{"id":"https://openalex.org/W2801327517","doi":"https://doi.org/10.3390/sym10040127","title":"Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making","display_name":"Some Interval Neutrosophic Linguistic Maclaurin Symmetric Mean Operators and Their Application in Multiple Attribute Decision Making","publication_year":2018,"publication_date":"2018-04-22","ids":{"openalex":"https://openalex.org/W2801327517","doi":"https://doi.org/10.3390/sym10040127","mag":"2801327517"},"language":"en","primary_location":{"id":"doi:10.3390/sym10040127","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10040127","pdf_url":"https://www.mdpi.com/2073-8994/10/4/127/pdf?version=1525349454","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/10/4/127/pdf?version=1525349454","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107808842","display_name":"Yushui Geng","orcid":"https://orcid.org/0009-0001-7587-4242"},"institutions":[{"id":"https://openalex.org/I152269853","display_name":"Qilu University of Technology","ror":"https://ror.org/04hyzq608","country_code":"CN","type":"education","lineage":["https://openalex.org/I152269853"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yushui Geng","raw_affiliation_strings":["Graduate School, Qilu University of Technology, Jinan 250353, China"],"affiliations":[{"raw_affiliation_string":"Graduate School, Qilu University of Technology, Jinan 250353, China","institution_ids":["https://openalex.org/I152269853"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101650584","display_name":"Xingang Wang","orcid":"https://orcid.org/0000-0002-3851-2533"},"institutions":[{"id":"https://openalex.org/I152269853","display_name":"Qilu University of Technology","ror":"https://ror.org/04hyzq608","country_code":"CN","type":"education","lineage":["https://openalex.org/I152269853"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingang Wang","raw_affiliation_strings":["School of Information, Qilu University of Technology, Jinan 250353, China"],"affiliations":[{"raw_affiliation_string":"School of Information, Qilu University of Technology, Jinan 250353, China","institution_ids":["https://openalex.org/I152269853"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077595378","display_name":"Xuemei Li","orcid":"https://orcid.org/0000-0003-4334-2791"},"institutions":[{"id":"https://openalex.org/I152269853","display_name":"Qilu University of Technology","ror":"https://ror.org/04hyzq608","country_code":"CN","type":"education","lineage":["https://openalex.org/I152269853"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuemei Li","raw_affiliation_strings":["School of Information, Qilu University of Technology, Jinan 250353, China"],"affiliations":[{"raw_affiliation_string":"School of Information, Qilu University of Technology, Jinan 250353, China","institution_ids":["https://openalex.org/I152269853"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017591415","display_name":"Kun Yu","orcid":"https://orcid.org/0000-0001-7587-8027"},"institutions":[{"id":"https://openalex.org/I152269853","display_name":"Qilu University of Technology","ror":"https://ror.org/04hyzq608","country_code":"CN","type":"education","lineage":["https://openalex.org/I152269853"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kun Yu","raw_affiliation_strings":["School of Information, Qilu University of Technology, Jinan 250353, China"],"affiliations":[{"raw_affiliation_string":"School of Information, Qilu University of Technology, Jinan 250353, China","institution_ids":["https://openalex.org/I152269853"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089438496","display_name":"\u041f\u044d\u0439\u0434\u044d \u041b\u044e","orcid":"https://orcid.org/0000-0001-5048-8145"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peide Liu","raw_affiliation_strings":["School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250353, China"],"affiliations":[{"raw_affiliation_string":"School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250353, China","institution_ids":["https://openalex.org/I59483232"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5089438496","https://openalex.org/A5107808842"],"corresponding_institution_ids":["https://openalex.org/I152269853","https://openalex.org/I59483232"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.2062,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.88378018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":"4","first_page":"127","last_page":"127"},"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":0.9624000191688538,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.958299994468689,"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/operator","display_name":"Operator (biology)","score":0.7879831194877625},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.605735719203949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5915532112121582},{"id":"https://openalex.org/keywords/group-decision-making","display_name":"Group decision-making","score":0.4899527132511139},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39160794019699097},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35738617181777954},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3284968137741089},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.320817768573761},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06608560681343079}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7879831194877625},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.605735719203949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5915532112121582},{"id":"https://openalex.org/C20701700","wikidata":"https://www.wikidata.org/wiki/Q388791","display_name":"Group decision-making","level":2,"score":0.4899527132511139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39160794019699097},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35738617181777954},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3284968137741089},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.320817768573761},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06608560681343079},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym10040127","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10040127","pdf_url":"https://www.mdpi.com/2073-8994/10/4/127/pdf?version=1525349454","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1da24b02d7e14b7bb9c971a85675d20b","is_oa":true,"landing_page_url":"https://doaj.org/article/1da24b02d7e14b7bb9c971a85675d20b","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 10, Iss 4, p 127 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/10/4/127/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym10040127","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym10040127","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym10040127","pdf_url":"https://www.mdpi.com/2073-8994/10/4/127/pdf?version=1525349454","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8299999833106995,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2801327517.pdf","grobid_xml":"https://content.openalex.org/works/W2801327517.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W328663083","https://openalex.org/W594625170","https://openalex.org/W1137073519","https://openalex.org/W1170969516","https://openalex.org/W1487575373","https://openalex.org/W1567593627","https://openalex.org/W1792561248","https://openalex.org/W1969840038","https://openalex.org/W1980564456","https://openalex.org/W2005141229","https://openalex.org/W2019529630","https://openalex.org/W2037351862","https://openalex.org/W2038051080","https://openalex.org/W2043902857","https://openalex.org/W2052454659","https://openalex.org/W2060907774","https://openalex.org/W2089807790","https://openalex.org/W2092803887","https://openalex.org/W2113668671","https://openalex.org/W2232480741","https://openalex.org/W2264693721","https://openalex.org/W2309813571","https://openalex.org/W2329317779","https://openalex.org/W2461078970","https://openalex.org/W2530680027","https://openalex.org/W2563128797","https://openalex.org/W2563192300","https://openalex.org/W2591936123","https://openalex.org/W2593183563","https://openalex.org/W2604308625","https://openalex.org/W2606031165","https://openalex.org/W2613185130","https://openalex.org/W2631440522","https://openalex.org/W2746747652","https://openalex.org/W2756292711","https://openalex.org/W2766645648","https://openalex.org/W2773908324","https://openalex.org/W2963701940","https://openalex.org/W3122090189","https://openalex.org/W4211007335","https://openalex.org/W4255021149","https://openalex.org/W6627645177","https://openalex.org/W6639872725","https://openalex.org/W6728217526","https://openalex.org/W6731188382","https://openalex.org/W6764053934"],"related_works":["https://openalex.org/W2151097448","https://openalex.org/W2796809906","https://openalex.org/W2348660983","https://openalex.org/W1976254693","https://openalex.org/W2384801745","https://openalex.org/W2369673506","https://openalex.org/W2079612625","https://openalex.org/W1928552208","https://openalex.org/W2040240542","https://openalex.org/W1551306197"],"abstract_inverted_index":{"There":[0],"are":[1,89,127],"many":[2],"practical":[3],"decision-making":[4],"problems":[5,171],"in":[6,167],"people\u2019s":[7],"lives,":[8],"but":[9],"the":[10,40,57,64,69,85,90,97,110,131,136,141,144,152,158,169,174],"information":[11,25,45],"given":[12],"by":[13,172],"decision":[14,98,118],"makers":[15],"(DMs)":[16],"is":[17,26,147,162],"often":[18],"unclear":[19,155],"and":[20,43,46,51,93,124,133,154,165],"how":[21],"to":[22,38,129,150],"describe":[23],"this":[24],"of":[27,67,87,135],"critical":[28],"importance.":[29],"Therefore,":[30],"we":[31,74,100,113],"introduce":[32],"interval":[33],"neutrosophic":[34],"linguistic":[35],"numbers":[36],"(INLNs)":[37],"represent":[39],"less":[41],"clear":[42],"uncertain":[44],"give":[47],"their":[48],"operational":[49],"rules":[50],"comparison":[52],"methods.":[53],"In":[54],"addition,":[55],"since":[56],"Maclaurin":[58],"symmetric":[59],"mean":[60],"(MSM)":[61],"operator":[62,79],"has":[63],"special":[65],"characteristic":[66],"capturing":[68],"interrelationships":[70,175],"among":[71,176],"multi-input":[72],"arguments,":[73],"further":[75],"propose":[76,102],"an":[77],"MSM":[78],"for":[80],"INLNs":[81,123],"(INLMSM).":[82],"Furthermore,":[83],"considering":[84,173],"weights":[86],"attributes":[88],"important":[91],"parameters":[92],"they":[94],"can":[95],"influence":[96],"results,":[99],"also":[101],"a":[103,115],"weighted":[104],"INLMSM":[105],"(WINLMSM)":[106],"operator.":[107],"Based":[108],"on":[109],"WINLMSM":[111],"operator,":[112],"develop":[114],"multiple":[116],"attribute":[117],"making":[119],"(MADM)":[120],"method":[121,146],"with":[122,140],"some":[125],"examples":[126],"used":[128],"show":[130],"procedure":[132],"effectiveness":[134],"proposed":[137,145],"method.":[138],"Compared":[139],"existing":[142],"methods,":[143],"more":[148,163],"convenient":[149],"express":[151],"complex":[153],"information.":[156],"At":[157],"same":[159],"time,":[160],"it":[161],"scientific":[164],"flexible":[166],"solving":[168],"MADM":[170],"multi-attributes.":[177]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}