{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T16:15:33Z","timestamp":1780589733594,"version":"3.54.1"},"reference-count":72,"publisher":"Springer Science and Business Media LLC","issue":"22","license":[{"start":{"date-parts":[[2020,6,10]],"date-time":"2020-06-10T00:00:00Z","timestamp":1591747200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,6,10]],"date-time":"2020-06-10T00:00:00Z","timestamp":1591747200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100009068","name":"Consejo Nacional de Innovaci\u00f3n, Ciencia y Tecnolog\u00eda","doi-asserted-by":"publisher","award":["3170556"],"award-info":[{"award-number":["3170556"]}],"id":[{"id":"10.13039\/501100009068","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2020,11]]},"DOI":"10.1007\/s00500-020-05026-z","type":"journal-article","created":{"date-parts":[[2020,6,10]],"date-time":"2020-06-10T23:04:31Z","timestamp":1591830271000},"page":"17377-17400","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":35,"title":["Multiple attribute group decision making based on 2-dimension linguistic intuitionistic fuzzy aggregation operators"],"prefix":"10.1007","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4014-1305","authenticated-orcid":false,"given":"Rajkumar","family":"Verma","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jos\u00e9 M.","family":"Merig\u00f3","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2020,6,10]]},"reference":[{"key":"5026_CR1","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1016\/S0165-0114(96)00009-7","volume":"86","author":"PP Angelov","year":"1997","unstructured":"Angelov PP (1997) Optimization in an intuitionistic fuzzy environment. Fuzzy Sets Syst 86:299\u2013306. https:\/\/doi.org\/10.1016\/S0165-0114(96)00009-7","journal-title":"Fuzzy Sets Syst"},{"key":"5026_CR2","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"KT Atanassov","year":"1986","unstructured":"Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87\u201396. https:\/\/doi.org\/10.1016\/S0165-0114(86)80034-3","journal-title":"Fuzzy Sets Syst"},{"key":"5026_CR3","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1016\/0165-0114(94)90229-1","volume":"61","author":"KT Atanassov","year":"1994","unstructured":"Atanassov KT (1994) New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets Syst 61:137\u2013142. https:\/\/doi.org\/10.1016\/0165-0114(94)90229-1","journal-title":"Fuzzy Sets Syst"},{"key":"5026_CR4","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/S0165-0114(99)00112-8","volume":"110","author":"KT Atanassov","year":"2000","unstructured":"Atanassov KT (2000) Two theorems for intuitionistic fuzzy sets. Fuzzy Sets Syst 110:267\u2013269. https:\/\/doi.org\/10.1016\/S0165-0114(99)00112-8","journal-title":"Fuzzy Sets Syst"},{"key":"5026_CR5","doi-asserted-by":"publisher","first-page":"11363","DOI":"10.1016\/j.eswa.2009.03.039","volume":"36","author":"FE Boran","year":"2009","unstructured":"Boran FE, Gen\u00e7 S, Kurt M, Akay D (2009) A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Syst Appl 36:11363\u201311368. https:\/\/doi.org\/10.1016\/j.eswa.2009.03.039","journal-title":"Expert Syst Appl"},{"key":"5026_CR6","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1016\/0165-0114(96)84611-2","volume":"78","author":"P Burillo","year":"1996","unstructured":"Burillo P, Bustince H (1996) Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets Syst 78:305\u2013316. https:\/\/doi.org\/10.1016\/0165-0114(96)84611-2","journal-title":"Fuzzy Sets Syst"},{"key":"5026_CR7","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.fss.2014.03.016","volume":"255","author":"FJ Cabrerizo","year":"2014","unstructured":"Cabrerizo FJ, Ure\u00f1a R, Pedrycz W, Herrera-Viedma E (2014) Building consensus in group decision making with an allocation of information granularity. Fuzzy Sets Syst 255:115\u2013127. https:\/\/doi.org\/10.1016\/j.fss.2014.03.016","journal-title":"Fuzzy Sets Syst"},{"key":"5026_CR8","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1016\/j.eswa.2018.01.030","volume":"99","author":"FJ Cabrerizo","year":"2018","unstructured":"Cabrerizo FJ, Morente-Molinera JA, Pedrycz W et al (2018) Granulating linguistic information in decision making under consensus and consistency. Expert Syst Appl 99:83\u201392. https:\/\/doi.org\/10.1016\/j.eswa.2018.01.030","journal-title":"Expert Syst Appl"},{"key":"5026_CR9","doi-asserted-by":"publisher","first-page":"54670","DOI":"10.1109\/ACCESS.2019.2913338","volume":"7","author":"EA Callejas","year":"2019","unstructured":"Callejas EA, Cerrada JA, Cerrada C, Cabrerizo FJ (2019) Group decision making based on a framework of granular computing for multi-criteria and linguistic contexts. IEEE Access 7:54670\u201354681","journal-title":"IEEE Access"},{"key":"5026_CR10","doi-asserted-by":"publisher","first-page":"747","DOI":"10.1080\/18756891.2015.1061394","volume":"8","author":"Z Chen","year":"2015","unstructured":"Chen Z, Liu P, Pei Z (2015) An approach to multiple attribute group decision making based on linguistic intuitionistic fuzzy numbers. Int J Comput Intell Syst 8:747\u2013760. https:\/\/doi.org\/10.1080\/18756891.2015.1061394","journal-title":"Int J Comput Intell Syst"},{"key":"5026_CR11","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1016\/S0165-0114(98)00235-8","volume":"117","author":"SK De","year":"2001","unstructured":"De SK, Biswas R, Roy AR (2001) An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst 117:209\u2013213. https:\/\/doi.org\/10.1016\/S0165-0114(98)00235-8","journal-title":"Fuzzy Sets Syst"},{"key":"5026_CR12","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/S0167-8655(01)00110-6","volume":"23","author":"L Dengfeng","year":"2002","unstructured":"Dengfeng L, Chuntian C (2002) New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recogn Lett 23:221\u2013225. https:\/\/doi.org\/10.1016\/S0167-8655(01)00110-6","journal-title":"Pattern Recogn Lett"},{"key":"5026_CR13","doi-asserted-by":"publisher","first-page":"1366","DOI":"10.1109\/TFUZZ.2009.2032172","volume":"17","author":"Y Dong","year":"2009","unstructured":"Dong Y, Xu Y, Yu S (2009) Computing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model. IEEE Trans Fuzzy Syst 17:1366\u20131378. https:\/\/doi.org\/10.1109\/TFUZZ.2009.2032172","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"5026_CR14","doi-asserted-by":"publisher","first-page":"1657","DOI":"10.1007\/s13042-018-0844-3","volume":"10","author":"K Guo","year":"2019","unstructured":"Guo K, Xu H (2019) Knowledge measure for intuitionistic fuzzy sets with attitude towards non-specificity. Int J Mach Learn Cybern 10:1657\u20131669. https:\/\/doi.org\/10.1007\/s13042-018-0844-3","journal-title":"Int J Mach Learn Cybern"},{"key":"5026_CR15","doi-asserted-by":"publisher","first-page":"142","DOI":"10.1016\/j.ins.2013.08.018","volume":"259","author":"Y He","year":"2014","unstructured":"He Y, Chen H, Zhou L et al (2014) Intuitionistic fuzzy geometric interaction averaging operators and their application to multi-criteria decision making. Inf Sci 259:142\u2013159. https:\/\/doi.org\/10.1016\/j.ins.2013.08.018","journal-title":"Inf Sci"},{"key":"5026_CR16","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1109\/3477.915345","volume":"31","author":"F Herrera","year":"2001","unstructured":"Herrera F, Mart\u00ednez L (2001) A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision-making. IEEE Trans Syst Man Cybern B Cybern 31:227\u2013234. https:\/\/doi.org\/10.1109\/3477.915345","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"key":"5026_CR17","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1142\/S0218488501000910","volume":"9","author":"WL Hung","year":"2001","unstructured":"Hung WL (2001) Using statistical viewpoint in developing correlation of intuitionistic fuzzy sets. Int J Uncertain Fuzziness Knowl Based Syst 9:509\u2013516. https:\/\/doi.org\/10.1142\/S0218488501000910","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"key":"5026_CR18","doi-asserted-by":"publisher","first-page":"1641","DOI":"10.1016\/j.ins.2007.11.006","volume":"178","author":"WL Hung","year":"2008","unstructured":"Hung WL, Yang MS (2008) On the J-divergence of intuitionistic fuzzy sets with its application to pattern recognition. Inf Sci 178:1641\u20131650. https:\/\/doi.org\/10.1016\/j.ins.2007.11.006","journal-title":"Inf Sci"},{"key":"5026_CR19","doi-asserted-by":"publisher","first-page":"3823","DOI":"10.1007\/s00500-018-3044-x","volume":"23","author":"D Ju","year":"2019","unstructured":"Ju D, Ju Y, Wang A (2019) Multi-attribute group decision making based on power generalized Heronian mean operator under hesitant fuzzy linguistic environment. Soft Comput 23:3823\u20133842. https:\/\/doi.org\/10.1007\/s00500-018-3044-x","journal-title":"Soft Comput"},{"key":"5026_CR20","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/j.jcss.2004.06.002","volume":"70","author":"DF Li","year":"2005","unstructured":"Li DF (2005) Multiattribute decision making models and methods using intuitionistic fuzzy sets. J Comput Syst Sci 70:73\u201385. https:\/\/doi.org\/10.1016\/j.jcss.2004.06.002","journal-title":"J Comput Syst Sci"},{"key":"5026_CR21","doi-asserted-by":"publisher","first-page":"2689","DOI":"10.1007\/s00500-015-1668-7","volume":"20","author":"Y Li","year":"2016","unstructured":"Li Y, Wang Y, Liu P (2016) Multiple attribute group decision-making methods based on trapezoidal fuzzy two-dimension linguistic power generalized aggregation operators. Soft Comput 20:2689\u20132704. https:\/\/doi.org\/10.1007\/s00500-015-1668-7","journal-title":"Soft Comput"},{"key":"5026_CR22","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/j.inffus.2016.04.005","volume":"33","author":"CC Li","year":"2017","unstructured":"Li CC, Dong Y, Herrera F et al (2017) Personalized individual semantics in computing with words for supporting linguistic group decision making. An application on consensus reaching. Inf Fusion 33:29\u201340. https:\/\/doi.org\/10.1016\/j.inffus.2016.04.005","journal-title":"Inf Fusion"},{"key":"5026_CR23","doi-asserted-by":"publisher","first-page":"7977","DOI":"10.1007\/s00500-018-3436-y","volume":"23","author":"Y Lin","year":"2019","unstructured":"Lin Y, Wang YM, Chin KS (2019) An enhanced approach for two-sided matching with 2-tuple linguistic multi-attribute preference. Soft Comput 23:7977\u20137990. https:\/\/doi.org\/10.1007\/s00500-018-3436-y","journal-title":"Soft Comput"},{"key":"5026_CR24","doi-asserted-by":"publisher","first-page":"424","DOI":"10.3846\/20294913.2012.702139","volume":"18","author":"P Liu","year":"2012","unstructured":"Liu P (2012) An approach to group decision making based on 2-dimension uncertain linguistic information. Technol Econ Dev Econ 18:424\u2013437. https:\/\/doi.org\/10.3846\/20294913.2012.702139","journal-title":"Technol Econ Dev Econ"},{"key":"5026_CR25","doi-asserted-by":"publisher","first-page":"1173","DOI":"10.1080\/0952813X.2017.1310309","volume":"29","author":"P Liu","year":"2017","unstructured":"Liu P, Qin X (2017) Maclaurin symmetric mean operators of linguistic intuitionistic fuzzy numbers and their application to multiple-attribute decision-making. J Exp Theor Artif Intell 29:1173\u20131202. https:\/\/doi.org\/10.1080\/0952813X.2017.1310309","journal-title":"J Exp Theor Artif Intell"},{"key":"5026_CR26","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1002\/cplx.21625","volume":"21","author":"P Liu","year":"2016","unstructured":"Liu P, Teng F (2016) An extended TODIM method for multiple attribute group decision-making based on 2-dimension uncertain linguistic Variable. Complexity 21:20\u201330. https:\/\/doi.org\/10.1002\/cplx.21625","journal-title":"Complexity"},{"key":"5026_CR27","doi-asserted-by":"publisher","first-page":"797","DOI":"10.1007\/s00500-016-2384-7","volume":"22","author":"P Liu","year":"2018","unstructured":"Liu P, Teng F (2018) Multiple attribute decision-making method based on 2-dimension uncertain linguistic density generalized hybrid weighted averaging operator. Soft Comput 22:797\u2013810. https:\/\/doi.org\/10.1007\/s00500-016-2384-7","journal-title":"Soft Comput"},{"key":"5026_CR28","doi-asserted-by":"publisher","first-page":"1057","DOI":"10.1007\/s13042-015-0430-x","volume":"7","author":"P Liu","year":"2016","unstructured":"Liu P, Wang Y (2016) The aggregation operators based on the 2-dimension uncertain linguistic information and their application to decision making. Int J Mach Learn Cybernet 7:1057\u20131074. https:\/\/doi.org\/10.1007\/s13042-015-0430-x","journal-title":"Int J Mach Learn Cybernet"},{"key":"5026_CR29","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/j.knosys.2013.12.009","volume":"57","author":"P Liu","year":"2014","unstructured":"Liu P, Yu X (2014) 2-Dimension uncertain linguistic power generalized weighted aggregation operator and its application in multiple attribute group decision making. Knowl-Based Syst 57:69\u201380. https:\/\/doi.org\/10.1016\/j.knosys.2013.12.009","journal-title":"Knowl-Based Syst"},{"key":"5026_CR30","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1007\/s10726-015-9434-x","volume":"25","author":"P Liu","year":"2016","unstructured":"Liu P, He L, Yu X (2016) Generalized hybrid aggregation operators based on the 2-dimension uncertain linguistic information for multiple attribute group decision making. Group Decis Negot 25:103\u2013126. https:\/\/doi.org\/10.1007\/s10726-015-9434-x","journal-title":"Group Decis Negot"},{"key":"5026_CR31","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1002\/int.20004","volume":"19","author":"HB Mitchell","year":"2004","unstructured":"Mitchell HB (2004a) A correlation coefficient for intuitionistic fuzzy sets. Int J Intell Syst 19:483\u2013490. https:\/\/doi.org\/10.1002\/int.20004","journal-title":"Int J Intell Syst"},{"key":"5026_CR32","doi-asserted-by":"publisher","first-page":"843","DOI":"10.1142\/S0218488504003247","volume":"12","author":"HB Mitchell","year":"2004","unstructured":"Mitchell HB (2004b) An intuitionistic OWA operator. Int J Uncertain Fuzziness Knowl Based Syst 12:843\u2013860. https:\/\/doi.org\/10.1142\/S0218488504003247","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"key":"5026_CR33","doi-asserted-by":"publisher","first-page":"222","DOI":"10.1016\/j.ins.2018.10.022","volume":"476","author":"JA Morente-Molinera","year":"2019","unstructured":"Morente-Molinera JA, Kou G, Pang C et al (2019) An automatic procedure to create fuzzy ontologies from users\u2019 opinions using sentiment analysis procedures and multi-granular fuzzy linguistic modelling methods. Inf Sci 476:222\u2013238. https:\/\/doi.org\/10.1016\/j.ins.2018.10.022","journal-title":"Inf Sci"},{"key":"5026_CR34","doi-asserted-by":"publisher","first-page":"8766","DOI":"10.1016\/j.eswa.2015.07.030","volume":"42","author":"H Nguyen","year":"2015","unstructured":"Nguyen H (2015) A new knowledge-based measure for intuitionistic fuzzy sets and its application in multiple attribute group decision making. Expert Syst Appl 42:8766\u20138774. https:\/\/doi.org\/10.1016\/j.eswa.2015.07.030","journal-title":"Expert Syst Appl"},{"key":"5026_CR35","doi-asserted-by":"publisher","first-page":"1053","DOI":"10.1007\/s13042-016-0630-z","volume":"9","author":"HG Peng","year":"2018","unstructured":"Peng HG, Wang JQ, Cheng PF (2018) A linguistic intuitionistic multi-criteria decision-making method based on the Frank Heronian mean operator and its application in evaluating coal mine safety. Int J Mach Learn Cybernet 9:1053\u20131068. https:\/\/doi.org\/10.1007\/s13042-016-0630-z","journal-title":"Int J Mach Learn Cybernet"},{"key":"5026_CR36","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1016\/S0165-0114(98)00244-9","volume":"114","author":"E Szmidt","year":"2000","unstructured":"Szmidt E, Kacprzyk J (2000) Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst 114:505\u2013518. https:\/\/doi.org\/10.1016\/S0165-0114(98)00244-9","journal-title":"Fuzzy Sets Syst"},{"key":"5026_CR37","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1016\/S0165-0114(98)00402-3","volume":"118","author":"E Szmidt","year":"2001","unstructured":"Szmidt E, Kacprzyk J (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets Syst 118:467\u2013477. https:\/\/doi.org\/10.1016\/S0165-0114(98)00402-3","journal-title":"Fuzzy Sets Syst"},{"key":"5026_CR38","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1016\/j.ins.2012.12.046","volume":"257","author":"E Szmidt","year":"2014","unstructured":"Szmidt E, Kacprzyk J, Bujnowski P (2014) How to measure the amount of knowledge conveyed by Atanassov\u2019s intuitionistic fuzzy sets. Inf Sci 257:276\u2013285. https:\/\/doi.org\/10.1016\/j.ins.2012.12.046","journal-title":"Inf Sci"},{"key":"5026_CR39","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/j.eswa.2009.05.005","volume":"37","author":"C Tan","year":"2010","unstructured":"Tan C, Chen X (2010) Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Syst Appl 37:149\u2013157. https:\/\/doi.org\/10.1016\/j.eswa.2009.05.005","journal-title":"Expert Syst Appl"},{"key":"5026_CR40","doi-asserted-by":"publisher","first-page":"1959","DOI":"10.3233\/JIFS-171589","volume":"35","author":"NX Thao","year":"2018","unstructured":"Thao NX (2018) A new correlation coefficient of the intuitionistic fuzzy sets and its application. J Intell Fuzzy Syst 35:1959\u20131968. https:\/\/doi.org\/10.3233\/JIFS-171589","journal-title":"J Intell Fuzzy Syst"},{"key":"5026_CR41","doi-asserted-by":"publisher","first-page":"2907","DOI":"10.3233\/JIFS-181197","volume":"38","author":"R Verma","year":"2020","unstructured":"Verma R (2020) On aggregation operators for linguistic trapezoidal fuzzy intuitionistic fuzzy sets and their application to multiple attribute group decision making\u2014IOS Press. J Intell Fuzzy Syst 38:2907\u20132950. https:\/\/doi.org\/10.3233\/JIFS-181197","journal-title":"J Intell Fuzzy Syst"},{"key":"5026_CR42","first-page":"1","volume":"17","author":"R Verma","year":"2011","unstructured":"Verma R, Sharma BD (2011) Intuitionistic fuzzy sets: some new results. Notes Intuit Fuzzy Sets 17:1\u201310","journal-title":"Notes Intuit Fuzzy Sets"},{"key":"5026_CR43","first-page":"308","volume":"6","author":"R Verma","year":"2012","unstructured":"Verma R, Sharma BD (2012) On generalized intuitionistic fuzzy divergence (relative information) and their properties. J Uncertain Syst 6:308\u2013320","journal-title":"J Uncertain Syst"},{"key":"5026_CR44","first-page":"399","volume":"37","author":"R Verma","year":"2013","unstructured":"Verma R, Sharma BD (2013a) Intuitionistic fuzzy Jensen-R\u00e9nyi divergence: applications to multiple-attribute decision making. Informatica 37:399\u2013409","journal-title":"Informatica"},{"key":"5026_CR45","first-page":"114","volume":"49","author":"R Verma","year":"2013","unstructured":"Verma R, Sharma BD (2013b) Exponential entropy on intuitionistic fuzzy sets. Kybernetika 49:114\u2013127","journal-title":"Kybernetika"},{"key":"5026_CR46","first-page":"101","volume":"16","author":"R Verma","year":"2013","unstructured":"Verma R, Sharma BD (2013c) Some new results on intuitionistic fuzzy sets. Proc Jangjeon Math Soc 16:101\u2013114","journal-title":"Proc Jangjeon Math Soc"},{"key":"5026_CR47","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/789890","author":"R Verma","year":"2014","unstructured":"Verma R, Sharma BD (2014a) On intuitionistic fuzzy entropy of order-\u03b1. Adv Fuzzy Syst. https:\/\/doi.org\/10.1155\/2014\/789890","journal-title":"Adv Fuzzy Syst"},{"key":"5026_CR48","doi-asserted-by":"publisher","first-page":"1811","DOI":"10.3233\/IFS-141148","volume":"27","author":"R Verma","year":"2014","unstructured":"Verma R, Sharma BD (2014b) A new measure of inaccuracy with its application to multi-criteria decision making under intuitionistic fuzzy environment. J Intell Fuzzy Syst 27:1811\u20131824. https:\/\/doi.org\/10.3233\/IFS-141148","journal-title":"J Intell Fuzzy Syst"},{"key":"5026_CR49","doi-asserted-by":"publisher","first-page":"327","DOI":"10.3233\/IFS-141306","volume":"28","author":"R Verma","year":"2015","unstructured":"Verma R, Sharma BD (2015a) R-norm entropy on intuitionistic fuzzy sets. J Intell Fuzzy Syst 28:327\u2013335. https:\/\/doi.org\/10.3233\/IFS-141306","journal-title":"J Intell Fuzzy Syst"},{"key":"5026_CR50","doi-asserted-by":"publisher","first-page":"3095","DOI":"10.12785\/amis\/090639","volume":"9","author":"R Verma","year":"2015","unstructured":"Verma R, Sharma BD (2015b) Intuitionistic fuzzy Einstein prioritized weighted average operators and their application to multiple attribute group decision making. Appl Math Inf Sci 9:3095\u20133107. https:\/\/doi.org\/10.12785\/amis\/090639","journal-title":"Appl Math Inf Sci"},{"key":"5026_CR51","doi-asserted-by":"publisher","first-page":"923","DOI":"10.1109\/TFUZZ.2012.2189405","volume":"20","author":"W Wang","year":"2012","unstructured":"Wang W, Liu X (2012) Intuitionistic fuzzy information aggregation using einstein operations. IEEE Trans Fuzzy Syst 20:923\u2013938. https:\/\/doi.org\/10.1109\/TFUZZ.2012.2189405","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"5026_CR52","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/j.omega.2005.12.003","volume":"36","author":"X Wang","year":"2008","unstructured":"Wang X, Triantaphyllou E (2008) Ranking irregularities when evaluating alternatives by using some ELECTRE methods. Omega 36:45\u201363. https:\/\/doi.org\/10.1016\/j.omega.2005.12.003","journal-title":"Omega"},{"key":"5026_CR53","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1016\/j.asoc.2009.08.009","volume":"10","author":"G Wei","year":"2010","unstructured":"Wei G (2010) Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Appl Soft Comput 10:423\u2013431. https:\/\/doi.org\/10.1016\/j.asoc.2009.08.009","journal-title":"Appl Soft Comput"},{"key":"5026_CR54","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.inffus.2010.12.001","volume":"13","author":"M Xia","year":"2012","unstructured":"Xia M, Xu Z (2012) Entropy\/cross entropy-based group decision making under intuitionistic fuzzy environment. Inf Fusion 13:31\u201347. https:\/\/doi.org\/10.1016\/j.inffus.2010.12.001","journal-title":"Inf Fusion"},{"key":"5026_CR55","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/j.ins.2003.10.006","volume":"166","author":"Z Xu","year":"2004","unstructured":"Xu Z (2004) A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci 166:19\u201330. https:\/\/doi.org\/10.1016\/j.ins.2003.10.006","journal-title":"Inf Sci"},{"key":"5026_CR56","doi-asserted-by":"publisher","first-page":"843","DOI":"10.1002\/int.20097","volume":"20","author":"Z Xu","year":"2005","unstructured":"Xu Z (2005) An overview of methods for determining OWA weights. Int J Intell Syst 20:843\u2013865. https:\/\/doi.org\/10.1002\/int.20097","journal-title":"Int J Intell Syst"},{"key":"5026_CR57","doi-asserted-by":"publisher","first-page":"1179","DOI":"10.1109\/tfuzz.2006.890678","volume":"15","author":"Z Xu","year":"2007","unstructured":"Xu Z (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15:1179\u20131187. https:\/\/doi.org\/10.1109\/tfuzz.2006.890678","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"5026_CR58","doi-asserted-by":"publisher","first-page":"749","DOI":"10.1016\/j.knosys.2011.01.011","volume":"24","author":"Z Xu","year":"2011","unstructured":"Xu Z (2011) Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators. Knowl-Based Syst 24:749\u2013760. https:\/\/doi.org\/10.1016\/j.knosys.2011.01.011","journal-title":"Knowl-Based Syst"},{"key":"5026_CR59","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1142\/S0218488508005406","volume":"16","author":"Z Xu","year":"2008","unstructured":"Xu Z, Chen J (2008) An overview of distance and similarity measures of intuitionistic fuzzy sets. Int J Uncertain Fuzziness Knowl-Based Syst 16:529\u2013555. https:\/\/doi.org\/10.1142\/S0218488508005406","journal-title":"Int J Uncertain Fuzziness Knowl-Based Syst"},{"key":"5026_CR60","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1080\/03081070600574353","volume":"35","author":"Z Xu","year":"2006","unstructured":"Xu Z, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35:417\u2013433. https:\/\/doi.org\/10.1080\/03081070600574353","journal-title":"Int J Gen Syst"},{"key":"5026_CR61","doi-asserted-by":"publisher","first-page":"568","DOI":"10.1109\/TSMCB.2010.2072918","volume":"41","author":"Z Xu","year":"2011","unstructured":"Xu Z, Yager RR (2011) Intuitionistic fuzzy Bonferroni means. IEEE Trans Syst Man Cybern B Cybern 41:568\u2013578. https:\/\/doi.org\/10.1109\/TSMCB.2010.2072918","journal-title":"IEEE Trans Syst Man Cybern B Cybern"},{"key":"5026_CR62","doi-asserted-by":"publisher","first-page":"3775","DOI":"10.1016\/j.ins.2008.06.008","volume":"178","author":"Z Xu","year":"2008","unstructured":"Xu Z, Chen J, Wu J (2008) Clustering algorithm for intuitionistic fuzzy sets. Inf Sci 178:3775\u20133790. https:\/\/doi.org\/10.1016\/j.ins.2008.06.008","journal-title":"Inf Sci"},{"key":"5026_CR63","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1109\/21.87068","volume":"18","author":"RR Yager","year":"1988","unstructured":"Yager RR (1988) On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans Syst Man Cybern 18:183\u2013190. https:\/\/doi.org\/10.1109\/21.87068","journal-title":"IEEE Trans Syst Man Cybern"},{"key":"5026_CR64","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/j.mcm.2010.07.022","volume":"53","author":"J Ye","year":"2011","unstructured":"Ye J (2011) Cosine similarity measures for intuitionistic fuzzy sets and their applications. Math Comput Model 53:91\u201397. https:\/\/doi.org\/10.1016\/j.mcm.2010.07.022","journal-title":"Math Comput Model"},{"key":"5026_CR65","doi-asserted-by":"publisher","first-page":"539","DOI":"10.1002\/int.21535","volume":"27","author":"X Yu","year":"2012","unstructured":"Yu X, Xu Z, Liu S, Chen Q (2012) Multicriteria decision making with 2-dimension linguistic aggregation techniques. Int J Intell Syst 27:539\u2013562. https:\/\/doi.org\/10.1002\/int.21535","journal-title":"Int J Intell Syst"},{"key":"5026_CR66","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Control 8:338\u2013353. https:\/\/doi.org\/10.1016\/S0019-9958(65)90241-X","journal-title":"Inf Control"},{"key":"5026_CR67","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/0020-0255(75)90036-5","volume":"8","author":"LA Zadeh","year":"1975","unstructured":"Zadeh LA (1975a) The concept of a linguistic variable and its application to approximate reasoning-I. Inf Sci 8:43\u201380. https:\/\/doi.org\/10.1016\/0020-0255(75)90036-5","journal-title":"Inf Sci"},{"key":"5026_CR68","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1016\/0020-0255(75)90046-8","volume":"8","author":"LA Zadeh","year":"1975","unstructured":"Zadeh LA (1975b) The concept of a linguistic variable and its application to approximate reasoning\u2014II. Inf Sci 8:301\u2013357. https:\/\/doi.org\/10.1016\/0020-0255(75)90046-8","journal-title":"Inf Sci"},{"key":"5026_CR69","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/432092","author":"H Zhang","year":"2014","unstructured":"Zhang H (2014) Linguistic intuitionistic fuzzy sets and application in MAGDM. J Appl Math. https:\/\/doi.org\/10.1155\/2014\/432092","journal-title":"J Appl Math"},{"key":"5026_CR70","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1002\/int.20386","volume":"25","author":"H Zhao","year":"2010","unstructured":"Zhao H, Xu Z, Ni M, Liu S (2010) Generalized aggregation operators for intuitionistic fuzzy sets. Int J Intell Syst 25:1\u201330. https:\/\/doi.org\/10.1002\/int.20386","journal-title":"Int J Intell Syst"},{"key":"5026_CR71","first-page":"113","volume":"27","author":"WD Zhu","year":"2009","unstructured":"Zhu WD, Yang SL, Zhou GZ (2009) An approach to group decision making based on 2-dimension linguistic assessment information. Syst Eng 27:113\u2013118","journal-title":"Syst Eng"},{"key":"5026_CR72","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1142\/S0218488518400147","volume":"26","author":"C Zuheros","year":"2018","unstructured":"Zuheros C, Li CC, Cabrerizo FJ et al (2018) Computing with words: revisiting the qualitative scale. Int J Uncertain Fuzziness Knowl Based Syst 26:127\u2013143. https:\/\/doi.org\/10.1142\/S0218488518400147","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-020-05026-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-020-05026-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-020-05026-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,9]],"date-time":"2021-06-09T23:42:26Z","timestamp":1623282146000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-020-05026-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,10]]},"references-count":72,"journal-issue":{"issue":"22","published-print":{"date-parts":[[2020,11]]}},"alternative-id":["5026"],"URL":"https:\/\/doi.org\/10.1007\/s00500-020-05026-z","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6,10]]},"assertion":[{"value":"10 June 2020","order":1,"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":"Authors declare that there is no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}