{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T03:25:42Z","timestamp":1782962742040,"version":"3.54.5"},"reference-count":68,"publisher":"Springer Science and Business Media LLC","issue":"2","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"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["71301001"],"award-info":[{"award-number":["71301001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71371011"],"award-info":[{"award-number":["71371011"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71501002"],"award-info":[{"award-number":["71501002"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71272047"],"award-info":[{"award-number":["71272047"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Anhui Province for Excellent Young Talents"},{"name":"Provincial Natural Science Research Project of Anhui Colleges","award":["KJ2015A379"],"award-info":[{"award-number":["KJ2015A379"]}]},{"name":"Doctoral Scientific Research Foundation of Anhui University"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2019,2]]},"DOI":"10.1007\/s00521-017-3055-z","type":"journal-article","created":{"date-parts":[[2017,7,11]],"date-time":"2017-07-11T05:51:55Z","timestamp":1499752315000},"page":"377-394","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":25,"title":["A consensus model for group decision making under trapezoidal fuzzy numbers environment"],"prefix":"10.1007","volume":"31","author":[{"given":"Peng","family":"Wu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qun","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ligang","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Huayou","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Han","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2017,7,11]]},"reference":[{"issue":"3","key":"3055_CR1","doi-asserted-by":"crossref","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(3):338\u2013353","journal-title":"Inf Control"},{"key":"3055_CR2","doi-asserted-by":"crossref","first-page":"420","DOI":"10.1016\/j.asoc.2014.10.035","volume":"27","author":"JM Merig\u00f3","year":"2015","unstructured":"Merig\u00f3 JM, Gil-Lafuente AM, Yager RR (2015) An overview of fuzzy research with bibliometric indicators. Appl Soft Comput 27:420\u2013433","journal-title":"Appl Soft Comput"},{"issue":"2","key":"3055_CR3","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/0165-0114(86)90014-X","volume":"18","author":"J Kacprzyk","year":"1986","unstructured":"Kacprzyk J (1986) Group decision making with a fuzzy linguistic majority. Fuzzy Sets Syst 18(2):105\u2013118","journal-title":"Fuzzy Sets Syst"},{"key":"3055_CR4","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0165-0114(95)00107-7","volume":"78","author":"F Herrera","year":"1996","unstructured":"Herrera F, Herrera-Viedma E, Verdegay JL (1996) A model of consensus in group decision making under linguistic assessments. Fuzzy Sets Syst 78:73\u201387","journal-title":"Fuzzy Sets Syst"},{"key":"3055_CR5","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1016\/j.fss.2008.08.011","volume":"160","author":"YC Dong","year":"2009","unstructured":"Dong YC, Xu YF, Yu S (2009) Linguistic multiperson decision making based on the use of multiple preference relations. Fuzzy Sets Syst 160:603\u2013623","journal-title":"Fuzzy Sets Syst"},{"key":"3055_CR6","doi-asserted-by":"crossref","first-page":"3668","DOI":"10.1016\/j.asoc.2013.03.010","volume":"13","author":"LG Zhou","year":"2013","unstructured":"Zhou LG, Chen HY (2013) On compatibility of uncertain additive linguistic preference relations based on the linguistic COWA operator. Appl Soft Comput 13:3668\u20133682","journal-title":"Appl Soft Comput"},{"issue":"1","key":"3055_CR7","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/j.omega.2014.09.006","volume":"51","author":"BZ Sun","year":"2015","unstructured":"Sun BZ, Ma WM (2015) An approach to consensus measurement of linguistic preference relations in multi-attribute group decision making and application. Omega 51(1):83\u201392","journal-title":"Omega"},{"issue":"1","key":"3055_CR8","first-page":"184","volume":"83","author":"ZF Tao","year":"2015","unstructured":"Tao ZF, Liu X, Chen HY, Chen ZQ (2015) Group decision making with fuzzy linguistic preference relations via cooperative games method. Comput Ind Eng 83(1):184\u2013192","journal-title":"Comput Ind Eng"},{"key":"3055_CR9","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1007\/s10726-015-9438-6","volume":"25","author":"ZJ Wang","year":"2016","unstructured":"Wang ZJ, Wang Y, Li KW (2016) An acceptable consistency-based framework for group decision making with intuitionistic preference relations. Group Decis Negot 25:181\u2013202","journal-title":"Group Decis Negot"},{"key":"3055_CR10","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1016\/j.ins.2015.09.024","volume":"329","author":"HC Liao","year":"2016","unstructured":"Liao HC, Xu ZS, Zeng XJ, Xu DL (2016) An enhanced consensus reaching process in group decision making with intuitionistic fuzzy preference relations. Inf Sci 329:274\u2013286","journal-title":"Inf Sci"},{"key":"3055_CR11","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1016\/j.knosys.2015.06.020","volume":"89","author":"R Urena","year":"2015","unstructured":"Urena R, Chiclana F, Fujita H, Herrera-Viedma E (2015) Confidence-consistency driven group decision making approach with incomplete reciprocal intuitionistic preference relations. Knowl Based Syst 89:86\u201396","journal-title":"Knowl Based Syst"},{"issue":"18","key":"3055_CR12","doi-asserted-by":"crossref","first-page":"13409","DOI":"10.1016\/j.eswa.2012.05.062","volume":"39","author":"J Wu","year":"2012","unstructured":"Wu J, Chiclana F (2012) Non-dominance and attitudinal prioritisation methods for intuitionistic and interval-valued intuitionistic fuzzy preference relations. Expert Syst Appl 39(18):13409\u201313416","journal-title":"Expert Syst Appl"},{"key":"3055_CR13","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1007\/s10726-015-9447-5","volume":"25","author":"J Wu","year":"2016","unstructured":"Wu J (2016) Consistency in MCGDM problems with intuitionistic fuzzy preference relations based on an exponential score function. Group Decis Negot 25:399\u2013420","journal-title":"Group Decis Negot"},{"issue":"4","key":"3055_CR14","doi-asserted-by":"crossref","first-page":"1211","DOI":"10.1109\/TFUZZ.2014.2348013","volume":"23","author":"HC Liao","year":"2015","unstructured":"Liao HC, Xu ZS, Zeng XJ, Merig\u00f3 JM (2015) Framework of group decision making with intuitionistic fuzzy preference information. IEEE Trans Fuzzy Syst 23(4):1211\u20131227","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"5","key":"3055_CR15","doi-asserted-by":"crossref","first-page":"2727","DOI":"10.3233\/IFS-152026","volume":"30","author":"DJ Yu","year":"2016","unstructured":"Yu DJ, Li DF, Merig\u00f3 JM, Fang LC (2016) Mapping development of linguistic decision making studies. J Intell Fuzzy Syst 30(5):2727\u20132736","journal-title":"J Intell Fuzzy Syst"},{"key":"3055_CR16","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1016\/j.ins.2014.05.057","volume":"282","author":"ZM Zhang","year":"2014","unstructured":"Zhang ZM, Wu ZC (2014) A decision support model for group decision making with hesitant multiplicative preference relations. Inf Sci 282:136\u2013166","journal-title":"Inf Sci"},{"issue":"12","key":"3055_CR17","doi-asserted-by":"crossref","first-page":"5328","DOI":"10.1016\/j.eswa.2015.02.017","volume":"42","author":"HC Liao","year":"2015","unstructured":"Liao HC, Xu ZS (2015) Approaches to manage hesitant fuzzy linguistic information based on the cosine distance and similarity measures for HFLTSs and their application in qualitative decision making. Expert Syst Appl 42(12):5328\u20135336","journal-title":"Expert Syst Appl"},{"issue":"1","key":"3055_CR18","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1109\/TFUZZ.2013.2245136","volume":"22","author":"B Zhu","year":"2014","unstructured":"Zhu B, Xu ZS (2014) Consistency measures for hesitant fuzzy linguistic preference relations. IEEE Trans Fuzzy Syst 22(1):35\u201345","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"3055_CR19","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/j.knosys.2016.01.047","volume":"99","author":"YJ Xu","year":"2016","unstructured":"Xu YJ, Chen YL, Rodr\u00edguez RM, Herrera F, Wang HM (2016) Deriving the priority weights from incomplete hesitant fuzzy preference relations in group decision making. Knowl Based Syst 99:71\u201378","journal-title":"Knowl Based Syst"},{"key":"3055_CR20","first-page":"28","volume":"65","author":"ZB Wu","year":"2015","unstructured":"Wu ZB, Xu JP (2015) Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations. Omega 65:28\u201340","journal-title":"Omega"},{"key":"3055_CR21","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1016\/j.ins.2014.10.047","volume":"297","author":"H Wang","year":"2015","unstructured":"Wang H, Xu ZS (2015) Some consistency measures of extended hesitant fuzzy linguistic preference relations. Inf Sci 297:316\u2013331","journal-title":"Inf Sci"},{"issue":"2","key":"3055_CR22","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1016\/S0377-2217(99)00197-6","volume":"129","author":"F Herrera","year":"2001","unstructured":"Herrera F, Herrera-Viedma E, Chiclana F (2001) Multiperson decision-making based on multiplicative preference relations. Eur J Oper Res 129(2):372\u2013385","journal-title":"Eur J Oper Res"},{"issue":"1","key":"3055_CR23","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/S0165-0114(01)00256-1","volume":"131","author":"F Chiclana","year":"2002","unstructured":"Chiclana F, Herrera F, Herrera-Viedma E (2002) A note on the internal consistency of various preference representations. Fuzzy Sets Syst 131(1):75\u201378","journal-title":"Fuzzy Sets Syst"},{"issue":"3","key":"3055_CR24","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1023\/B:FODM.0000036864.33950.1b","volume":"3","author":"ZS Xu","year":"2004","unstructured":"Xu ZS (2004) On compatibility of interval fuzzy preference relations. Fuzzy Optim Decis Mak 3(3):217\u2013225","journal-title":"Fuzzy Optim Decis Mak"},{"key":"3055_CR25","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1016\/j.ins.2015.08.043","volume":"328","author":"LG Zhou","year":"2016","unstructured":"Zhou LG, Merig\u00f3 JM, Chen HY, Liu JP (2016) The optimal group continuous logarithm compatibility measure for interval multiplicative preference relations based on the COWGA operator. Inf Sci 328:250\u2013269","journal-title":"Inf Sci"},{"key":"3055_CR26","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1007\/s10726-011-9228-8","volume":"21","author":"HY Chen","year":"2012","unstructured":"Chen HY, Zhou LG (2012) A relative entropy approach to group decision making with interval reciprocal relations based on COWA operator. Group Decis Negot 21:585\u2013599","journal-title":"Group Decis Negot"},{"issue":"3","key":"3055_CR27","doi-asserted-by":"crossref","first-page":"718","DOI":"10.1016\/j.ejor.2013.10.039","volume":"235","author":"F Liu","year":"2014","unstructured":"Liu F, Zhou WG, Zhang LH (2014) Consistency analysis of triangular fuzzy reciprocal preference relations. Eur J Oper Res 235(3):718\u2013726","journal-title":"Eur J Oper Res"},{"issue":"2","key":"3055_CR28","first-page":"110","volume":"19","author":"FJ Hou","year":"2005","unstructured":"Hou FJ, Wu QZ (2005) The ranking of complementary judgment matrices of fuzzy numbers of Hausdorff distance. Fuzzy Syst Math 19(2):110\u2013115","journal-title":"Fuzzy Syst Math"},{"issue":"9","key":"3055_CR29","first-page":"1488","volume":"29","author":"ZW Gong","year":"2007","unstructured":"Gong ZW (2007) On ranking method of complementary judgment matrices of trapezoidal fuzzy numbers based on binary semantics. Syst Eng Electron Technol 29(9):1488\u20131492","journal-title":"Syst Eng Electron Technol"},{"key":"3055_CR30","first-page":"1397","volume":"2","author":"JH Yang","year":"2009","unstructured":"Yang JH (2009) Compatibility and priority method of trapezoid fuzzy number judgement matrix. Fuzzy Inf Eng 2:1397\u20131404","journal-title":"Fuzzy Inf Eng"},{"key":"3055_CR31","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-015-1975-z","author":"YY Zhou","year":"2015","unstructured":"Zhou YY, Cheng LH, Zhou LG, Chen HY, Ge JQ (2015) A group decision making approach for trapezoidal fuzzy preference relations with compatibility measure. Soft Comput. doi:\n                    10.1007\/s00500-015-1975-z","journal-title":"Soft Comput"},{"key":"3055_CR32","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-016-0191-z","author":"P Wu","year":"2016","unstructured":"Wu P, Zhou LG, Zheng T, Chen HY (2016) A fuzzy group decision making and its application based on compatibility with multiplicative trapezoidal fuzzy preference relations. Int J Fuzzy Syst. doi:\n                    10.1007\/s40815-016-0191-z","journal-title":"Int J Fuzzy Syst"},{"issue":"3","key":"3055_CR33","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/0165-0114(85)90090-9","volume":"17","author":"JJ Buckley","year":"1985","unstructured":"Buckley JJ (1985) Fuzzy hierarchical analysis. Fuzzy Sets Syst 17(3):233\u2013247","journal-title":"Fuzzy Sets Syst"},{"issue":"1","key":"3055_CR34","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.ejor.2003.11.031","volume":"166","author":"F Herrera","year":"2005","unstructured":"Herrera F, Mart\u00ednez L, Sanchez PJ (2005) Managing non-homogeneous information in group decision making. Eur J Oper Res 166(1):115\u2013132","journal-title":"Eur J Oper Res"},{"key":"3055_CR35","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.inffus.2016.04.005","volume":"33","author":"CC Li","year":"2017","unstructured":"Li CC, Dong YC, Herrera F, Herrera-Viedma E, Mart\u00ednez L (2017) Personalized individual semantics in computing with words for supporting linguistic group decision making. An application on consensus reaching. Inf Fusion 33:29\u201340","journal-title":"Inf Fusion"},{"key":"3055_CR36","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1016\/j.asoc.2016.01.035","volume":"42","author":"ZJ Wang","year":"2016","unstructured":"Wang ZJ, Lin J (2016) Ratio-based similarity analysis and consensus building for group decision making with interval reciprocal preference relations. Appl Soft Comput 42:260\u2013275","journal-title":"Appl Soft Comput"},{"issue":"4","key":"3055_CR37","doi-asserted-by":"crossref","first-page":"2075","DOI":"10.1016\/j.asoc.2012.11.007","volume":"13","author":"Y Jiang","year":"2013","unstructured":"Jiang Y, Xu ZS, Yu XH (2013) Compatibility measures and consensus models for group decision making with intuitionistic multiplicative preference relations. Appl Soft Comput 13(4):2075\u20132086","journal-title":"Appl Soft Comput"},{"key":"3055_CR38","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1016\/j.fss.2012.03.016","volume":"206","author":"ZB Wu","year":"2012","unstructured":"Wu ZB, Xu JP (2012) A concise consensus support model for group decision making with reciprocal preference relations based on deviation measures. Fuzzy Sets Syst 206:58\u201373","journal-title":"Fuzzy Sets Syst"},{"issue":"11","key":"3055_CR39","doi-asserted-by":"crossref","first-page":"10022","DOI":"10.1016\/j.eswa.2012.02.008","volume":"39","author":"JMT Garc\u00ed","year":"2012","unstructured":"Garc\u00ed JMT, Del Moral MJ, Mart\u00ednez MA, Herrera-Viedma E (2012) A consensus model for group decision making problems with linguistic interval fuzzy preference relations. Expert Syst Appl 39(11):10022\u201310030","journal-title":"Expert Syst Appl"},{"issue":"3","key":"3055_CR40","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1016\/j.dss.2011.11.022","volume":"52","author":"ZB Wu","year":"2012","unstructured":"Wu ZB, Xu JP (2012) A consistency and consensus based decision support model for group decision making with multiplicative preference relations. Decis Support Syst 52(3):757\u2013767","journal-title":"Decis Support Syst"},{"issue":"23","key":"3055_CR41","doi-asserted-by":"crossref","first-page":"4477","DOI":"10.1016\/j.ins.2010.08.005","volume":"180","author":"S Alonso","year":"2010","unstructured":"Alonso S, Herrera-Viedma E, Chiclana F, Herrera F (2010) A web based consensus support system for group decision making problems and incomplete preferences. Inf Sci 180(23):4477\u20134495","journal-title":"Inf Sci"},{"issue":"2","key":"3055_CR42","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/j.knosys.2009.11.019","volume":"23","author":"FJ Cabrerizo","year":"2010","unstructured":"Cabrerizo FJ, P\u00e9rez IJ, Herrera-Viedma E (2010) Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information. Knowl Based Syst 23(2):169\u2013181","journal-title":"Knowl Based Syst"},{"key":"3055_CR43","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.knosys.2013.09.017","volume":"58","author":"F Mata","year":"2014","unstructured":"Mata F, P\u00e9rez LG, Zhou SM, Chiclana F (2014) Type-1 OWA methodology to consensus reaching processes in multi-granular linguistic contexts. Knowl Based Syst 58:11\u201322","journal-title":"Knowl Based Syst"},{"issue":"5","key":"3055_CR44","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1109\/TFUZZ.2005.856561","volume":"13","author":"E Herrera-Viedma","year":"2005","unstructured":"Herrera-Viedma E, Mart\u00ednez L, Mata F, Chiclana F (2005) A consensus support system model for group decision-making problems with multigranular linguistic preference relations. IEEE Trans Fuzzy Syst 13(5):644\u2013658","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"3","key":"3055_CR45","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/S0165-0114(96)00272-2","volume":"95","author":"CH Cheng","year":"1998","unstructured":"Cheng CH (1998) A new approach for ranking fuzzy numbers by distance method. Fuzzy Sets Syst 95(3):307\u2013317","journal-title":"Fuzzy Sets Syst"},{"issue":"3","key":"3055_CR46","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1631\/FITEE.1500198","volume":"17","author":"XX Zhang","year":"2015","unstructured":"Zhang XX, Ge BF, Tan YJ (2015) A consensus model for group decision making under interval type-2 fuzzy environment. Front Inf Technol Electron Eng 17(3):237\u2013249","journal-title":"Front Inf Technol Electron Eng"},{"issue":"3","key":"3055_CR47","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1109\/TFUZZ.2013.2262769","volume":"22","author":"I Palomares","year":"2014","unstructured":"Palomares I, Mart\u00ednez L, Herrera F (2014) A consensus model to detect and manage noncooperative behaviors in large-scale group decision making. IEEE Trans Fuzzy Syst 22(3):516\u2013530","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"3055_CR48","volume-title":"Uncertain fuzzy preference relations and their applications","author":"ZW Gong","year":"2012","unstructured":"Gong ZW, Lin Y, Yao TX (2012) Uncertain fuzzy preference relations and their applications. Springer, Berlin"},{"issue":"2","key":"3055_CR49","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/0165-0114(85)90050-8","volume":"17","author":"SH Chen","year":"1985","unstructured":"Chen SH (1985) Ranking fuzzy numbers with maximizing set and minimizing set. Fuzzy Sets Syst 17(2):113\u2013129","journal-title":"Fuzzy Sets Syst"},{"issue":"9","key":"3055_CR50","doi-asserted-by":"crossref","first-page":"1769","DOI":"10.1016\/j.camwa.2009.07.064","volume":"58","author":"YM Wang","year":"2009","unstructured":"Wang YM, Luo Y (2009) Area ranking of fuzzy numbers based on positive and negative ideal points. Comput Math Appl 58(9):1769\u20131779","journal-title":"Comput Math Appl"},{"issue":"38","key":"3055_CR51","doi-asserted-by":"crossref","first-page":"1638","DOI":"10.1016\/j.apm.2013.09.012","volume":"38","author":"H Deng","year":"2014","unstructured":"Deng H (2014) Comparing and ranking fuzzy numbers using ideal solutions. Appl Math Model 38(38):1638\u20131646","journal-title":"Appl Math Model"},{"issue":"16","key":"3055_CR52","doi-asserted-by":"crossref","first-page":"2405","DOI":"10.1016\/j.ins.2005.03.013","volume":"176","author":"S Abbasbandy","year":"2006","unstructured":"Abbasbandy S, Asady B (2006) Ranking of fuzzy numbers by sign distance. Inf Sci 176(16):2405\u20132416","journal-title":"Inf Sci"},{"key":"3055_CR53","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1016\/j.ins.2016.01.066","volume":"346\u2013347","author":"KC Chai","year":"2016","unstructured":"Chai KC, Kai MT, Lim CP (2016) A new method to rank fuzzy numbers using Dempster\u2013Shafer theory with fuzzy targets. Inf Sci 346\u2013347:302\u2013317","journal-title":"Inf Sci"},{"issue":"22","key":"3055_CR54","first-page":"1069","volume":"6","author":"YLP Thorani","year":"2012","unstructured":"Thorani YLP, Phani P, Rao B, Ravi Shankar N (2012) Ordering generalized trapezoidal fuzzy numbers using orthocentre of centroids. Int J Algebra 6(22):1069\u20131085","journal-title":"Int J Algebra"},{"key":"3055_CR55","volume-title":"The analytic hierarchy process","author":"TL Saaty","year":"1980","unstructured":"Saaty TL (1980) The analytic hierarchy process. McGraw-Hill, New York"},{"key":"3055_CR56","doi-asserted-by":"crossref","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 B 18:183\u2013190","journal-title":"IEEE Trans Syst Man Cybern B"},{"issue":"4","key":"3055_CR57","doi-asserted-by":"crossref","first-page":"651","DOI":"10.1016\/j.cie.2010.01.007","volume":"58","author":"JM Merig\u00f3","year":"2010","unstructured":"Merig\u00f3 JM (2010) Fuzzy decision making using immediate probabilities. Comput Ind Eng 58(4):651\u2013657","journal-title":"Comput Ind Eng"},{"issue":"5","key":"3055_CR58","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1080\/01969722.2010.486223","volume":"41","author":"JM Merig\u00f3","year":"2010","unstructured":"Merig\u00f3 JM, Casanovas M (2010) The fuzzy generalized OWA operator and its application in strategic decision making. Cybern Syst 41(5):359\u2013370","journal-title":"Cybern Syst"},{"issue":"6","key":"3055_CR59","doi-asserted-by":"crossref","first-page":"724","DOI":"10.1109\/3468.983429","volume":"31","author":"RR Yager","year":"2001","unstructured":"Yager RR (2001) The power average operator. IEEE Trans Syst Man Cybern A 31(6):724\u2013731","journal-title":"IEEE Trans Syst Man Cybern A"},{"issue":"37","key":"3055_CR60","doi-asserted-by":"crossref","first-page":"4112","DOI":"10.1016\/j.apm.2012.09.017","volume":"6","author":"SP Wan","year":"2013","unstructured":"Wan SP (2013) Power average operators of trapezoidal intuitionistic fuzzy numbers. Appl Math Model 6(37):4112\u20134126","journal-title":"Appl Math Model"},{"issue":"1","key":"3055_CR61","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1109\/TFUZZ.2009.2036907","volume":"18","author":"ZS Xu","year":"2010","unstructured":"Xu ZS, Yager RR (2010) Power-geometric operators and their use in group decision making. IEEE Trans Fuzzy Syst 18(1):94\u2013105","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"4","key":"3055_CR62","doi-asserted-by":"crossref","first-page":"989","DOI":"10.1016\/j.cie.2011.12.025","volume":"62","author":"LG Zhou","year":"2012","unstructured":"Zhou LG, Chen HY, Liu JP (2012) Generalized power aggregation operators and their applications in group decision making. Comput Ind Eng 62(4):989\u2013999","journal-title":"Comput Ind Eng"},{"key":"3055_CR63","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1016\/j.knosys.2011.08.004","volume":"26","author":"LG Zhou","year":"2012","unstructured":"Zhou LG, Chen HY (2012) A generalization of the power aggregation operators for linguistic environment and its application in group decision making. Knowl Based Syst 26:216\u2013224","journal-title":"Knowl Based Syst"},{"key":"3055_CR64","doi-asserted-by":"crossref","unstructured":"Murakami S, Maeda S, Imamura S (1983) Fuzzy decision analysis on the development of centralized regional energy control systems. In: Proceedings of the IFAC symposium on fuzzy information, knowledge representation and decision analysis. Pergamon Press, New York","DOI":"10.1016\/S1474-6670(17)62060-3"},{"key":"3055_CR65","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1109\/TFUZZ.2002.806316","volume":"11","author":"SJ Chen","year":"2003","unstructured":"Chen SJ, Chen SM (2003) Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers. IEEE Trans Fuzzy Syst 11:45\u201356","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"3055_CR66","volume-title":"Mechanics of materials","author":"J Gere","year":"2012","unstructured":"Gere J, Gere JM, Goodno BJ (2012) Mechanics of materials. Nelson Education, Toronto"},{"issue":"2","key":"3055_CR67","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1016\/j.ssci.2011.08.042","volume":"50","author":"GZ Zheng","year":"2012","unstructured":"Zheng GZ, Zhu N, Tian Z, Chen Y, Sun BH (2012) Application of a trapezoidal fuzzy AHP method for work safety evaluation and early warning rating of hot and humid environments. Saf Sci 50(2):228\u2013239","journal-title":"Saf Sci"},{"issue":"1","key":"3055_CR68","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1109\/TFUZZ.2002.806316","volume":"11","author":"SJ Chen","year":"2003","unstructured":"Chen SJ, Chen SM (2003) Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers. IEEE Trans Fuzzy Syst 11(1):45\u201356","journal-title":"IEEE Trans Fuzzy Syst"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-017-3055-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-017-3055-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-017-3055-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,30]],"date-time":"2019-10-30T16:04:07Z","timestamp":1572451447000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-017-3055-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,7,11]]},"references-count":68,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,2]]}},"alternative-id":["3055"],"URL":"https:\/\/doi.org\/10.1007\/s00521-017-3055-z","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":"16 September 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 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":"The authors declared that they have no conflicts of interest to this work. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}