{"id":"https://openalex.org/W2066213328","doi":"https://doi.org/10.1109/fuzz-ieee.2013.6622326","title":"Domination in bipolar fuzzy graphs","display_name":"Domination in bipolar fuzzy graphs","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2066213328","doi":"https://doi.org/10.1109/fuzz-ieee.2013.6622326","mag":"2066213328"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2013.6622326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2013.6622326","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-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/A5070565696","display_name":"M.G. Karunambigai","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M.G. Karunambigai","raw_affiliation_strings":["Department of Mathematics, Sri Vasavi College, Erode, Tamil Nadu, India","Dept. of Math., Sri Vasavi Coll., Erode, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sri Vasavi College, Erode, Tamil Nadu, India","institution_ids":[]},{"raw_affiliation_string":"Dept. of Math., Sri Vasavi Coll., Erode, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001270995","display_name":"Muhammad Akram","orcid":"https://orcid.org/0000-0001-7217-7962"},"institutions":[{"id":"https://openalex.org/I1323252656","display_name":"Information Technology University","ror":"https://ror.org/00ngv8j44","country_code":"PK","type":"education","lineage":["https://openalex.org/I1323252656"]},{"id":"https://openalex.org/I172780181","display_name":"University of the Punjab","ror":"https://ror.org/011maz450","country_code":"PK","type":"education","lineage":["https://openalex.org/I172780181"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"M. Akram","raw_affiliation_strings":["Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan","College of Information Technology, University of the Punjab, Lahore, Pakistan"],"affiliations":[{"raw_affiliation_string":"Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan","institution_ids":["https://openalex.org/I172780181","https://openalex.org/I1323252656"]},{"raw_affiliation_string":"College of Information Technology, University of the Punjab, Lahore, Pakistan","institution_ids":["https://openalex.org/I172780181","https://openalex.org/I1323252656"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036605744","display_name":"K. Palanivel","orcid":"https://orcid.org/0000-0001-6389-7992"},"institutions":[{"id":"https://openalex.org/I4210092865","display_name":"Oxford Dental College and Hospital","ror":"https://ror.org/00hqbvm92","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210092865"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. Palanivel","raw_affiliation_strings":["Department of Mathematics, Oxford College of Engineering, Bangalore, Karnataka, India","Dept. of Math., Oxford Coll. of Eng., Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Oxford College of Engineering, Bangalore, Karnataka, India","institution_ids":["https://openalex.org/I4210092865"]},{"raw_affiliation_string":"Dept. of Math., Oxford Coll. of Eng., Bangalore, India","institution_ids":["https://openalex.org/I4210092865"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066620553","display_name":"S. Sivasankar","orcid":"https://orcid.org/0000-0003-4083-1960"},"institutions":[{"id":"https://openalex.org/I196608512","display_name":"PES University","ror":"https://ror.org/05m169e78","country_code":"IN","type":"education","lineage":["https://openalex.org/I196608512"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Sivasankar","raw_affiliation_strings":["Department of Science and Humanities, PES Institute of Technology, Bangalore, Karnataka, India","Dept. of Sci. & Humanities, PES Inst. of Technol., Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Department of Science and Humanities, PES Institute of Technology, Bangalore, Karnataka, India","institution_ids":["https://openalex.org/I196608512"]},{"raw_affiliation_string":"Dept. of Sci. & Humanities, PES Inst. of Technol., Bangalore, India","institution_ids":["https://openalex.org/I196608512"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070565696"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9618,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.82271303,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13062","display_name":"Cognitive Computing and Networks","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T13062","display_name":"Cognitive Computing and Networks","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9800999760627747,"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/T13707","display_name":"Literature, Language, and Rhetoric Studies","score":0.9700999855995178,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.7945363521575928},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.566417932510376},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.5571815967559814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5127857327461243},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5095539093017578},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4981117248535156},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41061341762542725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4078992009162903},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40540459752082825},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3789067268371582},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3488500416278839},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.27208274602890015},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2224450409412384},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.16282010078430176},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10471758246421814},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.07394438982009888}],"concepts":[{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.7945363521575928},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.566417932510376},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.5571815967559814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5127857327461243},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5095539093017578},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4981117248535156},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41061341762542725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4078992009162903},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40540459752082825},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3789067268371582},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3488500416278839},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.27208274602890015},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2224450409412384},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.16282010078430176},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10471758246421814},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.07394438982009888},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2013.6622326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2013.6622326","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W1514282523","https://openalex.org/W1555475515","https://openalex.org/W1566493102","https://openalex.org/W1980886530","https://openalex.org/W2015521547","https://openalex.org/W2029795525","https://openalex.org/W2040414111","https://openalex.org/W2043619358","https://openalex.org/W2044765840","https://openalex.org/W2061602850","https://openalex.org/W2155294756","https://openalex.org/W2172162388","https://openalex.org/W2339110959","https://openalex.org/W2489172749","https://openalex.org/W3145072800"],"related_works":["https://openalex.org/W300018836","https://openalex.org/W2935770235","https://openalex.org/W2906881967","https://openalex.org/W2991587872","https://openalex.org/W3118753906","https://openalex.org/W2954109725","https://openalex.org/W2952723382","https://openalex.org/W4301177232","https://openalex.org/W3037291746","https://openalex.org/W2010458966"],"abstract_inverted_index":{"The":[0,23],"concepts":[1],"of":[2,15,25,29],"cardinality,":[3],"dominating":[4,9,13],"set,":[5,7],"independent":[6,12],"total":[8],"number":[10,14,28],"and":[11,21],"bipolar":[16,31],"fuzzy":[17,32],"graphs":[18],"are":[19],"introduced":[20],"investigated.":[22],"notion":[24],"an":[26],"irredundance":[27],"a":[30],"graph":[33],"is":[34],"also":[35],"discussed.":[36]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}