{"id":"https://openalex.org/W3046793793","doi":"https://doi.org/10.3233/jifs-189077","title":"Some topological indices in fuzzy graphs","display_name":"Some topological indices in fuzzy graphs","publication_year":2020,"publication_date":"2020-07-31","ids":{"openalex":"https://openalex.org/W3046793793","doi":"https://doi.org/10.3233/jifs-189077","mag":"3046793793"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-189077","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-189077","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"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":"Journal of Intelligent &amp; Fuzzy 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/A5001775508","display_name":"Shriram Kalathian","orcid":"https://orcid.org/0000-0002-6044-7336"},"institutions":[{"id":"https://openalex.org/I916357946","display_name":"Sri Sivasubramaniya Nadar College of Engineering","ror":"https://ror.org/054psm803","country_code":"IN","type":"education","lineage":["https://openalex.org/I916357946"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shriram Kalathian","raw_affiliation_strings":["Department of Mathematics, SSN College of Engineering, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, SSN College of Engineering, Chennai, India","institution_ids":["https://openalex.org/I916357946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050328861","display_name":"Sujatha Ramalingam","orcid":"https://orcid.org/0000-0002-3379-6776"},"institutions":[{"id":"https://openalex.org/I916357946","display_name":"Sri Sivasubramaniya Nadar College of Engineering","ror":"https://ror.org/054psm803","country_code":"IN","type":"education","lineage":["https://openalex.org/I916357946"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sujatha Ramalingam","raw_affiliation_strings":["Department of Mathematics, SSN College of Engineering, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, SSN College of Engineering, Chennai, India","institution_ids":["https://openalex.org/I916357946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058208182","display_name":"R. Sundareswaran","orcid":"https://orcid.org/0000-0002-0439-695X"},"institutions":[{"id":"https://openalex.org/I916357946","display_name":"Sri Sivasubramaniya Nadar College of Engineering","ror":"https://ror.org/054psm803","country_code":"IN","type":"education","lineage":["https://openalex.org/I916357946"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sundareswaran Raman","raw_affiliation_strings":["Department of Mathematics, SSN College of Engineering, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, SSN College of Engineering, Chennai, India","institution_ids":["https://openalex.org/I916357946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101604766","display_name":"N. Srinivasan","orcid":null},"institutions":[{"id":"https://openalex.org/I916357946","display_name":"Sri Sivasubramaniya Nadar College of Engineering","ror":"https://ror.org/054psm803","country_code":"IN","type":"education","lineage":["https://openalex.org/I916357946"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Narasimman Srinivasan","raw_affiliation_strings":["Department of Mathematics, SSN College of Engineering, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, SSN College of Engineering, Chennai, India","institution_ids":["https://openalex.org/I916357946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050328861"],"corresponding_institution_ids":["https://openalex.org/I916357946"],"apc_list":null,"apc_paid":null,"fwci":5.8697,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.97005324,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"39","issue":"5","first_page":"6033","last_page":"6046"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10211","display_name":"Computational Drug Discovery Methods","score":0.9936000108718872,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9789999723434448,"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/wiener-index","display_name":"Wiener index","score":0.8625093698501587},{"id":"https://openalex.org/keywords/topological-index","display_name":"Topological index","score":0.7260609865188599},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6051005721092224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5527318716049194},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.450907826423645},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36874353885650635},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3452167212963104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30879485607147217},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19336357712745667},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.141789972782135}],"concepts":[{"id":"https://openalex.org/C16640446","wikidata":"https://www.wikidata.org/wiki/Q909065","display_name":"Wiener index","level":3,"score":0.8625093698501587},{"id":"https://openalex.org/C159867001","wikidata":"https://www.wikidata.org/wiki/Q904942","display_name":"Topological index","level":2,"score":0.7260609865188599},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6051005721092224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5527318716049194},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.450907826423645},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36874353885650635},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3452167212963104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30879485607147217},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19336357712745667},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.141789972782135}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-189077","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-189077","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"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":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1565315122","https://openalex.org/W1966463325","https://openalex.org/W1980698230","https://openalex.org/W1993896140","https://openalex.org/W1996644072","https://openalex.org/W2012513251","https://openalex.org/W2045993700","https://openalex.org/W2050147082","https://openalex.org/W2090187739","https://openalex.org/W2288638657","https://openalex.org/W2318794083","https://openalex.org/W2513006269","https://openalex.org/W2588572897","https://openalex.org/W2594823879","https://openalex.org/W2606998711","https://openalex.org/W2741270480","https://openalex.org/W2904457926","https://openalex.org/W2913039721","https://openalex.org/W3002750685","https://openalex.org/W4213214460","https://openalex.org/W4285719527","https://openalex.org/W6663196147","https://openalex.org/W6725589015","https://openalex.org/W6734667156","https://openalex.org/W6742063537","https://openalex.org/W6758652401"],"related_works":["https://openalex.org/W2266169121","https://openalex.org/W1670111303","https://openalex.org/W2125403365","https://openalex.org/W1988740907","https://openalex.org/W2131592707","https://openalex.org/W2785155281","https://openalex.org/W2089372350","https://openalex.org/W2384431448","https://openalex.org/W3035267374","https://openalex.org/W3189256254"],"abstract_inverted_index":{"A":[0,68,111],"fuzzy":[1,23,151,167,173],"graph":[2,78,152],"is":[3,32,71,160,218],"one":[4],"of":[5,13,30,79,98,113,133,157,198,215],"the":[6,11,17,22,41,57,62,76,80,96,125,130,144,150,163,199,213],"versatile":[7],"application":[8,92,214],"tools":[9],"in":[10,95,104,118,143,166,172],"field":[12,97],"mathematics,":[14],"which":[15,37],"allows":[16],"user":[18],"to":[19,39,50,56,61,128,149,161],"easily":[20],"describe":[21],"relation":[24],"between":[25],"any":[26,35],"objects.":[27],"The":[28,154,203],"nature":[29],"fuzziness":[31],"favorable":[33],"for":[34,75,196,205],"environment,":[36],"supports":[38],"predict":[40],"problem":[42],"and":[43,54,82,121,190,208],"solving":[44],"it.":[45],"Fuzzy":[46],"graphs":[47,174],"are":[48,116,175,201,210],"beneficial":[49],"give":[51],"more":[52],"precision":[53],"flexibility":[55],"system":[58],"as":[59],"compared":[60],"classical":[63],"model":[64],"(i.e.,)":[65],"crisp":[66,145],"theory.":[67,89],"topological":[69,114,139,164],"index":[70,127,192],"a":[72],"numerical":[73],"quantity":[74],"structural":[77],"molecule":[81],"it":[83],"can":[84,100],"be":[85,102],"represented":[86],"through":[87],"Graph":[88],"Moreover,":[90],"its":[91],"not":[93],"only":[94,142],"chemistry":[99],"also":[101],"applied":[103],"areas":[105],"including":[106],"computer":[107],"science,":[108],"networking,":[109],"etc.":[110],"lot":[112],"indices":[115,140,165,170,200,217],"available":[117],"chemical-graph":[119],"theory":[120],"H.":[122],"Wiener":[123,177,180],"proposed":[124],"first":[126],"estimate":[129],"boiling":[131],"point":[132],"alkanes":[134],"called":[135],"\u2018Wiener":[136],"index\u2019.":[137],"Many":[138],"exist":[141],"but":[146],"it\u2019s":[147],"new":[148],"environment.":[153],"main":[155],"aim":[156],"this":[158],"paper":[159],"define":[162],"graphs.":[168],"Here,":[169],"defined":[171],"Modified":[176],"index,":[178,181,183,185,189],"Hyper":[179],"Schultz":[182],"Gutman":[184],"Zagreb":[186],"indices,":[187],"Harmonic":[188],"Randi\u0107":[191],"with":[193],"illustrations.":[194],"Bounds":[195],"some":[197],"proved.":[202],"algorithms":[204],"distance":[206],"matrix":[207],"MWI":[209],"shown.":[211],"Finally,":[212],"these":[216],"discussed.":[219]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
