{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T16:57:41Z","timestamp":1761929861757},"reference-count":51,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2017,7,11]],"date-time":"2017-07-11T00:00:00Z","timestamp":1499731200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2019,4]]},"DOI":"10.1007\/s00521-017-3135-0","type":"journal-article","created":{"date-parts":[[2017,7,11]],"date-time":"2017-07-11T10:19:27Z","timestamp":1499768367000},"page":"1023-1039","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":32,"title":["Correlation measure of hesitant fuzzy soft sets and their application in decision making"],"prefix":"10.1007","volume":"31","author":[{"given":"Sujit","family":"Das","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Debashish","family":"Malakar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Samarjit","family":"Kar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tandra","family":"Pal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,7,11]]},"reference":[{"key":"3135_CR1","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1007\/11602613_24","volume":"3827","author":"P Bonizzoni","year":"2008","unstructured":"Bonizzoni P, Vedova GD, Dondi R, Jiang T (2008) Correlation clustering and consensus clustering. Lect Notes Comput Sci 3827:226\u2013235","journal-title":"Lect Notes Comput Sci"},{"key":"3135_CR2","doi-asserted-by":"publisher","first-page":"418","DOI":"10.1007\/978-3-540-69497-7_27","volume":"5069","author":"HP Kriegel","year":"2008","unstructured":"Kriegel HP, Kroger P, Schubert E, Zimek A (2008) A general framework for increasing the robustness of PCA-based correlation clustering algorithms. Lect Notes Comput Sci 5069:418\u2013435","journal-title":"Lect Notes Comput Sci"},{"key":"3135_CR3","doi-asserted-by":"publisher","first-page":"1279","DOI":"10.1016\/j.mcm.2009.06.010","volume":"50","author":"DG Park","year":"2009","unstructured":"Park DG, Kwun YC, Park JH, Park IY (2009) Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems. Math Comput Model 50:1279\u20131293","journal-title":"Math Comput Model"},{"key":"3135_CR4","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1007\/978-3-642-14049-5_18","volume":"6178","author":"E Szmidt","year":"2010","unstructured":"Szmidt E, Kacprzyk J (2010) Correlation of intuitionistic fuzzy sets. Lect Notes Comput Sci 6178:169\u2013177","journal-title":"Lect Notes Comput Sci"},{"key":"3135_CR5","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1007\/s10115-009-0276-1","volume":"26","author":"GW Wei","year":"2011","unstructured":"Wei GW, Wang HJ, Lin R (2011) Application of correlation coefficient to interval-valued intuitionistic fuzzy multiple attribute decision making with incomplete weight information. Knowl Inf Syst 26:337\u2013349","journal-title":"Knowl Inf Syst"},{"key":"3135_CR6","doi-asserted-by":"publisher","first-page":"3864","DOI":"10.1016\/j.apm.2010.03.025","volume":"34","author":"J Ye","year":"2010","unstructured":"Ye J (2010) Multi criteria fuzzy decision-making method using entropy weights based correlation coefficients of interval-valued intuitionistic fuzzy sets. Appl Math Model 34:3864\u20133870","journal-title":"Appl Math Model"},{"issue":"8","key":"3135_CR7","doi-asserted-by":"publisher","first-page":"4126","DOI":"10.1016\/j.eswa.2015.01.003","volume":"42","author":"A Mardani","year":"2015","unstructured":"Mardani A, Jusoh A, Zavadskas EK (2015) Fuzzy multiple criteria decision-making techniques and applications\u2014two decades review from 1994 to 2014. Expert Syst Appl 42(8):4126\u20134148","journal-title":"Expert Syst Appl"},{"issue":"4","key":"3135_CR8","doi-asserted-by":"publisher","first-page":"517","DOI":"10.1142\/S0218488501000922","volume":"9","author":"WL Hung","year":"2001","unstructured":"Hung WL, Wu JW (2001) A note on the correlation of fuzzy numbers by expected interval. Int J Uncertain Fuzziness Knowl Based Syst 9(4):517\u2013523","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"key":"3135_CR9","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/0165-0114(91)90031-K","volume":"44","author":"T Gerstenkorn","year":"1991","unstructured":"Gerstenkorn T, Manko J (1991) Correlation of intuitionistic fuzzy sets. Fuzzy Set Syst 44:39\u201343","journal-title":"Fuzzy Set Syst"},{"issue":"2","key":"3135_CR10","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/0165-0114(94)00343-6","volume":"74","author":"H Bustince","year":"1995","unstructured":"Bustince H, Burillo P (1995) Correlation of interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst 74(2):237\u2013244","journal-title":"Fuzzy Sets Syst"},{"key":"3135_CR11","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/S0165-0114(96)00311-9","volume":"95","author":"DH Hong","year":"1998","unstructured":"Hong DH (1998) A note on correlation of interval-valued intuitionistic fuzzy sets. Fuzzy Set Syst 95:113\u2013117","journal-title":"Fuzzy Set Syst"},{"key":"3135_CR12","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1016\/S0020-0255(02)00181-0","volume":"144","author":"WL Hung","year":"2002","unstructured":"Hung WL, Wu JW (2002) Correlation of intuitionistic fuzzy sets by centroid method. Inf Sci 144:219\u2013225","journal-title":"Inf Sci"},{"key":"3135_CR13","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":"3135_CR14","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"},{"issue":"2","key":"3135_CR15","doi-asserted-by":"publisher","first-page":"296","DOI":"10.3846\/20294913.2015.1072755","volume":"23","author":"D Yu","year":"2017","unstructured":"Yu D (2017) Hesitant fuzzy multi-criteria decision making methods based on Heronian mean. Technol Econ Dev Econ 23(2):296\u2013315","journal-title":"Technol Econ Dev Econ"},{"issue":"1","key":"3135_CR16","doi-asserted-by":"publisher","first-page":"91","DOI":"10.3233\/IFS-162123","volume":"31","author":"J Feng","year":"2016","unstructured":"Feng J, Fan W, Bangjun W, Ting Z (2016) Research on the innovation ability evaluation of traditional enterprise\u2019s business model for internet transition with hesitant fuzzy information. J Intell Fuzzy Syst 31(1):91\u201397","journal-title":"J Intell Fuzzy Syst"},{"issue":"4","key":"3135_CR17","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 M (2013) Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis. Appl Math Model 37(4):2197\u20132211","journal-title":"Appl Math Model"},{"issue":"1","key":"3135_CR18","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1002\/int.21741","volume":"31","author":"F Meng","year":"2016","unstructured":"Meng F, Wang C, Chen X, Zhang Q (2016) Correlation coefficients of interval-valued hesitant fuzzy sets and their application based on the shapley function. Int J Intell Syst 31(1):17\u201343","journal-title":"Int J Intell Syst"},{"issue":"5","key":"3135_CR19","doi-asserted-by":"publisher","first-page":"410","DOI":"10.1002\/int.20474","volume":"26","author":"ZS Xu","year":"2011","unstructured":"Xu ZS, Xia M (2011) On distance and correlation measures of hesitant fuzzy information. Int J Intell Syst 26(5):410\u2013425","journal-title":"Int J Intell Syst"},{"issue":"11","key":"3135_CR20","doi-asserted-by":"publisher","first-page":"4449","DOI":"10.1007\/s00500-015-1754-x","volume":"20","author":"X Tong","year":"2016","unstructured":"Tong X, Yu L (2016) MADM based on distance and correlation coefficient measures with decision-maker preferences under a hesitant fuzzy environment. Soft Comput 20(11):4449\u20134461","journal-title":"Soft Comput"},{"key":"3135_CR21","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1016\/j.ins.2013.03.034","volume":"240","author":"B Farhadinia","year":"2013","unstructured":"Farhadinia B (2013) Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets. Inf Sci 240:129\u2013144","journal-title":"Inf Sci"},{"issue":"1","key":"3135_CR22","doi-asserted-by":"publisher","first-page":"179","DOI":"10.15388\/Informatica.2016.81","volume":"27","author":"Y Jun","year":"2016","unstructured":"Jun Y (2016) Correlation coefficients of interval neutrosophic hesitant fuzzy sets and its application in a multiple attribute decision making method. Informatica 27(1):179\u2013202","journal-title":"Informatica"},{"key":"3135_CR23","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.knosys.2015.02.020","volume":"82","author":"H Liao","year":"2015","unstructured":"Liao H, Xu Z, Zeng X-J (2015) Novel correlation coefficients between hesitant fuzzy sets and their application in decision making. Knowl Based Syst 82:115\u2013127","journal-title":"Knowl Based Syst"},{"issue":"22","key":"3135_CR24","doi-asserted-by":"publisher","first-page":"7082","DOI":"10.1016\/j.apm.2015.02.046","volume":"39","author":"SK Tyagi","year":"2015","unstructured":"Tyagi SK (2015) Correlation coefficient of dual hesitant fuzzy sets and its applications. Appl Math Model 39(22):7082\u20137092","journal-title":"Appl Math Model"},{"issue":"3","key":"3135_CR25","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1142\/S0218488514500184","volume":"22","author":"D Yu","year":"2014","unstructured":"Yu D (2014) Some generalized dual hesistant fuzzy geometric aggregation operators and applications. Int J Uncertain Fuzziness Knowl Based Syst 22(3):367\u2013384","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"issue":"2","key":"3135_CR26","doi-asserted-by":"publisher","first-page":"194","DOI":"10.3846\/20294913.2015.1012657","volume":"22","author":"D Yu","year":"2016","unstructured":"Yu D, Zhang W, Huang G (2016) Dual hesitant fuzzy aggregation operators. Technol Econ Dev Econ 22(2):194\u2013209","journal-title":"Technol Econ Dev Econ"},{"key":"3135_CR27","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/593739","author":"L Wang","year":"2013","unstructured":"Wang L, Ni M, Zhu L (2013) Correlation measures of dual hesitant fuzzy sets. J Appl Math. doi: 10.1155\/2013\/593739","journal-title":"J Appl Math"},{"key":"3135_CR28","doi-asserted-by":"crossref","first-page":"879629","DOI":"10.1155\/2012\/879629","volume":"2012","author":"B Zhu","year":"2012","unstructured":"Zhu B, Xu ZS, Xia M (2012) Dual hesitant fuzzy sets. J Appl Math 2012:879629","journal-title":"J Appl Math"},{"issue":"1","key":"3135_CR29","doi-asserted-by":"publisher","first-page":"100","DOI":"10.3846\/20294913.2014.981882","volume":"22","author":"B Zhu","year":"2016","unstructured":"Zhu B, Xu Z (2016) Extended hesitant fuzzy sets. Technol Econ Dev Econ 22(1):100\u2013121","journal-title":"Technol Econ Dev Econ"},{"key":"3135_CR30","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1016\/j.knosys.2014.12.009","volume":"76","author":"H Liao","year":"2015","unstructured":"Liao H, Xu ZS, Zeng XJ, Merig\u00f3 JM (2015) Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl Based Syst 76:127\u2013138","journal-title":"Knowl Based Syst"},{"key":"3135_CR31","unstructured":"Malakar D, Gope S, Das S (2015) Correlation measure of hesitant fuzzy linguistic term soft set and its application in decision making. In: Das S, et al (eds) Proceedings of the 4th international conference on frontiers in intelligent computing: theory & applications (FICTA), advances in intelligent systems and computing series. Springer, pp 413\u2013423"},{"key":"3135_CR32","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1007\/978-81-322-2301-6_18","volume":"125","author":"S Das","year":"2013","unstructured":"Das S, Kar S (2013) The hesitant fuzzy soft set and its application in decision making. Facets Uncertain Appl 125:235\u2013247. doi: 10.1007\/978-81-322-2301-6_18 (Springer Proceedings in Mathematics and Statistics)","journal-title":"Facets Uncertain Appl"},{"key":"3135_CR33","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/S0898-1221(99)00056-5","volume":"37","author":"D Molodtsov","year":"1999","unstructured":"Molodtsov D (1999) Soft set theory-first results. Comput Math Appl 37:19\u201331","journal-title":"Comput Math Appl"},{"key":"3135_CR34","doi-asserted-by":"publisher","first-page":"643785","DOI":"10.1155\/2014\/643785","volume":"2014","author":"F Wang","year":"2014","unstructured":"Wang F, Li X, Chen X (2014) Hesitant fuzzy soft set and its applications in multi criteria decision making. J Appl Math 2014:643785. doi: 10.1155\/2014\/643785","journal-title":"J Appl Math"},{"key":"3135_CR35","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/806983","author":"J-Q Wang","year":"2015","unstructured":"Wang J-Q, Li X-E, Chen X-H (2015) Hesitant fuzzy soft sets with application in multi criteria group decision making problems. Sci World J. doi: 10.1155\/2015\/806983","journal-title":"Sci World J"},{"key":"3135_CR36","first-page":"35","volume":"36","author":"B Chen","year":"2016","unstructured":"Chen B (2016) Generalized hesitant fuzzy soft sets. Ital J Pure Appl Math 36:35\u201354","journal-title":"Ital J Pure Appl Math"},{"issue":"1","key":"3135_CR37","first-page":"143","volume":"30","author":"B Ismat","year":"2016","unstructured":"Ismat B, Tabasam R (2016) Ideal solutions for hesitant fuzzy soft sets. J Intell Fuzzy Syst 30(1):143\u2013150","journal-title":"J Intell Fuzzy Syst"},{"key":"3135_CR38","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/j.knosys.2013.03.004","volume":"46","author":"G Wei","year":"2013","unstructured":"Wei G, Zhao X, Lin R (2013) Some hesitant interval-valued fuzzy aggregation operators and their applications to multiple attribute decision making. Knowl Based Syst 46:43\u201353","journal-title":"Knowl Based Syst"},{"key":"3135_CR39","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/254764","author":"H Zhang","year":"2015","unstructured":"Zhang H, Xiong L, Ma W (2015) On interval-valued hesitant fuzzy soft sets. Math Probl Eng. doi: 10.1155\/2015\/254764","journal-title":"Math Probl Eng"},{"issue":"1","key":"3135_CR40","doi-asserted-by":"publisher","first-page":"71","DOI":"10.3233\/FI-2015-1264","volume":"141","author":"X Peng","year":"2015","unstructured":"Peng X, Yong Y (2015) Interval-valued hesitant fuzzy soft sets and their application in decision making. Fundam Inform 141(1):71\u201393","journal-title":"Fundam Inform"},{"key":"3135_CR41","doi-asserted-by":"crossref","unstructured":"Das S, Kar S (2013) Intuitionistic multi fuzzy soft set and its application in decision making. In: Maji P, et al. (eds) Fifth international conference on pattern recognition and machine intelligence (PReMI), Kolkata, December 10\u201314, lecture notes in computer science, vol 8251, Springer, pp 587\u2013592","DOI":"10.1007\/978-3-642-45062-4_82"},{"key":"3135_CR42","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1016\/j.asoc.2014.06.050","volume":"24","author":"S Das","year":"2014","unstructured":"Das S, Kar S (2014) Group decision making in medical system: an intuitionistic fuzzy soft set approach. Appl Soft Comput 24:196\u2013211","journal-title":"Appl Soft Comput"},{"key":"3135_CR43","doi-asserted-by":"publisher","unstructured":"Das S, Kar MB, Pal T, Kar S (2014) Multiple attribute group decision making using interval-valued intuitionistic fuzzy soft matrix. In: Proceedings of IEEE international conference on fuzzy systems (FUZZ-IEEE), Beijing, July 6\u201311, pp 2222\u20132229. doi: 10.1109\/FUZZ-IEEE.2014.6891687","DOI":"10.1109\/FUZZ-IEEE.2014.6891687"},{"key":"3135_CR44","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1186\/2195-5468-1-10","volume":"1","author":"S Das","year":"2013","unstructured":"Das S, Kar MB, Kar S (2013) Group multi criteria decision making using intuitionistic multi fuzzy sets. J Uncertain Anal Appl 1:10. doi: 10.1186\/2195-5468-1-10","journal-title":"J Uncertain Anal Appl"},{"issue":"1","key":"3135_CR45","doi-asserted-by":"publisher","first-page":"57","DOI":"10.2478\/jaiscr-2014-0025","volume":"4","author":"S Das","year":"2014","unstructured":"Das S, Kar S, Pal T (2014) Group decision making using interval-valued intuitionistic fuzzy soft matrix and confident weight of experts. J Artif Intell Soft Comput Res 4(1):57\u201377","journal-title":"J Artif Intell Soft Comput Res"},{"issue":"2","key":"3135_CR46","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1504\/IJCSYSE.2015.077053","volume":"2","author":"S Das","year":"2015","unstructured":"Das S, Kumari P, Verma AK (2015) Triangular fuzzy soft set and its application in MADM. Int J Comput Syst Eng 2(2):85\u201393","journal-title":"Int J Comput Syst Eng"},{"issue":"3","key":"3135_CR47","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1016\/j.ijar.2010.09.002","volume":"52","author":"ZS Xu","year":"2011","unstructured":"Xu ZS, Xia MM (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reason 52(3):395\u2013407","journal-title":"Int J Approx Reason"},{"key":"3135_CR48","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/j.knosys.2013.03.004","volume":"46","author":"G Wei","year":"2013","unstructured":"Wei G, Zhao X, Lin R (2013) Some hesitant interval-valued fuzzy aggregation operators and their applications to multiple attribute decision making. Knowl Based Syst 46:43\u201353","journal-title":"Knowl Based Syst"},{"key":"3135_CR49","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970906","volume-title":"Methods and applications of interval analysis","author":"RE Moore","year":"1979","unstructured":"Moore RE (1979) Methods and applications of interval analysis. SIAM, Philadelphia"},{"key":"3135_CR50","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717716","volume-title":"Introduction to interval analysis","author":"RE Moore","year":"2009","unstructured":"Moore RE, Kearfott RB, Cloud MJ (2009) Introduction to interval analysis. SIAM, Philadelphia"},{"key":"3135_CR51","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/254764","author":"H Zhang","year":"2015","unstructured":"Zhang H, Xiong L, Ma W (2015) On interval-valued hesitant fuzzy soft sets. Math Probl Eng. doi: 10.1155\/2015\/254764","journal-title":"Math Probl Eng"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-017-3135-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-017-3135-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-017-3135-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,25]],"date-time":"2024-06-25T10:46:30Z","timestamp":1719312390000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-017-3135-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,7,11]]},"references-count":51,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2019,4]]}},"alternative-id":["3135"],"URL":"https:\/\/doi.org\/10.1007\/s00521-017-3135-0","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,7,11]]},"assertion":[{"value":"6 January 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 June 2017","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 July 2017","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"We declare that the authors have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}