{"id":"https://openalex.org/W2755209665","doi":"https://doi.org/10.1080/10798587.2017.1367146","title":"New multi-layer method for Z-number ranking using Hyperbolic Tangent function and convex combination","display_name":"New multi-layer method for Z-number ranking using Hyperbolic Tangent function and convex combination","publication_year":2017,"publication_date":"2017-09-12","ids":{"openalex":"https://openalex.org/W2755209665","doi":"https://doi.org/10.1080/10798587.2017.1367146","mag":"2755209665"},"language":"en","primary_location":{"id":"doi:10.1080/10798587.2017.1367146","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10798587.2017.1367146","pdf_url":null,"source":{"id":"https://openalex.org/S40639465","display_name":"Intelligent Automation & Soft Computing","issn_l":"1079-8587","issn":["1079-8587","2326-005X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Intelligent Automation and Soft Computing","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/A5006662394","display_name":"Somayeh Ezadi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089026","display_name":"Islamic Azad University of Hamedan","ror":"https://ror.org/007zpd132","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210089026"]},{"id":"https://openalex.org/I4210107186","display_name":"Hamedan University of Technology","ror":"https://ror.org/01hgb6e08","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210107186"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Somayeh Ezadi","raw_affiliation_strings":["Department of Applied Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran#TAB#","institution_ids":["https://openalex.org/I4210107186","https://openalex.org/I4210089026"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073095019","display_name":"Tofigh Allahviranloo","orcid":"https://orcid.org/0000-0002-6673-3560"},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Tofigh Allahviranloo","raw_affiliation_strings":["Department of Mathematics Science and Research Branch , Islamic Azad University Tehran Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Science and Research Branch , Islamic Azad University Tehran Iran","institution_ids":["https://openalex.org/I155419210"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3722,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.92553684,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"24","issue":"1","first_page":"217","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9986000061035156,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9986000061035156,"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":0.9455000162124634,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9391999840736389,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.770770251750946},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.6994488835334778},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.6982837915420532},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.6964492797851562},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5755491256713867},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49543559551239014},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.44329163432121277},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.236761212348938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21323972940444946},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11368453502655029},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09706243872642517},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.05887633562088013}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.770770251750946},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6994488835334778},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.6982837915420532},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.6964492797851562},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5755491256713867},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49543559551239014},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.44329163432121277},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.236761212348938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21323972940444946},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11368453502655029},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09706243872642517},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.05887633562088013},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10798587.2017.1367146","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10798587.2017.1367146","pdf_url":null,"source":{"id":"https://openalex.org/S40639465","display_name":"Intelligent Automation & Soft Computing","issn_l":"1079-8587","issn":["1079-8587","2326-005X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Intelligent Automation and Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1974946744","https://openalex.org/W1989221798","https://openalex.org/W1991901402","https://openalex.org/W1994937951","https://openalex.org/W1997952930","https://openalex.org/W2013650127","https://openalex.org/W2017132227","https://openalex.org/W2019482291","https://openalex.org/W2042774699","https://openalex.org/W2062014224","https://openalex.org/W2078538587","https://openalex.org/W2080561531","https://openalex.org/W2089572792","https://openalex.org/W2137645553","https://openalex.org/W2484365097","https://openalex.org/W2489692099","https://openalex.org/W2507073852","https://openalex.org/W4200411312","https://openalex.org/W4230835027","https://openalex.org/W4247219141","https://openalex.org/W4254409917","https://openalex.org/W4254628720","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2329791227","https://openalex.org/W1742055567","https://openalex.org/W4280634131","https://openalex.org/W4225420309","https://openalex.org/W2366774435","https://openalex.org/W2307354475","https://openalex.org/W3098582471","https://openalex.org/W2550802967","https://openalex.org/W2360240017","https://openalex.org/W3204397367"],"abstract_inverted_index":{"AbstractMany":[0],"practical":[1],"applications,":[2],"under":[3],"the":[4,9,11,14,25,33,43,46,93],"definitive":[5],"evolutionary":[6],"state":[7],"of":[8,13,18,35,84],"nature,":[10],"consequences":[12],"decisions,":[15],"mental":[16],"states":[17],"a":[19,29,66,74,98],"decision":[20],"maker":[21],"are":[22,60],"required.":[23],"Thus,":[24],"need":[26],"is":[27,48],"for":[28,68,77,100],"new":[30,75],"concept":[31,41,47],"in":[32,52],"analysis":[34],"decision-making.":[36],"Zadeh":[37],"has":[38],"introduced":[39],"this":[40],"as":[42],"Z-number.":[44],"Because":[45],"relatively":[49],"new,":[50],"Z-number":[51],"fuzzy":[53,79],"sets,":[54],"hence,":[55],"its":[56],"basic":[57],"theoretical":[58],"aspects":[59],"yet":[61],"undetermined.":[62],"This":[63],"paper":[64],"presents":[65],"method":[67,76,99],"ranking":[69,78,101],"Z-numbers.":[70,102],"Hence,":[71],"we":[72,96],"propose":[73,97],"numbers":[80],"based":[81],"on":[82],"that":[83],"hyperbolic":[85],"tangent":[86],"function":[87],"and":[88],"convex":[89],"combination.":[90],"Then,":[91],"using":[92],"same":[94],"technique":[95]},"counts_by_year":[{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}