{"id":"https://openalex.org/W4223942760","doi":"https://doi.org/10.1142/s0219622022500146","title":"Associated Fuzzy Probabilities in MADM with Interacting Attributes: Application in Multi-Objective Facility Location Selection Problem","display_name":"Associated Fuzzy Probabilities in MADM with Interacting Attributes: Application in Multi-Objective Facility Location Selection Problem","publication_year":2022,"publication_date":"2022-04-18","ids":{"openalex":"https://openalex.org/W4223942760","doi":"https://doi.org/10.1142/s0219622022500146"},"language":"en","primary_location":{"id":"doi:10.1142/s0219622022500146","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622022500146","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"International Journal of Information Technology &amp; Decision Making","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/A5005837856","display_name":"Janusz Kacprzyk","orcid":"https://orcid.org/0000-0003-4187-5877"},"institutions":[{"id":"https://openalex.org/I66083562","display_name":"Systems Research Institute","ror":"https://ror.org/0111cp837","country_code":"PL","type":"facility","lineage":["https://openalex.org/I66083562","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Janusz Kacprzyk","raw_affiliation_strings":["Intelligent Systems Laboratory Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intelligent Systems Laboratory Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland","institution_ids":["https://openalex.org/I66083562","https://openalex.org/I99542240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081617835","display_name":"Gia Sirbiladze","orcid":"https://orcid.org/0000-0002-5279-7571"},"institutions":[{"id":"https://openalex.org/I102808428","display_name":"Tbilisi State University","ror":"https://ror.org/05fd1hd85","country_code":"GE","type":"education","lineage":["https://openalex.org/I102808428"]}],"countries":["GE"],"is_corresponding":false,"raw_author_name":"Gia Sirbiladze","raw_affiliation_strings":["Department of Computer Sciences, Ivane Javakhishvili Tbilisi State University, University St. 13, Tbilisi 0186, Georgia"],"raw_orcid":"https://orcid.org/0000-0002-5279-7571","affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Ivane Javakhishvili Tbilisi State University, University St. 13, Tbilisi 0186, Georgia","institution_ids":["https://openalex.org/I102808428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007362274","display_name":"Gvantsa Tsulaia","orcid":null},"institutions":[{"id":"https://openalex.org/I102808428","display_name":"Tbilisi State University","ror":"https://ror.org/05fd1hd85","country_code":"GE","type":"education","lineage":["https://openalex.org/I102808428"]}],"countries":["GE"],"is_corresponding":false,"raw_author_name":"Gvantsa Tsulaia","raw_affiliation_strings":["Department of Computer Sciences, Ivane Javakhishvili Tbilisi State University, University St. 13, Tbilisi 0186, Georgia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Ivane Javakhishvili Tbilisi State University, University St. 13, Tbilisi 0186, Georgia","institution_ids":["https://openalex.org/I102808428"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2549,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.88094781,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"21","issue":"04","first_page":"1155","last_page":"1188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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":0.9997000098228455,"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9796000123023987,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.715691089630127},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6711803674697876},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6338614225387573},{"id":"https://openalex.org/keywords/choquet-integral","display_name":"Choquet integral","score":0.6145672798156738},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6032459139823914},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.6015796065330505},{"id":"https://openalex.org/keywords/facility-location-problem","display_name":"Facility location problem","score":0.5398404598236084},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4926508069038391},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.4802980124950409},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4358159303665161},{"id":"https://openalex.org/keywords/site-selection","display_name":"Site selection","score":0.42560523748397827},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.40731245279312134},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3422485888004303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22770389914512634},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19380173087120056}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.715691089630127},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6711803674697876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6338614225387573},{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.6145672798156738},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6032459139823914},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.6015796065330505},{"id":"https://openalex.org/C108005400","wikidata":"https://www.wikidata.org/wiki/Q1305598","display_name":"Facility location problem","level":2,"score":0.5398404598236084},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4926508069038391},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.4802980124950409},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4358159303665161},{"id":"https://openalex.org/C2780561860","wikidata":"https://www.wikidata.org/wiki/Q7531796","display_name":"Site selection","level":2,"score":0.42560523748397827},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.40731245279312134},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3422485888004303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22770389914512634},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19380173087120056},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219622022500146","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219622022500146","pdf_url":null,"source":{"id":"https://openalex.org/S207089700","display_name":"International Journal of Information Technology & Decision Making","issn_l":"0219-6220","issn":["0219-6220","1793-6845"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"International Journal of Information Technology &amp; Decision Making","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:ijitdm:v:21:y:2022:i:04:n:s0219622022500146","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S0219622022500146","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6943980451","display_name":null,"funder_award_id":"FR-18-466","funder_id":"https://openalex.org/F4320322898","funder_display_name":"Shota Rustaveli National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322898","display_name":"Shota Rustaveli National Science Foundation","ror":"https://ror.org/00xc87681"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W69607722","https://openalex.org/W1548865516","https://openalex.org/W1549458207","https://openalex.org/W1905771608","https://openalex.org/W1968442709","https://openalex.org/W1981428226","https://openalex.org/W1981512945","https://openalex.org/W1984368908","https://openalex.org/W2008032073","https://openalex.org/W2008818676","https://openalex.org/W2013490384","https://openalex.org/W2017449401","https://openalex.org/W2025604780","https://openalex.org/W2033810643","https://openalex.org/W2036234778","https://openalex.org/W2042614007","https://openalex.org/W2043094033","https://openalex.org/W2044028040","https://openalex.org/W2053750940","https://openalex.org/W2060907774","https://openalex.org/W2062241359","https://openalex.org/W2063053200","https://openalex.org/W2064453600","https://openalex.org/W2065299222","https://openalex.org/W2066958401","https://openalex.org/W2067976004","https://openalex.org/W2071112569","https://openalex.org/W2081093831","https://openalex.org/W2092074925","https://openalex.org/W2095371287","https://openalex.org/W2108053256","https://openalex.org/W2115427293","https://openalex.org/W2118900666","https://openalex.org/W2130104797","https://openalex.org/W2139225113","https://openalex.org/W2143286545","https://openalex.org/W2144364256","https://openalex.org/W2149001638","https://openalex.org/W2284704778","https://openalex.org/W2560101148","https://openalex.org/W2582765108","https://openalex.org/W2602452530","https://openalex.org/W2766372563","https://openalex.org/W2920878653","https://openalex.org/W2962975571","https://openalex.org/W2992342299","https://openalex.org/W3096808766","https://openalex.org/W3180835525","https://openalex.org/W3200160023","https://openalex.org/W4205215823","https://openalex.org/W4206422821","https://openalex.org/W4211007335","https://openalex.org/W4214637188","https://openalex.org/W4243838916","https://openalex.org/W4244094825","https://openalex.org/W4251276576","https://openalex.org/W4252280335","https://openalex.org/W4302557773"],"related_works":["https://openalex.org/W2353504680","https://openalex.org/W833506320","https://openalex.org/W2152639368","https://openalex.org/W2076427341","https://openalex.org/W2008244698","https://openalex.org/W1968276546","https://openalex.org/W2963874920","https://openalex.org/W1993452631","https://openalex.org/W2003992246","https://openalex.org/W4223942760"],"abstract_inverted_index":{"For":[0,63,96,283],"decreasing":[1],"service":[2,18,59,71,205,250,267,281,293],"centers\u2019":[3],"selection":[4,25,56,102,207,240,252],"risks":[5],"in":[6,34,86,111,123,174,338],"emergency":[7,292],"facility":[8,23,100,229,238,294],"location":[9,24,101,230,239,295],"selection,":[10],"it":[11],"is":[12,61,80,146,209,235,300],"crucial":[13],"to":[14,75,150,176,221,265,277],"have":[15],"selected":[16],"candidate":[17,58,70,204,249,323],"centers":[19,60,72,251,268],"within":[20],"deeply":[21,98],"detailed":[22,99],"model.":[26],"To":[27],"achieve":[28],"this,":[29],"a":[30,194,203,288,298],"new":[31,161,244,378],"approach":[32,79,364],"developed":[33],"this":[35],"article":[36],"involves":[37],"two":[38,256],"stages.":[39],"In":[40],"the":[41,44,55,64,97,106,124,127,155,167,177,186,197,200,224,261,279,284,305,312,326,336,339,357,366],"first":[42,201],"stage,":[43,202,226],"fuzzy":[45,87,94,131,133,139,191,227],"multi-attribute":[46],"group":[47],"decision":[48],"making":[49],"(MAGDM)":[50],"model":[51,120],"for":[52,105,237,297,320,325,370,385],"evaluation":[53],"of":[54,57,66,69,92,109,118,126,154,166,185,193,199,248,260,272,274,291,328,375],"created.":[62],"aggregation":[65,77,143,214],"experts\u2019":[67,217],"assessments":[68,83,218],"(with":[73],"respect":[74,149,220],"attributes)":[76],"operators\u2019":[78,144],"used.":[81],"Experts\u2019":[82],"are":[84,121,158,163,353],"presented":[85],"terms":[88],"with":[89,148,219,243],"semantic":[90],"form":[91],"triangular":[93,130,138],"numbers.":[95],"modeling":[103],"and":[104,254,269,316,347],"intellectual":[107],"activity":[108],"experts":[110],"their":[112],"evaluations,":[113],"pairwise":[114,383],"interactions":[115,184,384],"between":[116],"attributes":[117,187],"MAGDM":[119],"considered":[122],"construction":[125],"second-order":[128],"additive":[129],"valued":[132],"measure":[134],"(TFVFM).":[135],"The":[136,160,172,302,331],"associated":[137,190],"probability":[140],"averaging":[141],"(As-TFPA)":[142],"family":[145],"constructed":[147,285],"TFVFM.":[151,195],"Analytical":[152],"properties":[153],"As-TFPA":[156,212,310,345,379],"operators":[157,162,346],"studied.":[159],"certain":[164],"extensions":[165],"well-known":[168,317],"Choquet":[169,178,313],"integral":[170],"operator.":[171],"extensions,":[173],"contrast":[175],"aggregation,":[179,352],"consider":[180],"all":[181,382,386],"possible":[182],"pair-wise":[183],"by":[188,309,343,356],"introducing":[189],"probabilities":[192],"At":[196,223],"end":[198],"center\u2019s":[206],"index":[208,253],"defined":[210],"as":[211],"operator\u2019s":[213],"value":[215],"on":[216],"attributes.":[222,376],"second":[225],"multi-objective":[228],"set":[231],"covering":[232],"problem":[233],"(MOFLSCP)":[234],"created":[236],"optimal":[241,321],"planning":[242,296],"criteria:":[245],"(1)":[246],"maximization":[247],"classical":[255],"criteria,":[257],"(2)":[258],"minimization":[259,271],"total":[262],"cost":[263],"needed":[264,276],"open":[266],"(3)":[270],"number":[273],"agents":[275],"operate":[278],"opened":[280],"centers.":[282],"two-stage":[286],"methodology":[287],"simulation":[289],"example":[290,303],"city":[299],"considered.":[301],"gives":[304],"Pareto":[306,340],"fronts":[307],"obtained":[308,342],"operators,":[311],"integral-TFCA":[314],"operator":[315,349,361],"TOPSIS":[318,351,363],"approach,":[319],"selecting":[322],"sites":[324],"servicing":[327],"demand":[329],"points.":[330],"comparative":[332],"analysis":[333],"identifies":[334],"that":[335,359],"differences":[337],"solutions,":[341],"using":[344],"TFCA":[348,360],"or":[350,362],"also":[354],"caused":[355],"fact":[358],"considers":[365],"pair":[367],"interaction":[368],"indexes":[369],"only":[371],"one":[372],"consonant":[373,387],"structure":[374],"While":[377],"aggregations":[380],"provide":[381],"structures.":[388]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
