{"id":"https://openalex.org/W4415991285","doi":"https://doi.org/10.3390/axioms14110822","title":"Fuzzy Edge Chromatic Number of the Join of Fuzzy Graphs and Its Applications","display_name":"Fuzzy Edge Chromatic Number of the Join of Fuzzy Graphs and Its Applications","publication_year":2025,"publication_date":"2025-11-06","ids":{"openalex":"https://openalex.org/W4415991285","doi":"https://doi.org/10.3390/axioms14110822"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14110822","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14110822","pdf_url":"https://www.mdpi.com/2075-1680/14/11/822/pdf?version=1762438142","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/11/822/pdf?version=1762438142","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052103831","display_name":"Jing Guo Qu","orcid":null},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Qu","raw_affiliation_strings":["College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100391146","display_name":"Qian Wang","orcid":"https://orcid.org/0000-0003-1886-706X"},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qian Wang","raw_affiliation_strings":["College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China","Key Laboratory of Linguistic and Cultural Computing Ministry of Education, Northwest Minzu University, Lanzhou 730030, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China","institution_ids":["https://openalex.org/I145897649"]},{"raw_affiliation_string":"Key Laboratory of Linguistic and Cultural Computing Ministry of Education, Northwest Minzu University, Lanzhou 730030, China","institution_ids":["https://openalex.org/I145897649"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5119230741","display_name":"Angmo Deji","orcid":null},"institutions":[{"id":"https://openalex.org/I145897649","display_name":"Minzu University of China","ror":"https://ror.org/0044e2g62","country_code":"CN","type":"education","lineage":["https://openalex.org/I145897649"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Angmo Deji","raw_affiliation_strings":["College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, China","institution_ids":["https://openalex.org/I145897649"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100391146"],"corresponding_institution_ids":["https://openalex.org/I145897649"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27676455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"11","first_page":"822","last_page":"822"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.2045000046491623,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.2045000046491623,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10714","display_name":"Software-Defined Networks and 5G","score":0.10029999911785126,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.08720000088214874,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6323999762535095},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5040000081062317},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4867999851703644},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.444599986076355},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.421099990606308},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40959998965263367},{"id":"https://openalex.org/keywords/join","display_name":"Join (topology)","score":0.39160001277923584},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.3490999937057495}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6323999762535095},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5040000081062317},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4943999946117401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4902999997138977},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4867999851703644},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.444599986076355},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.421099990606308},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40959998965263367},{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.39160001277923584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36160001158714294},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.3490999937057495},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.3382999897003174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3321000039577484},{"id":"https://openalex.org/C29470771","wikidata":"https://www.wikidata.org/wiki/Q4165150","display_name":"Neuro-fuzzy","level":4,"score":0.3280999958515167},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3197000026702881},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3140000104904175},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.30160000920295715},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.2786000072956085},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.2784999907016754},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2728999853134155},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2721000015735626},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.2554999887943268},{"id":"https://openalex.org/C98147612","wikidata":"https://www.wikidata.org/wiki/Q215599","display_name":"Promotion (chess)","level":3,"score":0.25459998846054077}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14110822","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14110822","pdf_url":"https://www.mdpi.com/2075-1680/14/11/822/pdf?version=1762438142","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8c241a75547d4681bb2b83b3dc42e4ce","is_oa":true,"landing_page_url":"https://doaj.org/article/8c241a75547d4681bb2b83b3dc42e4ce","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 11, p 822 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14110822","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14110822","pdf_url":"https://www.mdpi.com/2075-1680/14/11/822/pdf?version=1762438142","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415991285.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Fuzzy":[0],"edge":[1,39,61,73,103],"coloring":[2,62,74],"has":[3],"proven":[4],"to":[5,18,21,92],"be":[6],"a":[7],"powerful":[8],"tool":[9],"for":[10,78],"modeling":[11],"and":[12,24,31,45,64,81,97,118],"optimizing":[13,42],"complex":[14,112],"network":[15],"systems,":[16],"owing":[17],"its":[19,43,108],"ability":[20],"effectively":[22],"represent":[23],"manage":[25],"the":[26,37,66],"uncertainty":[27],"in":[28,100,111],"relational":[29],"strengths":[30],"conflicts.":[32],"It":[33],"focuses":[34],"on":[35,70],"defining":[36],"fuzzy":[38,54,60,72,101],"chromatic":[40],"number,":[41],"computation,":[44],"exploring":[46],"practical":[47,109],"applications.":[48],"For":[49],"join":[50],"graphs":[51],"derived":[52],"from":[53],"graphs,":[55],"we":[56],"propose":[57],"an":[58],"efficient":[59],"algorithm":[63,93],"analyze":[65],"associated":[67],"properties.":[68],"Building":[69],"this,":[71],"offers":[75],"effective":[76],"strategies":[77],"software":[79,116],"promotion":[80,117],"traffic":[82,119],"signal":[83,120],"optimization.":[84,121],"This":[85],"work":[86],"addresses":[87],"fundamental":[88],"theoretical":[89],"challenges":[90],"related":[91],"design,":[94],"complexity":[95],"analysis,":[96],"structural":[98],"properties":[99],"graph":[102],"coloring,":[104],"while":[105],"also":[106],"demonstrating":[107],"utility":[110],"scenarios":[113],"such":[114],"as":[115]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-11-07T00:00:00"}