{"id":"https://openalex.org/W4400913747","doi":"https://doi.org/10.3233/kes-240290","title":"Eternal 1-security number of a fuzzy graph with level J","display_name":"Eternal 1-security number of a fuzzy graph with level J","publication_year":2024,"publication_date":"2024-07-23","ids":{"openalex":"https://openalex.org/W4400913747","doi":"https://doi.org/10.3233/kes-240290"},"language":"en","primary_location":{"id":"doi:10.3233/kes-240290","is_oa":false,"landing_page_url":"https://doi.org/10.3233/kes-240290","pdf_url":null,"source":{"id":"https://openalex.org/S133764092","display_name":"International Journal of Knowledge-based and Intelligent Engineering Systems","issn_l":"1327-2314","issn":["1327-2314","1875-8827"],"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":"International Journal of Knowledge-Based and Intelligent Engineering 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/A5083364915","display_name":"Mary Jiny D","orcid":"https://orcid.org/0000-0002-2501-6442"},"institutions":[{"id":"https://openalex.org/I85461943","display_name":"Saveetha University","ror":"https://ror.org/0034me914","country_code":"IN","type":"education","lineage":["https://openalex.org/I85461943"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mary Jiny D","raw_affiliation_strings":["Department of Mathematics, Saveetha School of Engineering, SIMATS, Chennai, Tamilnadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Saveetha School of Engineering, SIMATS, Chennai, Tamilnadu, India","institution_ids":["https://openalex.org/I85461943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104972201","display_name":"G. Navamani","orcid":null},"institutions":[{"id":"https://openalex.org/I85461943","display_name":"Saveetha University","ror":"https://ror.org/0034me914","country_code":"IN","type":"education","lineage":["https://openalex.org/I85461943"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"G. Navamani","raw_affiliation_strings":["Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, SIMATS, Chennai, Tamilnadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, SIMATS, Chennai, Tamilnadu, India","institution_ids":["https://openalex.org/I85461943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032003640","display_name":"R. Shanmugapriya","orcid":null},"institutions":[{"id":"https://openalex.org/I1330855593","display_name":"Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology","ror":"https://ror.org/05bc5bx80","country_code":"IN","type":"education","lineage":["https://openalex.org/I1330855593"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. Shanmugapriya","raw_affiliation_strings":["Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, Tamil Nadu, India","institution_ids":["https://openalex.org/I1330855593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072088424","display_name":"Raman Kumar","orcid":"https://orcid.org/0000-0003-2934-7609"},"institutions":[{"id":"https://openalex.org/I101407740","display_name":"Chandigarh University","ror":"https://ror.org/05t4pvx35","country_code":"IN","type":"education","lineage":["https://openalex.org/I101407740"]},{"id":"https://openalex.org/I165682329","display_name":"Guru Nanak Dev University","ror":"https://ror.org/05ghzpa93","country_code":"IN","type":"education","lineage":["https://openalex.org/I165682329"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Raman Kumar","raw_affiliation_strings":["Department of Mechanical and Production Engineering, Guru Nanak Dev Engineering College, Ludhiana, Punjab, India","University Centre for Research and Development, University School of Business, Chandigarh University, Gharuan, Mohali, Punjab, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Production Engineering, Guru Nanak Dev Engineering College, Ludhiana, Punjab, India","institution_ids":["https://openalex.org/I165682329"]},{"raw_affiliation_string":"University Centre for Research and Development, University School of Business, Chandigarh University, Gharuan, Mohali, Punjab, India","institution_ids":["https://openalex.org/I101407740"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014977207","display_name":"\u017deljko Stevi\u0107","orcid":"https://orcid.org/0000-0003-4452-5768"},"institutions":[{"id":"https://openalex.org/I194184283","display_name":"University of East Sarajevo","ror":"https://ror.org/022mv6k27","country_code":"BA","type":"education","lineage":["https://openalex.org/I194184283"]},{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["BA","KR"],"is_corresponding":true,"raw_author_name":"\u017deljko Stevi\u0107","raw_affiliation_strings":["Department of Industrial and Management Engineering, Korea University, Seoul, Korea","University of East Sarajevo, Faculty of Transport and Traffic Engineering, Bosnia and Herzegovina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Management Engineering, Korea University, Seoul, Korea","institution_ids":["https://openalex.org/I197347611"]},{"raw_affiliation_string":"University of East Sarajevo, Faculty of Transport and Traffic Engineering, Bosnia and Herzegovina","institution_ids":["https://openalex.org/I194184283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000094397","display_name":"Rajender Kumar","orcid":"https://orcid.org/0000-0002-3322-8621"},"institutions":[{"id":"https://openalex.org/I101407740","display_name":"Chandigarh University","ror":"https://ror.org/05t4pvx35","country_code":"IN","type":"education","lineage":["https://openalex.org/I101407740"]},{"id":"https://openalex.org/I165682329","display_name":"Guru Nanak Dev University","ror":"https://ror.org/05ghzpa93","country_code":"IN","type":"education","lineage":["https://openalex.org/I165682329"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rajender Kumar","raw_affiliation_strings":["Department of Mechanical and Production Engineering, Guru Nanak Dev Engineering College, Ludhiana, Punjab, India","University Centre for Research and Development, University School of Business, Chandigarh University, Gharuan, Mohali, Punjab, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Production Engineering, Guru Nanak Dev Engineering College, Ludhiana, Punjab, India","institution_ids":["https://openalex.org/I165682329"]},{"raw_affiliation_string":"University Centre for Research and Development, University School of Business, Chandigarh University, Gharuan, Mohali, Punjab, India","institution_ids":["https://openalex.org/I101407740"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100765716","display_name":"Sandeep Kumar","orcid":"https://orcid.org/0000-0001-7253-646X"},"institutions":[{"id":"https://openalex.org/I74319210","display_name":"Chitkara University","ror":"https://ror.org/057d6z539","country_code":"IN","type":"education","lineage":["https://openalex.org/I74319210"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sandeep Kumar","raw_affiliation_strings":["Centre of Research Impact and Outcome, Chitkara University, Rajpura, Punjab, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre of Research Impact and Outcome, Chitkara University, Rajpura, Punjab, India","institution_ids":["https://openalex.org/I74319210"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5014977207"],"corresponding_institution_ids":["https://openalex.org/I194184283","https://openalex.org/I197347611"],"apc_list":null,"apc_paid":null,"fwci":0.3304,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60685793,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"28","issue":"4","first_page":"647","last_page":"659"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9933000206947327,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9933000206947327,"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":0.9610999822616577,"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/T14175","display_name":"Intuitionistic Fuzzy Systems Applications","score":0.9553999900817871,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47405049204826355},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4672159254550934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4344446659088135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3741656541824341},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.29214566946029663},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22224602103233337}],"concepts":[{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47405049204826355},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4672159254550934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4344446659088135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3741656541824341},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.29214566946029663},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22224602103233337}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/kes-240290","is_oa":false,"landing_page_url":"https://doi.org/10.3233/kes-240290","pdf_url":null,"source":{"id":"https://openalex.org/S133764092","display_name":"International Journal of Knowledge-based and Intelligent Engineering Systems","issn_l":"1327-2314","issn":["1327-2314","1875-8827"],"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":"International Journal of Knowledge-Based and Intelligent Engineering Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1575611982","https://openalex.org/W1965958008","https://openalex.org/W2044765840","https://openalex.org/W2059346274","https://openalex.org/W2082415651","https://openalex.org/W2324729946","https://openalex.org/W2405393314","https://openalex.org/W2418004530","https://openalex.org/W2789811370","https://openalex.org/W2790330943","https://openalex.org/W3047751461","https://openalex.org/W3162298006","https://openalex.org/W3196501225","https://openalex.org/W4236629293","https://openalex.org/W4315649584","https://openalex.org/W4360618320"],"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],"eternal":[1,44,89],"1-secure":[2,45,90],"set,":[3],"strategically":[4],"protects":[5],"graphical":[6],"structures":[7],"against":[8],"attacks":[9],"by":[10,28],"placing":[11],"sentinels":[12],"within":[13],"dominating":[14],"sets.":[15],"This":[16],"study":[17],"adapts":[18],"this":[19],"concept":[20],"to":[21,92],"real-world":[22],"scenarios,":[23],"like":[24],"emergency":[25],"response":[26],"systems,":[27],"addressing":[29],"challenges":[30],"such":[31],"as":[32],"roadblocks":[33],"and":[34,42,73],"traffic":[35],"congestion.":[36],"We":[37],"introduce":[38],"the":[39,43,59,62,74,85,88],"secure":[40],"set":[41,46,91],"for":[47],"fuzzy":[48,67],"graphs":[49],"based":[50],"on":[51],"edge":[52],"membership":[53],"levels":[54],"J.":[55],"Our":[56],"analysis":[57],"examines":[58],"relationship":[60],"between":[61],"security":[63,94],"number":[64,76],"of":[65,77,87],"a":[66],"graph":[68],"G":[69],"at":[70,81],"level":[71,82],"J":[72],"domination":[75],"its":[78],"spanning":[79],"subgraph":[80],"J,":[83],"demonstrating":[84],"potential":[86],"enhance":[93],"measures":[95],"in":[96],"dynamic":[97],"environments.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-26T13:28:51.108037","created_date":"2025-10-10T00:00:00"}
