://openalex.org/W2435300465","https://openalex.org/W2440590283","https://openalex.org/W2465230368","https://openalex.org/W2473413689","https://openalex.org/W2520155300","https://openalex.org/W2554901072","https://openalex.org/W2562158000","https://openalex.org/W2577376949","https://openalex.org/W2604107963","https://openalex.org/W2609276857","https://openalex.org/W2609812488","https://openalex.org/W2735644745","https://openalex.org/W2769271276","https://openalex.org/W2772265564","https://openalex.org/W2782745135","https://openalex.org/W2788853942","https://openalex.org/W2792068479","https://openalex.org/W2792842476","https://openalex.org/W2797565471","https://openalex.org/W2803008178","https://openalex.org/W2805705178","https://openalex.org/W4255833381","https://openalex.org/W6663829823","https://openalex.org/W6704725776","https://openalex.org/W6758652401","https://openalex.org/W7062030810"],"related_works":["https://openalex.org/W2392963705","https://openalex.org/W2107349454","https://openalex.org/W2382278777","https://openalex.org/W2167403502","https://openalex.org/W2353240132","https://openalex.org/W1587347718","https://openalex.org/W2375932290","https://openalex.org/W1964260090","https://openalex.org/W1486178390","https://openalex.org/W1964755555"],"abstract_inverted_index":{"The":[0,27,54],"aim":[1],"of":[2,17,29,56,66],"this":[3],"paper":[4],"is":[5,25,60],"to":[6,78],"discuss":[7],"the":[8,64],"uncertainty":[9],"in":[10],"soft":[11],"graphs":[12,24,39,45],"and":[13,40,48],"a":[14],"new":[15],"type":[16],"graphs,":[18,34,71],"called":[19],"Z":[20,30,35,41,67],"-soft":[21,31,36,42,68],"rough":[22,32,37,43,69],"fuzzy":[23,44,70],"introduced.":[26],"notions":[28],"vertex":[33],"edge":[38],"are":[46,52],"given,":[47],"their":[49],"related":[50],"properties":[51],"explored.":[53],"theory":[55],"graph":[57],"approximation":[58],"space":[59],"developed.":[61],"To":[62],"validate":[63],"applicability":[65],"we":[72],"put":[73],"forward":[74],"an":[75],"innovative":[76],"approach":[77],"multicriteria":[79],"group":[80],"decision":[81],"making":[82],"problems.":[83]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-02-09T05:59:30.833894","created_date":"2018-09-27T00:00:00"}