{"id":"https://openalex.org/W4312105932","doi":"https://doi.org/10.1007/s10462-022-10360-9","title":"Connectivity indices of m-polar fuzzy network model, with an application to a product manufacturing problem","display_name":"Connectivity indices of m-polar fuzzy network model, with an application to a product manufacturing problem","publication_year":2022,"publication_date":"2022-12-21","ids":{"openalex":"https://openalex.org/W4312105932","doi":"https://doi.org/10.1007/s10462-022-10360-9","pmid":"https://pubmed.ncbi.nlm.nih.gov/36567882"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-022-10360-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10462-022-10360-9.pdf","source":{"id":"https://openalex.org/S122814990","display_name":"Artificial Intelligence Review","issn_l":"0269-2821","issn":["0269-2821","1573-7462"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10462-022-10360-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001270995","display_name":"Muhammad Akram","orcid":"https://orcid.org/0000-0001-7217-7962"},"institutions":[{"id":"https://openalex.org/I172780181","display_name":"University of the Punjab","ror":"https://ror.org/011maz450","country_code":"PK","type":"funder","lineage":["https://openalex.org/I172780181"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Akram","raw_affiliation_strings":["Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan","institution_ids":["https://openalex.org/I172780181"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059279038","display_name":"Saba Siddique","orcid":null},"institutions":[{"id":"https://openalex.org/I172780181","display_name":"University of the Punjab","ror":"https://ror.org/011maz450","country_code":"PK","type":"funder","lineage":["https://openalex.org/I172780181"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Saba Siddique","raw_affiliation_strings":["Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan","institution_ids":["https://openalex.org/I172780181"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024802129","display_name":"Jos\u00e9 Carlos R. Alcantud","orcid":"https://orcid.org/0000-0002-4533-9281"},"institutions":[{"id":"https://openalex.org/I184999862","display_name":"Universidad de Salamanca","ror":"https://ror.org/02f40zc51","country_code":"ES","type":"funder","lineage":["https://openalex.org/I184999862"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 Carlos R. Alcantud","raw_affiliation_strings":["BORDA Research Unit and IME, University of Salamanca, 37007, Salamanca, Spain"],"affiliations":[{"raw_affiliation_string":"BORDA Research Unit and IME, University of Salamanca, 37007, Salamanca, Spain","institution_ids":["https://openalex.org/I184999862"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024802129"],"corresponding_institution_ids":["https://openalex.org/I184999862"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":{"value":2490,"currency":"EUR","value_usd":3090},"fwci":2.808,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.886023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":94},"biblio":{"volume":"56","issue":"8","first_page":"7795","last_page":"7838"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10539","display_name":"Sustainable Supply Chain Management","score":0.9948,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10539","display_name":"Sustainable Supply Chain Management","score":0.9948,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9946,"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/T10661","display_name":"biodegradable polymer synthesis and properties","score":0.9552,"subfield":{"id":"https://openalex.org/subfields/2502","display_name":"Biomaterials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/social-connectedness","display_name":"Social Connectedness","score":0.4932477},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.44581297}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.57502204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.54423183},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.54130584},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.53883654},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.51714176},{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.4932477},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.45878816},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.44581297},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41454306},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.35382366},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.30332536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23267719},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07946709},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-022-10360-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10462-022-10360-9.pdf","source":{"id":"https://openalex.org/S122814990","display_name":"Artificial Intelligence Review","issn_l":"0269-2821","issn":["0269-2821","1573-7462"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9768797","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36567882","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":["National Institutes of Health"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10462-022-10360-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10462-022-10360-9.pdf","source":{"id":"https://openalex.org/S122814990","display_name":"Artificial Intelligence Review","issn_l":"0269-2821","issn":["0269-2821","1573-7462"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320325114","funder_display_name":"Consejer\u00eda de Educaci\u00f3n, Junta de Castilla y Le\u00f3n","award_id":"CLU-2019-03"},{"funder":"https://openalex.org/F4320328269","funder_display_name":"Universidad de Salamanca","award_id":null},{"funder":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund","award_id":"CLU-2019-03"}],"datasets":[],"versions":[],"referenced_works_count":36,"referenced_works":["https://openalex.org/W113494934","https://openalex.org/W1565315122","https://openalex.org/W1627023839","https://openalex.org/W172770676","https://openalex.org/W1966463325","https://openalex.org/W1976884664","https://openalex.org/W1980886530","https://openalex.org/W2007700615","https://openalex.org/W2015439528","https://openalex.org/W2028649872","https://openalex.org/W2038662792","https://openalex.org/W2090187739","https://openalex.org/W2113402023","https://openalex.org/W2411988199","https://openalex.org/W2490481354","https://openalex.org/W2508206969","https://openalex.org/W2514450050","https://openalex.org/W2562270022","https://openalex.org/W2591950696","https://openalex.org/W2801499551","https://openalex.org/W2808890614","https://openalex.org/W2897660055","https://openalex.org/W2901760160","https://openalex.org/W2964805353","https://openalex.org/W3046526159","https://openalex.org/W3129038713","https://openalex.org/W3137059091","https://openalex.org/W3170015292","https://openalex.org/W3191657508","https://openalex.org/W3196252993","https://openalex.org/W3202115884","https://openalex.org/W4211007335","https://openalex.org/W4214864398","https://openalex.org/W4225980591","https://openalex.org/W4280508892","https://openalex.org/W857814950"],"related_works":["https://openalex.org/W3152831473","https://openalex.org/W3125761283","https://openalex.org/W3092556108","https://openalex.org/W3044931971","https://openalex.org/W3008541637","https://openalex.org/W2190085401","https://openalex.org/W2164081328","https://openalex.org/W2078521380","https://openalex.org/W1995672666","https://openalex.org/W1976722080"],"abstract_inverted_index":{"Abstract":[0],"Connectivity":[1],"is":[2,64,151,170],"among":[3],"the":[4,24,58,71,99,178],"most":[5],"essential":[6],"concerns":[7],"in":[8,18,102],"graph":[9],"theory":[10,31],"and":[11,50,57,89,114,141,188],"its":[12,87,186],"applications.":[13],"We":[14,34,93],"consider":[15],"this":[16],"issue":[17],"a":[19,75,154],"framework":[20],"that":[21,45,158],"stems":[22],"from":[23,80],"combination":[25],"of":[26,38,40,61,73,126,161],"m":[27,41,82,104,110,116,129,135,142],"-polar":[28,42,83,105,111,117,130,136,143],"fuzzy":[29,43,84,106,112,118,131,137,144],"set":[30],"with":[32,70],"graphs.":[33,119],"introduce":[35,122],"two":[36],"measurements":[37],"connectedness":[39],"graphs":[44],"we":[46,67,121,176],"call":[47],"their":[48],"connectivity":[49,52,88,91,100,132,138,145],"average":[51,90],"indices.":[53,92],"Examples":[54],"are":[55,68],"given,":[56],"theoretical":[59,149],"performance":[60],"these":[62],"concepts":[63],"investigated.":[65],"Particularly,":[66],"concerned":[69],"effect":[72],"deleting":[74],"vertex":[76],"or":[77],"an":[78,81,173],"edge":[79],"graph,":[85],"on":[86],"also":[94],"establish":[95],"bounding":[96],"expressions":[97],"for":[98,167],"index":[101],"complete":[103,108],"graphs,":[107,113],"bipartite":[109],"wheel":[115],"Moreover,":[120],"some":[123],"special":[124],"types":[125],"vertices":[127],"called":[128],"reducing":[133],"vertices,":[134,140],"enhancing":[139],"neutral":[146],"vertices.":[147],"Our":[148],"contribution":[150],"applied":[152],"to":[153,181,184],"product":[155],"manufacturing":[156],"problem":[157],"takes":[159],"advantage":[160],"multi-polar":[162],"uncertain":[163],"information.":[164],"The":[165],"justification":[166],"our":[168],"application":[169],"systematized":[171],"using":[172],"algorithm.":[174],"Finally,":[175],"compare":[177],"proposed":[179],"method":[180],"existing":[182],"methodologies":[183],"demonstrate":[185],"feasibility":[187],"applicability.":[189]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4312105932","counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":4}],"updated_date":"2025-03-30T22:44:43.868820","created_date":"2023-01-04"}