{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T16:04:58Z","timestamp":1762445098291,"version":"3.37.3"},"reference-count":60,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2020,8,30]],"date-time":"2020-08-30T00:00:00Z","timestamp":1598745600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,8,30]],"date-time":"2020-08-30T00:00:00Z","timestamp":1598745600000},"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":["71871072","71571054"],"award-info":[{"award-number":["71871072","71571054"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s00500-020-05278-9","type":"journal-article","created":{"date-parts":[[2020,8,30]],"date-time":"2020-08-30T16:02:41Z","timestamp":1598803361000},"page":"2069-2083","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Consistency-index-driven group decision making under the environment of triangular fuzzy numbers"],"prefix":"10.1007","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3691-6902","authenticated-orcid":false,"given":"Fang","family":"Liu","sequence":"first","affiliation":[]},{"given":"Caixia","family":"Huang","sequence":"additional","affiliation":[]},{"given":"Tong","family":"Liu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,8,30]]},"reference":[{"issue":"2","key":"5278_CR1","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1016\/S0377-2217(02)00544-1","volume":"145","author":"J Aguar\u00f3n","year":"2003","unstructured":"Aguar\u00f3n J, Escobar MT, Moreno-Jim\u00e9nez JM (2003) Consistency stability intervals for a judgement in AHP decision support systems. Eur J Oper Res 145(2):382\u2013393","journal-title":"Eur J Oper Res"},{"issue":"1","key":"5278_CR2","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/S0377-2217(02)00255-2","volume":"147","author":"J Aguar\u00f3n","year":"2003","unstructured":"Aguar\u00f3n J, Moreno-Jim\u00e9nez JM (2003) The geometic consistency index: Approximated thresholds. Eur J Oper Res 147(1):137\u2013145","journal-title":"Eur J Oper Res"},{"key":"5278_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-29127-2","volume-title":"On Intuitionistic Fuzzy Sets Theory","author":"KT Atanassov","year":"2012","unstructured":"Atanassov KT (2012) On Intuitionistic Fuzzy Sets Theory. Springer-Verlag, Berlin Heidelberg"},{"issue":"4","key":"5278_CR4","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1287\/mnsc.1090.1123","volume":"56","author":"M Bernasconi","year":"2010","unstructured":"Bernasconi M, Choirat C, Seri R (2010) The Analytic Hierarchy Process and the theory of measurement. Manag Sci 56(4):699\u2013711","journal-title":"Manag Sci"},{"key":"5278_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-12502-2","volume-title":"Introduction to the Analytic Hierarchy Process","author":"M Brunelli","year":"2015","unstructured":"Brunelli M (2015) Introduction to the Analytic Hierarchy Process. Springer, New York"},{"key":"5278_CR6","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1007\/s10479-016-2166-8","volume":"248","author":"M Brunelli","year":"2017","unstructured":"Brunelli M (2017) Studying a set of properties of inconsistency indices for pairwise compairisons. Ann Oper Res 248:143\u2013161","journal-title":"Ann Oper Res"},{"key":"5278_CR7","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1007\/s10479-013-1329-0","volume":"211","author":"M Brunelli","year":"2013","unstructured":"Brunelli M, Canal L, Fedrizzi M (2013) Inconsistency indices for pairwise comparison matrices: A numerical study. Ann Oper Res 211:493\u2013509","journal-title":"Ann Oper Res"},{"issue":"1","key":"5278_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1057\/jors.2013.135","volume":"66","author":"M Brunelli","year":"2015","unstructured":"Brunelli M, Fedrizzi M (2015) Axiomatic properties of inconsistency indices for pairwise comparisons. J Oper Res Soc 66(1):1\u201315","journal-title":"J Oper Res Soc"},{"key":"5278_CR9","doi-asserted-by":"crossref","first-page":"13351","DOI":"10.1007\/s00500-019-03876-w","volume":"23","author":"HM Chen","year":"2019","unstructured":"Chen HM, Hu CF, Yeh WC (2019) Option pricing and the Greeks under Gaussian fuzzy environments. Soft Comput 23:13351\u201313374","journal-title":"Soft Comput"},{"issue":"2","key":"5278_CR10","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1016\/j.ejor.2009.03.029","volume":"201","author":"E Conde","year":"2010","unstructured":"Conde E, P\u00e9rez M (2010) A linear optimization problem to derive relative weights using an interval judgement matrix. Eur J Oper Res 201(2):537\u2013544","journal-title":"Eur J Oper Res"},{"issue":"4","key":"5278_CR11","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1016\/0022-2496(85)90002-1","volume":"29","author":"G Crawford","year":"1985","unstructured":"Crawford G, Williams C (1985) A note on the analysis of subjective judgment matrices. J Math Psychol 29(4):387\u2013405","journal-title":"J Math Psychol"},{"key":"5278_CR12","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s00500-019-04285-9","volume":"24","author":"A De","year":"2020","unstructured":"De A, Kundu P, Das S, Kar S (2020) A ranking method based on interval type-2 fuzzy sets for multiple attribute group decision making. Soft Comput 24:131\u2013154","journal-title":"Soft Comput"},{"key":"5278_CR13","doi-asserted-by":"crossref","first-page":"2321","DOI":"10.1007\/s00500-014-1426-2","volume":"19","author":"YC Dong","year":"2015","unstructured":"Dong YC, Chen X, Li CC, Hong WC, Xu YF (2015) Consistency issues of interval pairwise comparison matrices. Soft Comput 19:2321\u20132335","journal-title":"Soft Comput"},{"key":"5278_CR14","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/j.knosys.2016.10.005","volume":"114","author":"YC Dong","year":"2016","unstructured":"Dong YC, Li CC, Chilana F, Herrera-Viedam E (2016) Average-case consistency measurement and analysis of interval-valued reciprocal preference relations. Knowl-Based Syst 114:108\u2013117","journal-title":"Knowl-Based Syst"},{"issue":"1","key":"5278_CR15","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/j.fss.2011.06.003","volume":"184","author":"D Dubois","year":"2011","unstructured":"Dubois D (2011) The role of fuzzy sets in decision sciences: Old techniques and new directions. Fuzzy Sets Syst 184(1):3\u201328","journal-title":"Fuzzy Sets Syst"},{"key":"5278_CR16","volume-title":"Fuzzy Sets and Systems: Theory and Applications","author":"D Dubois","year":"1980","unstructured":"Dubois D, Prade H (1980) Fuzzy Sets and Systems: Theory and Applications. Academic, New York"},{"key":"5278_CR17","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.ins.2019.11.035","volume":"517","author":"H Garg","year":"2020","unstructured":"Garg H, Chen SM (2020) Multiattribute group decision making based on neutrality aggregation operators of q-rung orthopair fuzzy sets. Inf Sci 517:427\u2013447","journal-title":"Inf Sci"},{"key":"5278_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-50244-6","volume-title":"The Analytic Hierarchy Process: Applications and Studies","author":"BL Golden","year":"1989","unstructured":"Golden BL, Wasil EA, Harker PT (1989) The Analytic Hierarchy Process: Applications and Studies. Springer, Berlin"},{"key":"5278_CR19","doi-asserted-by":"crossref","first-page":"1511","DOI":"10.1007\/s00500-017-2871-5","volume":"23","author":"XJ Gou","year":"2019","unstructured":"Gou XJ, Xu ZS, Liao HC (2019) Group decision making with compatibility measures of hesitant fuzzy linguistic preference relations. Soft Comput 23:1511\u20131527","journal-title":"Soft Comput"},{"issue":"2","key":"5278_CR20","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":"5278_CR21","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1109\/TSMCB.2006.875872","volume":"37","author":"E Herrera-Viedma","year":"2007","unstructured":"Herrera-Viedma E, Chiclana F, Herrera F, Alonso S (2007) Group decision-making model with incomplete fuzzy preference relations based on additive consistency. IEEE Trans Syst, Man Cybern, Part B: Cybern 37(1):176\u2013189","journal-title":"IEEE Trans Syst, Man Cybern, Part B: Cybern"},{"key":"5278_CR22","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/j.asoc.2018.10.021","volume":"74","author":"C Jana","year":"2019","unstructured":"Jana C, Senapati T, Pal M, Yager RR (2019) Picture fuzzy Dombi aggregation operators: Application to MADM process. Appl Soft Comput J 74:99\u2013109","journal-title":"Appl Soft Comput J"},{"key":"5278_CR23","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.eswa.2018.09.023","volume":"116","author":"D Kacprzak","year":"2019","unstructured":"Kacprzak D (2019) A doubly extended TOPSIS method for group decision making based on ordered fuzzy numbers. Expert Syst Appl 116:243\u2013254","journal-title":"Expert Syst Appl"},{"issue":"1","key":"5278_CR24","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/j.ejor.2013.10.019","volume":"235","author":"G Kou","year":"2014","unstructured":"Kou G, Lin C (2014) A cosine maximization method for the priority vector derivation in AHP. Eur J Oper Res 235(1):225\u2013232","journal-title":"Eur J Oper Res"},{"key":"5278_CR25","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/j.inffus.2018.12.004","volume":"52","author":"CC Li","year":"2019","unstructured":"Li CC, Dong YC, Xu YJ, Chiclana F, Herrera-Viedma F, Herrera F (2019) An overview on managing additive consistency of reciprocal preference relations for consistency-driven decision making and fusion: Taxonomy and future directions. Inf Fusion 52:143\u2013156","journal-title":"Inf Fusion"},{"key":"5278_CR26","volume-title":"Uncertainty Theory: A Branch of Mathematics for Modelling Human Uncertainty","author":"BD Liu","year":"2010","unstructured":"Liu BD (2010) Uncertainty Theory: A Branch of Mathematics for Modelling Human Uncertainty. Springer-Verlag, Berlin"},{"key":"5278_CR27","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1016\/j.asoc.2018.01.020","volume":"65","author":"F Liu","year":"2018","unstructured":"Liu F, Liu ZL, Wu YH (2018a) A group decision making model based on triangular fuzzy additive reciprocal matrices with additive approximation-consistency. Appl Soft Comput 65:349\u2013359","journal-title":"Appl Soft Comput"},{"key":"5278_CR28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2017.02.004","volume":"322","author":"F Liu","year":"2017","unstructured":"Liu F, Pedrycz W, Wang ZX, Zhang WG (2017) An axiomatic approach to approximation-consistency of triangular fuzzy reciprocal preference relations. Fuzzy Sets Syst 322:1\u201318","journal-title":"Fuzzy Sets Syst"},{"key":"5278_CR29","doi-asserted-by":"publisher","DOI":"10.1007\/s42488-019-00019-6","author":"F Liu","year":"2020","unstructured":"Liu F, Yu Q, Huang MJ, Ralescu DA (2020a) An inconsistency index of interval additive reciprocalmatrices with application to group decision making. J Data Inf Manag. https:\/\/doi.org\/10.1007\/s42488-019-00019-6","journal-title":"J Data Inf Manag"},{"key":"5278_CR30","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/j.knosys.2018.01.001","volume":"145","author":"F Liu","year":"2018","unstructured":"Liu F, Yu Q, Pedrycz W, Zhang WG (2018b) A group decision making model based on an inconsistency index of interval multiplicative reciprocal matrices. Knowl-Based Syst 145:67\u201376","journal-title":"Knowl-Based Syst"},{"key":"5278_CR31","doi-asserted-by":"crossref","first-page":"105642","DOI":"10.1016\/j.knosys.2020.105642","volume":"195","author":"F Liu","year":"2020","unstructured":"Liu F, Zhang JW, Zhang WG, Pedrycz W (2020a) Decision making with a sequential modeling of pairwise comparison process. Knowl-Based Syst 195:105642","journal-title":"Knowl-Based Syst"},{"issue":"3","key":"5278_CR32","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, Zhang WG, Zhang LH (2014) Consistency analysis of trangular fuzzy reciprocal preference relations. Eur J Oper Res 235(3):718\u2013726","journal-title":"Eur J Oper Res"},{"key":"5278_CR33","first-page":"125059","volume":"374","author":"F Liu","year":"2020","unstructured":"Liu F, Zou SC, Li Q (2020b) Deriving priorities from pairwise comparison matrices with a novel consistency index. Appl Math Comput 374:125059","journal-title":"Appl Math Comput"},{"issue":"1","key":"5278_CR34","first-page":"118","volume":"36","author":"XW Liu","year":"2006","unstructured":"Liu XW (2006) Some properties of the weighted OWA operator. IEEE Trans Syst, Man Cybern, Part B: Cybern 36(1):118\u2013127","journal-title":"IEEE Trans Syst, Man Cybern, Part B: Cybern"},{"key":"5278_CR35","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2016.12.010","volume":"315","author":"FY Meng","year":"2017","unstructured":"Meng FY, Lin J, Tan CQ, Zhang Q (2017) A new multiplicative consistency based method for decision making with triangular fuzzy reciprocal preference relations. Fuzzy Sets Syst 315:1\u201325","journal-title":"Fuzzy Sets Syst"},{"issue":"5","key":"5278_CR36","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z Pawlak","year":"1982","unstructured":"Pawlak Z (1982) Rough sets. Int J Comput Inform Sci 11(5):341\u2013356","journal-title":"Int J Comput Inform Sci"},{"key":"5278_CR37","doi-asserted-by":"crossref","DOI":"10.1007\/978-981-13-9891-9","volume-title":"Type-2 Fuzzy Decision-Making Theories, Methodologies and Applications","author":"JD Qin","year":"2019","unstructured":"Qin JD, Liu XW (2019) Type-2 Fuzzy Decision-Making Theories, Methodologies and Applications. Springer, Singapore"},{"key":"5278_CR38","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.omega.2014.11.009","volume":"53","author":"J Rezaei","year":"2015","unstructured":"Rezaei J (2015) Best-worst multi-criteria decision-making method. Omega 53:49\u201357","journal-title":"Omega"},{"key":"5278_CR39","volume-title":"The Analytic Hierarchy Process","author":"TL Saaty","year":"1980","unstructured":"Saaty TL (1980) The Analytic Hierarchy Process. McGraw-Hill, New York"},{"issue":"5","key":"5278_CR40","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1287\/opre.2013.1197","volume":"61","author":"TL Saaty","year":"2013","unstructured":"Saaty TL (2013) The modern science of multicriteria decision making and its practical applications: the AHP\/ANP approach. Oper Res 61(5):1101\u20131118","journal-title":"Oper Res"},{"key":"5278_CR41","volume-title":"Models, Metholds, Concepts & Applacations of Analytic Hierarchy Process (Second Version)","author":"TL Sasty","year":"2012","unstructured":"Sasty TL, Vargas LG (2012) Models, Metholds, Concepts & Applacations of Analytic Hierarchy Process (Second Version). Springer Science+Business Media, New York"},{"issue":"1\u20133","key":"5278_CR42","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/S0165-0114(83)80082-7","volume":"11","author":"PJM van Laarhoven","year":"1983","unstructured":"van Laarhoven PJM, Pedrycz W (1983) A fuzzy extension of Saaty\u2019s priority theory. Fuzzy Sets Syst 11(1\u20133):229\u2013241","journal-title":"Fuzzy Sets Syst"},{"issue":"1","key":"5278_CR43","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ejor.2004.04.028","volume":"169","author":"OS Vaidya","year":"2006","unstructured":"Vaidya OS, Kumar S (2006) Analytic hierarchy process: An overview of applications. Eur J Oper Res 169(1):1\u201329","journal-title":"Eur J Oper Res"},{"key":"5278_CR44","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.inffus.2017.06.003","volume":"40","author":"SP Wan","year":"2018","unstructured":"Wan SP, Wang F, Dong JY (2018) A group decision making method with interval valued fuzzy preference relations based on the geometric consistency. Inf Fusion 40:87\u2013100","journal-title":"Inf Fusion"},{"issue":"19","key":"5278_CR45","doi-asserted-by":"crossref","first-page":"3755","DOI":"10.1016\/j.ins.2008.05.028","volume":"178","author":"TC Wang","year":"2008","unstructured":"Wang TC, Chen YH (2008) Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP. Inf Sci 178(19):3755\u20133765","journal-title":"Inf Sci"},{"key":"5278_CR46","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/j.ins.2015.03.074","volume":"314","author":"ZJ Wang","year":"2015","unstructured":"Wang ZJ (2015) Consistency analysis and priority derivation of triangular fuzzy preference relations based on modal value and geometric mean. Inf Sci 314:169\u2013183","journal-title":"Inf Sci"},{"key":"5278_CR47","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.ins.2017.03.028","volume":"402","author":"ZJ Wang","year":"2017","unstructured":"Wang ZJ, Lin J (2017) Acceptablility measurement and priority weight elicitation of triangular fuzzy multiplicative preference relations based on geometric consistency and uncertainty indices. Inf Sci 402:105\u2013123","journal-title":"Inf Sci"},{"key":"5278_CR48","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.ins.2016.04.047","volume":"361\u2013362","author":"ZJ Wang","year":"2016","unstructured":"Wang ZJ, Tong XY (2016) Consistency analysis and group decision making based on triangular fuzzy additive reciprocal preference relations. Inf Sci 361\u2013362:29\u201347","journal-title":"Inf Sci"},{"key":"5278_CR49","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1016\/j.ins.2014.04.025","volume":"279","author":"J Wu","year":"2014","unstructured":"Wu J, Chiclana F (2014) Visual information feedback mechanism and attitudinal prioritisation method for group decision making with triangular fuzzy complementary preference relations. Inf Sci 279:716\u2013734","journal-title":"Inf Sci"},{"key":"5278_CR50","doi-asserted-by":"crossref","first-page":"3923","DOI":"10.1007\/s00500-019-04160-7","volume":"24","author":"P Wu","year":"2020","unstructured":"Wu P, Zhou LG, Chen HY, Zhou H (2020) An improved fuzzy risk analysis by using a new similarity measure with center of gravity and area of trapezoidal fuzzy numbers. Soft Comput 24:3923\u20133936","journal-title":"Soft Comput"},{"issue":"3","key":"5278_CR51","doi-asserted-by":"crossref","first-page":"683","DOI":"10.1016\/S0377-2217(99)00082-X","volume":"126","author":"ZS Xu","year":"2000","unstructured":"Xu ZS (2000) On consistency of the weighted geometric mean complex judgement matrix in AHP. Eur J Oper Res 126(3):683\u2013687","journal-title":"Eur J Oper Res"},{"issue":"2","key":"5278_CR52","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1002\/int.20330","volume":"24","author":"ZS Xu","year":"2009","unstructured":"Xu ZS (2009) Fuzzy harmonic mean operators. Int J Intell Syst 24(2):152\u2013172","journal-title":"Int J Intell Syst"},{"issue":"9","key":"5278_CR53","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1002\/int.10127","volume":"18","author":"ZS Xu","year":"2003","unstructured":"Xu ZS, Da QL (2003) An overview of operators for aggregating information. Int J Intell Syst 18(9):953\u2013969","journal-title":"Int J Intell Syst"},{"issue":"1","key":"5278_CR54","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 mulitcriteria decision making. IEEE Trans Syst, Man Cybern 18(1):183\u2013190","journal-title":"IEEE Trans Syst, Man Cybern"},{"issue":"2","key":"5278_CR55","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/0165-0114(93)90194-M","volume":"59","author":"RR Yager","year":"1993","unstructured":"Yager RR (1993) Families of OWA operators. Fuzzy Sets Syst 59(2):125\u2013148","journal-title":"Fuzzy Sets Syst"},{"key":"5278_CR56","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1002\/(SICI)1098-111X(199601)11:1<49::AID-INT3>3.0.CO;2-Z","volume":"11","author":"RR Yager","year":"1996","unstructured":"Yager RR (1996) Quantifier guided aggregation using OWA operators. Int J Intell Syst 11:49\u201373","journal-title":"Int J Intell Syst"},{"issue":"3","key":"5278_CR57","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":"Control"},{"key":"5278_CR58","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/0898-1221(83)90013-5","volume":"9","author":"LA Zadeh","year":"1983","unstructured":"Zadeh LA (1983) A computational approach to fuzzy quantifiers in natural languages. Comput Math Appl 9:149\u2013184","journal-title":"Comput Math Appl"},{"key":"5278_CR59","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1016\/j.cie.2019.04.030","volume":"132","author":"HM Zhang","year":"2019","unstructured":"Zhang HM (2019) Revisiting multiplicative consistency of interval fuzzy preference relation. Comput Ind Eng 132:325\u2013332","journal-title":"Comput Ind Eng"},{"key":"5278_CR60","doi-asserted-by":"crossref","first-page":"2709","DOI":"10.1007\/s00500-015-1975-z","volume":"21","author":"YY Zhou","year":"2017","unstructured":"Zhou YY, Cheng LH, Zhou LG, Chen HY, Ge JQ (2017) A group decision making approach for trapezoidal fuzzy preference relations with compatibility measure. Soft Comput 21:2709\u20132721","journal-title":"Soft Comput"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-020-05278-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-020-05278-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-020-05278-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,6]],"date-time":"2023-10-06T14:32:16Z","timestamp":1696602736000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-020-05278-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,30]]},"references-count":60,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["5278"],"URL":"https:\/\/doi.org\/10.1007\/s00500-020-05278-9","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"type":"print","value":"1432-7643"},{"type":"electronic","value":"1433-7479"}],"subject":[],"published":{"date-parts":[[2020,8,30]]},"assertion":[{"value":"30 August 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":"All authors declare that they have 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:"}}]}}