{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T21:06:47Z","timestamp":1761599207232,"version":"3.37.3"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2020,10,1]],"date-time":"2020-10-01T00:00:00Z","timestamp":1601510400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,10,1]],"date-time":"2020-10-01T00:00:00Z","timestamp":1601510400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71571123","71771155"],"award-info":[{"award-number":["71571123","71771155"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. & Cyber."],"published-print":{"date-parts":[[2021,4]]},"DOI":"10.1007\/s13042-020-01215-2","type":"journal-article","created":{"date-parts":[[2020,10,1]],"date-time":"2020-10-01T11:03:13Z","timestamp":1601550193000},"page":"973-985","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["An improved TODIM method based on the hesitant fuzzy psychological distance measure"],"prefix":"10.1007","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3637-8403","authenticated-orcid":false,"given":"Chenyang","family":"Song","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zeshui","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jian","family":"Hou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,10,1]]},"reference":[{"key":"1215_CR1","doi-asserted-by":"publisher","first-page":"324","DOI":"10.1086\/663772","volume":"39","author":"M Thomas","year":"2012","unstructured":"Thomas M, Tsai CI (2012) Psychological distance and subjective experience: How distancing reduces the feeling of difficulty. J Consum Res 39:324\u2013340","journal-title":"J Consum Res"},{"key":"1215_CR2","doi-asserted-by":"crossref","unstructured":"Torra V, Narukawa Y (2009) On hesitant fuzzy sets and decision. in: The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, pp. 1378\u20131382.","DOI":"10.1109\/FUZZY.2009.5276884"},{"key":"1215_CR3","first-page":"529","volume":"25","author":"V Torra","year":"2010","unstructured":"Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25:529\u2013539","journal-title":"Int J Intell Syst"},{"key":"1215_CR4","doi-asserted-by":"publisher","first-page":"1130","DOI":"10.1007\/s40815-019-00618-w","volume":"21","author":"R Krishankumar","year":"2019","unstructured":"Krishankumar R, Subrajaa LS, Ravichandran KS et al (2019) A Framework for multi-attribute group decision-making using double hierarchy hesitant fuzzy linguistic term set. Int J Fuzzy Syst 21:1130\u20131143","journal-title":"Int J Fuzzy Syst"},{"key":"1215_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-020-04802-0","author":"R Krishankumar","year":"2020","unstructured":"Krishankumar R, Ravichandran KS, Shyam V et al (2020) Multi-attribute group decision-making using double hierarchy hesitant fuzzy linguistic preference information. Neural Comput Appl. https:\/\/doi.org\/10.1007\/s00521-020-04802-0","journal-title":"Neural Comput Appl"},{"key":"1215_CR6","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1016\/j.ins.2015.07.057","volume":"327","author":"B Farhadinia","year":"2016","unstructured":"Farhadinia B (2016) Hesitant fuzzy set lexicographical ordering and its application to multi-attribute decision making. Inf Sci 327:233\u2013245","journal-title":"Inf Sci"},{"key":"1215_CR7","doi-asserted-by":"publisher","first-page":"342","DOI":"10.3390\/math7040342","volume":"7","author":"R Krishankumar","year":"2019","unstructured":"Krishankumar R, Ravichandran KS, Ahmed MI et al (2019) Interval-valued probabilistic hesitant fuzzy set based muirhead mean for multi-attribute group decision-making. Mathematics 7:342","journal-title":"Mathematics"},{"key":"1215_CR8","doi-asserted-by":"publisher","first-page":"10853","DOI":"10.1007\/s00500-018-3638-3","volume":"23","author":"R Krishankumar","year":"2019","unstructured":"Krishankumar R, Ravichandran KS, Kar S et al (2019) Interval-valued probabilistic hesitant fuzzy set for multi-criteria group decision-making. Soft Comput 23:10853\u201310879","journal-title":"Soft Comput"},{"key":"1215_CR9","doi-asserted-by":"publisher","first-page":"2608","DOI":"10.3390\/su10082608","volume":"10","author":"R Krishankumar","year":"2018","unstructured":"Krishankumar R, Ravichandran KS, Premaladha J et al (2018) Framework under a linguistic hesitant fuzzy set for solving multi-criteria group decision making problems. Sustainability 10:2608","journal-title":"Sustainability"},{"key":"1215_CR10","first-page":"1","volume":"6","author":"LZ Yang","year":"2016","unstructured":"Yang LZ, Zhang R, Hou TP, Hao ZN, Liu J (2016) Hesitant cloud model and its application in the risk assessment of \u201cThe Twenty-First Century Maritime Silk Road\u201d. Math Probl Eng 6:1\u201311","journal-title":"Math Probl Eng"},{"key":"1215_CR11","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/j.patrec.2016.11.001","volume":"84","author":"WY Zeng","year":"2016","unstructured":"Zeng WY, Li DQ (2016) Distance and similarity measures between hesitant fuzzy sets and their application in pattern recognition. Pattern Recogn Lett 84:267\u2013271","journal-title":"Pattern Recogn Lett"},{"key":"1215_CR12","first-page":"1","volume":"22","author":"F Zhang","year":"2016","unstructured":"Zhang F, Chen S, Li J et al (2016) New distance measures on hesitant fuzzy sets based on the cardinality theory and their application in pattern recognition. Soft Comput 22:1\u20139","journal-title":"Soft Comput"},{"key":"1215_CR13","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1016\/j.ijar.2010.09.002","volume":"52","author":"MM Xia","year":"2011","unstructured":"Xia MM, Xu ZS (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reason 52:395\u2013407","journal-title":"Int J Approx Reason"},{"key":"1215_CR14","doi-asserted-by":"publisher","first-page":"2128","DOI":"10.1016\/j.ins.2011.01.028","volume":"181","author":"ZS Xu","year":"2011","unstructured":"Xu ZS, Xia MM (2011) Distance and similarity measures for hesitant fuzzy sets. Inf Sci 181:2128\u20132138","journal-title":"Inf Sci"},{"key":"1215_CR15","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/j.ins.2015.03.076","volume":"321","author":"D Li","year":"2015","unstructured":"Li D, Zeng W, Zhao Y (2015) Note on distance measure of hesitant fuzzy sets. Inf Sci 321:103\u2013115","journal-title":"Inf Sci"},{"key":"1215_CR16","doi-asserted-by":"publisher","first-page":"799","DOI":"10.1002\/int.21548","volume":"27","author":"ZS Xu","year":"2012","unstructured":"Xu ZS, Xia MM (2012) Hesitant fuzzy entropy and cross-entropy and their use in multi-attribute decision making. Int J Intell Syst 27:799\u2013822","journal-title":"Int J Intell Syst"},{"key":"1215_CR17","doi-asserted-by":"publisher","first-page":"1023","DOI":"10.1007\/s00521-017-3135-0","volume":"31","author":"S Das","year":"2019","unstructured":"Das S, Malakar D, Kar S et al (2019) Correlation measures of hesitant fuzzy soft sets and their application in decision making. Neural Comput Appl 31:1023\u20131039","journal-title":"Neural Comput Appl"},{"key":"1215_CR18","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/S0165-0114(98)00271-1","volume":"114","author":"DH Hong","year":"2000","unstructured":"Hong DH, Choi CH (2000) Multi-criteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 114:103\u2013113","journal-title":"Fuzzy Sets Syst"},{"key":"1215_CR19","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1086\/208899","volume":"9","author":"J Huber","year":"1982","unstructured":"Huber J, Payne JW, Puto C (1982) Adding asymmetrically dominated alternatives-violations of regularity and the similarity hypothesis. J Consum Res 9:90\u201398","journal-title":"J Consum Res"},{"key":"1215_CR20","doi-asserted-by":"publisher","first-page":"767","DOI":"10.1037\/0278-7393.17.4.767","volume":"17","author":"DH Wedell","year":"1991","unstructured":"Wedell DH (1991) Distinguishing among models of contextually induced preference reversals. J Exp Psychol Learn Mem Cogn 17:767\u2013778","journal-title":"J Exp Psychol Learn Mem Cogn"},{"key":"1215_CR21","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1111\/bmsp.12048","volume":"68","author":"NAJ Berkowitsch","year":"2015","unstructured":"Berkowitsch NAJ, Scheibehenne B, Rieskamp J, Matthaeus M (2015) A generalized distance function for preferential choices. Br J Math Stat Psychol 68:310\u2013325","journal-title":"Br J Math Stat Psychol"},{"key":"1215_CR22","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.knosys.2011.12.008","volume":"28","author":"B Huang","year":"2012","unstructured":"Huang B, Li HX, Wei DK (2012) Dominance-based rough set model in intuitionistic fuzzy information systems. Knowl-Based Syst 28:115\u2013123","journal-title":"Knowl-Based Syst"},{"key":"1215_CR23","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1016\/j.ins.2012.09.010","volume":"221","author":"B Huang","year":"2013","unstructured":"Huang B, Wei DK, Li HX et al (2013) Using a rough set model to extract rules in dominance-based interval-valued intuitionistic fuzzy information systems. Inf Sci 221:215\u2013229","journal-title":"Inf Sci"},{"key":"1215_CR24","doi-asserted-by":"publisher","first-page":"1001","DOI":"10.1007\/s00291-013-0354-3","volume":"36","author":"JQ Wang","year":"2014","unstructured":"Wang JQ, Wang DD, Zhang DD et al (2014) Multi-criteria outranking approach with hesitant fuzzy sets. OR Spectrum 36:1001\u20131019","journal-title":"OR Spectrum"},{"key":"1215_CR25","doi-asserted-by":"publisher","first-page":"1109","DOI":"10.1007\/s00500-018-3143-8","volume":"23","author":"B Farhadinia","year":"2019","unstructured":"Farhadinia B, Herrera VE (2019) Sorting of decision-making methods based on their outcomes using dominance-vector hesitant fuzzy-based distance. Soft Comput 23:1109\u20131121","journal-title":"Soft Comput"},{"key":"1215_CR26","first-page":"113","volume":"16","author":"LFAM Gomes","year":"1991","unstructured":"Gomes LFAM, Lima MMPP (1991) TODIM: Basic and application to multi-criteria ranking of projects with environmental impacts. Fund Comput Decis Sci 16:113\u2013127","journal-title":"Fund Comput Decis Sci"},{"key":"1215_CR27","doi-asserted-by":"publisher","first-page":"2197","DOI":"10.1016\/j.apm.2012.04.031","volume":"37","author":"N Chen","year":"2013","unstructured":"Chen N, Xu ZS, Xia MM (2013) Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Appl Math Model 37:2197\u20132211","journal-title":"Appl Math Model"},{"key":"1215_CR28","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1037\/0096-3445.115.1.39","volume":"115","author":"MR Nosofsky","year":"1986","unstructured":"Nosofsky MR (1986) Attention, similarity and the identification-categorization relationship. J Exp Psychol: General 115:39\u201357","journal-title":"J Exp Psychol: General"},{"key":"1215_CR29","doi-asserted-by":"publisher","first-page":"924","DOI":"10.1037\/0278-7393.28.5.924","volume":"28","author":"RM Nosofsky","year":"2002","unstructured":"Nosofsky RM, Zaki SR (2002) Exemplar and prototype models revisited: response strategies, selective attention and stimulus generalization. J Exp Psychol Learn Mem Cogn 28:924\u2013940","journal-title":"J Exp Psychol Learn Mem Cogn"},{"key":"1215_CR30","volume-title":"Several intuitionistic fuzzy multi-attribute decision making methods and their applications","author":"ZN Hao","year":"2018","unstructured":"Hao ZN (2018) Several intuitionistic fuzzy multi-attribute decision making methods and their applications. Army Engineering University of PLA, Nanjing"},{"key":"1215_CR31","doi-asserted-by":"publisher","first-page":"767","DOI":"10.1509\/jmkr.48.4.767","volume":"48","author":"RP Rooderkerk","year":"2011","unstructured":"Rooderkerk RP, Van Heerde HJ, Bijmolt THA (2011) Incorporating context effects into a choice model. J Market Res 48:767\u2013780","journal-title":"J Market Res"},{"key":"1215_CR32","doi-asserted-by":"publisher","DOI":"10.1007\/s13042-020-01102-w","author":"CQ Li","year":"2020","unstructured":"Li CQ, Zhao H, Xu ZS (2020) Hesitant fuzzy psychological distance measure. Int J Mach Learn Cybern. https:\/\/doi.org\/10.1007\/s13042-020-01102-w","journal-title":"Int J Mach Learn Cybern"},{"key":"1215_CR33","doi-asserted-by":"publisher","first-page":"1283","DOI":"10.1109\/TCYB.2013.2282037","volume":"44","author":"F Liu","year":"2013","unstructured":"Liu F, Zhang WG (2013) TOPSIS-based consensus model for group decision-making with incomplete interval fuzzy preference relationships. IEEE Trans Cybern 44:1283\u20131294","journal-title":"IEEE Trans Cybern"},{"key":"1215_CR34","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1016\/j.knosys.2013.02.012","volume":"45","author":"TY Chen","year":"2013","unstructured":"Chen TY (2013) An interval-valued intuitionistic fuzzy LINMAP method with inclusion comparison possibilities and hybrid averaging operations for multiple criteria group decision making. Knowl-Based Syst 45:134\u2013146","journal-title":"Knowl-Based Syst"},{"key":"1215_CR35","doi-asserted-by":"publisher","first-page":"238","DOI":"10.2175\/106143016X14798353399494","volume":"89","author":"CK Chhipi-Shrestha","year":"2017","unstructured":"Chhipi-Shrestha CK, Hewage K, Sadiq R (2017) Selecting sustainability indicators for small to medium sized urban water systems using fuzzy ELECTRE. Water Environ Res 89:238\u2013249","journal-title":"Water Environ Res"},{"key":"1215_CR36","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1016\/j.knosys.2014.02.006","volume":"61","author":"XL Zhang","year":"2014","unstructured":"Zhang XL, Xu ZS (2014) The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment. Knowl-Based Syst 61:48\u201358","journal-title":"Knowl-Based Syst"},{"key":"1215_CR37","first-page":"693","volume":"29","author":"R Erk","year":"2011","unstructured":"Erk R, Louie M Jr, Michael M et al (2011) Suspension freezing of bottom sediment and biota in the Northwest Passage and implications for Arctic Ocean sedimentation. Can J Earth Sci 29:693\u2013703","journal-title":"Can J Earth Sci"},{"key":"1215_CR38","doi-asserted-by":"publisher","first-page":"37","DOI":"10.4031\/MTSJ.45.3.1","volume":"45","author":"H Eicken","year":"2011","unstructured":"Eicken H, Jones J, Meyer F et al (2011) Environmental security in Arctic ice-covered seas: from strategy to tactics of hazard identification and emergency response. Marine Technol Soc J 45:37\u201348","journal-title":"Marine Technol Soc J"},{"key":"1215_CR39","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.knosys.2013.05.011","volume":"52","author":"ZS Xu","year":"2013","unstructured":"Xu ZS, Zhang XL (2013) Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information. Knowl-Based Syst 52:53\u201364","journal-title":"Knowl-Based Syst"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-020-01215-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s13042-020-01215-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-020-01215-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,1]],"date-time":"2021-10-01T02:22:48Z","timestamp":1633054968000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s13042-020-01215-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,1]]},"references-count":39,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2021,4]]}},"alternative-id":["1215"],"URL":"https:\/\/doi.org\/10.1007\/s13042-020-01215-2","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"type":"print","value":"1868-8071"},{"type":"electronic","value":"1868-808X"}],"subject":[],"published":{"date-parts":[[2020,10,1]]},"assertion":[{"value":"9 January 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 September 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 October 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}