{"id":"https://openalex.org/W7224763013","doi":"https://doi.org/10.1142/s1793005729500270","title":"Edge-Dependent Fuzzy Hypergraphs: Mathematical Foundations and Optimization Applications","display_name":"Edge-Dependent Fuzzy Hypergraphs: Mathematical Foundations and Optimization Applications","publication_year":2026,"publication_date":"2026-10-30","ids":{"openalex":"https://openalex.org/W7224763013","doi":"https://doi.org/10.1142/s1793005729500270"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005729500270","doi":"https://doi.org/10.1142/s1793005729500270","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005729500270","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5138901706","display_name":"Ninu S. Lal","orcid":"https://orcid.org/0009-0007-7254-9544","observed_orcids":["https://orcid.org/0009-0007-7254-9544"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ninu S. Lal","raw_affiliation_strings":["Department of Mathematics, Mar Athanasius College (Autonomous), Kothamangalam, Kerala, India","Department of Mathematics, SNM College, Maliankara, Kerala, India"],"raw_orcid":"https://orcid.org/0009-0007-7254-9544","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mar Athanasius College (Autonomous), Kothamangalam, Kerala, India","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, SNM College, Maliankara, Kerala, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072115851","display_name":"Bobin George","orcid":"https://orcid.org/0000-0002-2477-6220","observed_orcids":["https://orcid.org/0000-0002-2477-6220"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bobin George","raw_affiliation_strings":["Department of Mathematics, Pavanatma College, Murickassery, Kerala, India"],"raw_orcid":"https://orcid.org/0000-0002-2477-6220","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pavanatma College, Murickassery, Kerala, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.85713592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9976000189781189,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14500","display_name":"Smarandache Functions and Recreational Number Theory","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-hypergraphs","display_name":"fuzzy hypergraphs","score":0.8650000095367432},{"id":"https://openalex.org/keywords/node-degree","display_name":"node degree","score":0.8579999804496765},{"id":"https://openalex.org/keywords/incidence-matrix","display_name":"incidence matrix","score":0.7139999866485596},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"adjacency matrix","score":0.9649999737739563},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.9929999709129333},{"id":"https://openalex.org/keywords/homomorphisms","display_name":"homomorphisms","score":0.8519999980926514},{"id":"https://openalex.org/keywords/isomorphism-invariants","display_name":"isomorphism invariants","score":0.8970000147819519},{"id":"https://openalex.org/keywords/scientific-collaboration-networks","display_name":"research collaboration networks","score":0.9240000247955322},{"id":"https://openalex.org/keywords/higher-order-interactions","display_name":"higher-order interactions","score":0.8389999866485596}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6629999876022339},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5954999923706055},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.578000009059906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.558899998664856},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5512999892234802},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5302000045776367},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5159000158309937},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.5091999769210815},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.47589999437332153},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.43790000677108765},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4293999969959259},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.40610000491142273},{"id":"https://openalex.org/C144170203","wikidata":"https://www.wikidata.org/wiki/Q5511099","display_name":"Fuzzy associative matrix","level":5,"score":0.3727000057697296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35199999809265137},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.3452000021934509},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34360000491142273},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.3431999981403351},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.3197999894618988},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31209999322891235},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.2833999991416931},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28189998865127563},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2793999910354614},{"id":"https://openalex.org/C29470771","wikidata":"https://www.wikidata.org/wiki/Q4165150","display_name":"Neuro-fuzzy","level":4,"score":0.27570000290870667},{"id":"https://openalex.org/C21214244","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy transportation","level":5,"score":0.26089999079704285},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.260699987411499},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2506999969482422}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793005729500270","doi":"https://doi.org/10.1142/s1793005729500270","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005729500270","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7150009704","https://openalex.org/W7213988446","https://openalex.org/W1565315122","https://openalex.org/W4413075236","https://openalex.org/W7214986629","https://openalex.org/W7081953412","https://openalex.org/W7203643298","https://openalex.org/W7084605258","https://openalex.org/W4412003824","https://openalex.org/W2491682066"],"abstract_inverted_index":{"Classical":[0],"fuzzy":[1,47,66,68,72,74,77,84,86,119],"hypergraphs":[2,120],"assign":[3],"one":[4,36],"membership":[5,51,166],"value":[6,12,52],"to":[7,38,129],"each":[8,60],"vertex,":[9],"and":[10,76,90,94,105,115,123],"this":[11,147],"remains":[13],"the":[14,26,50,111,149,162],"same":[15,150],"in":[16,157,167],"all":[17],"hyperedges":[18],"containing":[19],"that":[20],"vertex.":[21],"In":[22,146],"many":[23],"applications,":[24],"however,":[25],"role":[27],"or":[28],"participation":[29,155],"of":[30,53,117],"a":[31,54],"vertex":[32,55,88,92],"may":[33,152],"change":[34],"from":[35],"group":[37],"another.":[39],"To":[40],"represent":[41],"such":[42],"situations,":[43],"we":[44],"introduce":[45],"edge-dependent":[46,65,118,165],"hypergraphs,":[48],"where":[49],"is":[56,141],"specified":[57],"separately":[58],"for":[59,110,137,164],"incident":[61],"hyperedge.":[62],"We":[63,81],"define":[64],"subhyperedges,":[67],"[Formula:":[69,78],"see":[70,79],"text]-subhyperedges,":[71],"subhypergraphs,":[73],"semisubhypergraphs,":[75],"text]-semisubhypergraphs.":[80],"also":[82],"study":[83],"order,":[85],"size,":[87],"degree,":[89,104],"weighted":[91],"degree":[93],"obtain":[95],"some":[96],"basic":[97],"results":[98],"concerning":[99],"these":[100],"quantities.":[101],"Incidence,":[102],"adjacency,":[103],"Laplacian":[106],"matrices":[107],"are":[108,121,127],"introduced":[109],"proposed":[112],"model.":[113],"Homomorphisms":[114],"isomorphisms":[116],"defined,":[122],"several":[124],"structural":[125],"quantities":[126],"shown":[128],"be":[130],"invariant":[131],"under":[132],"isomorphism.":[133],"An":[134],"optimization":[135],"model":[136],"research":[138],"collaboration":[139],"networks":[140],"included":[142],"as":[143],"an":[144],"application.":[145],"model,":[148],"researcher":[151],"have":[153],"different":[154,158],"levels":[156],"projects,":[159],"which":[160],"illustrates":[161],"need":[163],"higher-order":[168],"interactions.":[169]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-10-31T00:00:00"}