{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T05:35:22Z","timestamp":1768714522426,"version":"3.49.0"},"reference-count":69,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2022,7,2]],"date-time":"2022-07-02T00:00:00Z","timestamp":1656720000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2022,7,2]],"date-time":"2022-07-02T00:00:00Z","timestamp":1656720000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/S001328\/1"],"award-info":[{"award-number":["EP\/S001328\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Ambient Intell Human Comput"],"published-print":{"date-parts":[[2023,10]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>How to solve a multi-criterion decision-making (MCDM) problem with linguistic interval-valued intuitionistic fuzzy numbers (LIVIFNs) effectively is an important research topic. So far, a number of methods for solving this problem have been presented within the academia. Each of these methods can work well in specific situation. But they could produce undesirable decision-making results when the information for decision-making is insufficient or acquisition of the information needs a certain cost, since all of them are based on conventional two-way decision model. In this paper, three-way decision model is introduced into linguistic interval-valued intuitionistic fuzzy environment and a multi-criterion three-way decision-making method under this environment is presented. A specific relative loss function derived from an LIVIFN is established and corresponding three-way decision rules are developed. Based on the established function and developed rules, a three-way decision method for solving an MCDM problem with LIVIFNs is proposed. The application of the proposed method is illustrated via a practical example. The effectiveness and advantage of the method are demonstrated via an experimental comparison with some existing methods. The comparison results suggest that the proposed method is as effective as the existing methods and is more flexible than the existing methods in solving an MCDM problem with LIVIFNs.<\/jats:p>","DOI":"10.1007\/s12652-022-04102-6","type":"journal-article","created":{"date-parts":[[2022,7,2]],"date-time":"2022-07-02T03:28:15Z","timestamp":1656732495000},"page":"13915-13929","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["A multi-criterion three-way decision-making method under linguistic interval-valued intuitionistic fuzzy environment"],"prefix":"10.1007","volume":"14","author":[{"given":"Yuchu","family":"Qin","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5936-1714","authenticated-orcid":false,"given":"Qunfen","family":"Qi","sequence":"additional","affiliation":[]},{"given":"Peizhi","family":"Shi","sequence":"additional","affiliation":[]},{"given":"Paul J.","family":"Scott","sequence":"additional","affiliation":[]},{"given":"Xiangqian","family":"Jiang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,7,2]]},"reference":[{"issue":"3","key":"4102_CR1","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/0165-0114(89)90205-4","volume":"31","author":"K Atanassov","year":"1989","unstructured":"Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31(3):343\u2013349","journal-title":"Fuzzy Sets Syst"},{"key":"4102_CR2","unstructured":"Bakbak D, Ulu\u00e7ay V (2019) Multicriteria decision-making method using the cosine vector similarity measure under intuitionistic trapezoidal fuzzy multi-numbers in architecture. In: Proceedings of the 6th international multidisciplinary studies congress (Multicongress\u2019 19), Gaziantep, T\u00fcrkiye"},{"key":"4102_CR3","unstructured":"Bakbak D, Ulu\u00e7ay V, \u015eahin M (2019) Intuitionistic trapezoidal fuzzy multi-numbers and some arithmetic averaging operators with their application in architecture. In: Proceedings of the 6th international multidisciplinary studies congress (Multicongress\u2019 19), Gaziantep, T\u00fcrkiye"},{"key":"4102_CR4","doi-asserted-by":"crossref","first-page":"702","DOI":"10.1016\/j.ins.2014.04.022","volume":"279","author":"X Deng","year":"2014","unstructured":"Deng X, Yao Y (2014) Decision-theoretic three-way approximations of fuzzy sets. Inf Sci 279:702\u2013715","journal-title":"Inf Sci"},{"key":"4102_CR5","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.ins.2021.10.051","volume":"584","author":"J Du","year":"2022","unstructured":"Du J, Liu S, Liu Y, Yi J (2022) A novel approach to three-way conflict analysis and resolution with Pythagorean fuzzy information. Inf Sci 584:65\u201388","journal-title":"Inf Sci"},{"issue":"21","key":"4102_CR6","doi-asserted-by":"crossref","first-page":"15907","DOI":"10.1007\/s00500-020-05282-z","volume":"24","author":"A Fahmi","year":"2020","unstructured":"Fahmi A, Amin F, Niaz S (2020) Decision making based on linguistic interval-valued intuitionistic neutrosophic dombi fuzzy hybrid weighted geometric operator. Soft Comput 24(21):15907\u201315925","journal-title":"Soft Comput"},{"issue":"2","key":"4102_CR7","doi-asserted-by":"crossref","first-page":"2061","DOI":"10.3934\/math.2022118","volume":"7","author":"F Feng","year":"2022","unstructured":"Feng F, Wan Z, Alcantud JCR, Garg H (2022) Three-way decision based on canonical soft sets of hesitant fuzzy sets. AIMS Math 7(2):2061\u20132083","journal-title":"AIMS Math"},{"key":"4102_CR8","doi-asserted-by":"publisher","DOI":"10.1080\/01605682.2021.1997654","author":"Y Gao","year":"2021","unstructured":"Gao Y, Zhang Z (2021) Consensus reaching with non-cooperative behavior management for personalized individual semantics-based social network group decision making. J Oper Res Soc. https:\/\/doi.org\/10.1080\/01605682.2021.1997654","journal-title":"J Oper Res Soc"},{"key":"4102_CR9","doi-asserted-by":"crossref","first-page":"103276","DOI":"10.1016\/j.engappai.2019.103276","volume":"87","author":"Y Gao","year":"2020","unstructured":"Gao Y, Li D, Zhong H (2020) A novel target threat assessment method based on three-way decisions under intuitionistic fuzzy multi-attribute decision making environment. Eng Appl Artif Intell 87:103276","journal-title":"Eng Appl Artif Intell"},{"issue":"6","key":"4102_CR10","doi-asserted-by":"crossref","first-page":"1313","DOI":"10.1007\/s12559-020-09750-4","volume":"12","author":"H Garg","year":"2020","unstructured":"Garg H (2020) Linguistic interval-valued Pythagorean fuzzy sets and their application to multiple attribute group decision-making process. Cogn Comput 12(6):1313\u20131337","journal-title":"Cogn Comput"},{"issue":"1\u20132","key":"4102_CR11","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1002\/mcda.1654","volume":"26","author":"H Garg","year":"2019","unstructured":"Garg H, Kumar K (2019a) An extended technique for order preference by similarity to ideal solution group decision-making method with linguistic interval-valued intuitionistic fuzzy information. J Multi-Criteria Decis Anal 26(1\u20132):16\u201326","journal-title":"J Multi-Criteria Decis Anal"},{"issue":"12","key":"4102_CR12","doi-asserted-by":"crossref","first-page":"2302","DOI":"10.1109\/TFUZZ.2019.2897961","volume":"27","author":"H Garg","year":"2019","unstructured":"Garg H, Kumar K (2019b) Linguistic interval-valued Atanassov intuitionistic fuzzy sets and their applications to group decision making problems. IEEE Trans Fuzzy Syst 27(12):2302\u20132311","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"1","key":"4102_CR13","doi-asserted-by":"crossref","first-page":"445","DOI":"10.3934\/jimo.2018162","volume":"16","author":"H Garg","year":"2020","unstructured":"Garg H, Kumar K (2020) Group decision making approach based on possibility degree measure under linguistic interval-valued intuitionistic fuzzy set environment. J Ind Manag Optimiz 16(1):445\u2013467","journal-title":"J Ind Manag Optimiz"},{"issue":"2","key":"4102_CR14","doi-asserted-by":"crossref","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 Part B (Cybern) 31(2):227\u2013234","journal-title":"IEEE Trans Syst Man Cybern Part B (Cybern)"},{"key":"4102_CR15","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.ins.2018.08.051","volume":"471","author":"F Jia","year":"2019","unstructured":"Jia F, Liu P (2019) A novel three-way decision model under multiple-criteria environment. Inf Sci 471:29\u201351","journal-title":"Inf Sci"},{"key":"4102_CR16","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.ijar.2021.07.011","volume":"138","author":"F Jia","year":"2021","unstructured":"Jia F, Liu P (2021) Multi-attribute three-way decisions based on ideal solutions under interval-valued intuitionistic fuzzy environment. Int J Approx Reason 138:12\u201337","journal-title":"Int J Approx Reason"},{"key":"4102_CR17","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1016\/j.ins.2021.05.026","volume":"569","author":"H Jiang","year":"2021","unstructured":"Jiang H, Hu BQ (2021) A novel three-way group investment decision model under intuitionistic fuzzy multi-attribute group decision-making environment. Inf Sci 569:557\u2013581","journal-title":"Inf Sci"},{"issue":"10","key":"4102_CR18","doi-asserted-by":"crossref","first-page":"209","DOI":"10.3390\/math6100209","volume":"6","author":"K Kumar","year":"2018","unstructured":"Kumar K, Garg H (2018) Prioritized linguistic interval-valued aggregation operators and their applications in group decision-making problems. Mathematics 6(10):209","journal-title":"Mathematics"},{"issue":"3","key":"4102_CR19","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1109\/TFUZZ.2019.2908123","volume":"28","author":"G Lang","year":"2019","unstructured":"Lang G, Miao D, Fujita H (2019) Three-way group conflict analysis based on Pythagorean fuzzy set theory. IEEE Trans Fuzzy Syst 28(3):447\u2013461","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"4102_CR20","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/j.ins.2020.05.025","volume":"537","author":"W Lei","year":"2020","unstructured":"Lei W, Ma W, Sun B (2020) Multigranulation behavioral three-way group decisions under hesitant fuzzy linguistic environment. Inf Sci 537:91\u2013115","journal-title":"Inf Sci"},{"key":"4102_CR21","doi-asserted-by":"crossref","first-page":"282","DOI":"10.1016\/j.ins.2018.01.015","volume":"435","author":"D Liang","year":"2018","unstructured":"Liang D, Xu Z, Liu D, Wu Y (2018) Method for three-way decisions using ideal TOPSIS solutions at Pythagorean fuzzy information. Inf Sci 435:282\u2013295","journal-title":"Inf Sci"},{"key":"4102_CR22","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1016\/j.ins.2019.05.044","volume":"496","author":"D Liang","year":"2019","unstructured":"Liang D, Wang M, Xu Z (2019) Heterogeneous multi-attribute nonadditivity fusion for behavioral three-way decisions in interval type-2 fuzzy environment. Inf Sci 496:242\u2013263","journal-title":"Inf Sci"},{"key":"4102_CR23","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1016\/j.ins.2018.12.017","volume":"507","author":"D Liang","year":"2020","unstructured":"Liang D, Wang M, Xu Z, Liu D (2020) Risk appetite dual hesitant fuzzy three-way decisions with TODIM. Inf Sci 507:585\u2013605","journal-title":"Inf Sci"},{"key":"4102_CR24","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2021.3119758","author":"D Liang","year":"2021","unstructured":"Liang D, Fu Y, Xu Z, Tang W (2021) Loss function information fusion and decision rule deduction of three-way decisions by construing interval-valued q-rung orthopair fuzzy integral. IEEE Trans Fuzzy Syst. https:\/\/doi.org\/10.1109\/TFUZZ.2021.3119758","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"1","key":"4102_CR25","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1007\/s12559-018-9597-2","volume":"11","author":"P Liu","year":"2019","unstructured":"Liu P, Qin X (2019) A new decision-making method based on interval-valued linguistic intuitionistic fuzzy information. Cogn Comput 11(1):125\u2013144","journal-title":"Cogn Comput"},{"key":"4102_CR26","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/j.knosys.2015.07.036","volume":"91","author":"D Liu","year":"2016","unstructured":"Liu D, Liang D, Wang C (2016) A novel three-way decision model based on incomplete information system. Knowl-Based Syst 91:32\u201345","journal-title":"Knowl-Based Syst"},{"key":"4102_CR27","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/j.ijar.2019.12.020","volume":"119","author":"P Liu","year":"2020","unstructured":"Liu P, Wang Y, Jia F, Fujita H (2020) A multiple attribute decision making three-way model for intuitionistic fuzzy numbers. Int J Approx Reason 119:177\u2013203","journal-title":"Int J Approx Reason"},{"issue":"6","key":"4102_CR28","doi-asserted-by":"crossref","first-page":"1993","DOI":"10.1007\/s40815-019-00736-5","volume":"22","author":"Z Liu","year":"2020","unstructured":"Liu Z, Xu H, Liu P, Li L, Zhao X (2020) Interval-valued intuitionistic uncertain linguistic multi-attribute decision-making method for plant location selection with partitioned Hamy mean. Int J Fuzzy Syst 22(6):1993\u20132010","journal-title":"Int J Fuzzy Syst"},{"key":"4102_CR29","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2022.3151899","author":"J Liu","year":"2022","unstructured":"Liu J, Huang B, Li H, Bu X, Zhou X (2022) Optimization-based three-way decisions with interval-valued intuitionistic fuzzy information. IEEE Trans Cybern. https:\/\/doi.org\/10.1109\/TCYB.2022.3151899","journal-title":"IEEE Trans Cybern"},{"key":"4102_CR30","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1016\/j.ins.2021.12.072","volume":"588","author":"J Liu","year":"2022","unstructured":"Liu J, Mai J, Li H, Huang B, Liu Y (2022) On three perspectives for deriving three-way decision with linguistic intuitionistic fuzzy information. Inf Sci 588:350\u2013380","journal-title":"Inf Sci"},{"key":"4102_CR31","first-page":"2373762","volume":"2020","author":"Y Qin","year":"2020","unstructured":"Qin Y, Cui X, Huang M, Zhong Y, Tang Z, Shi P (2020) Linguistic interval-valued intuitionistic fuzzy Archimedean power Muirhead mean operators for Multiattribute group decision-making. Complexity 2020:2373762","journal-title":"Complexity"},{"key":"4102_CR32","doi-asserted-by":"crossref","first-page":"101926","DOI":"10.1016\/j.rcim.2019.101926","volume":"64","author":"Y Qin","year":"2020","unstructured":"Qin Y, Qi Q, Scott PJ, Jiang X (2020) An additive manufacturing process selection approach based on fuzzy Archimedean weighted power Bonferroni aggregation operators. Robot Comput Integr Manuf 64:101926","journal-title":"Robot Comput Integr Manuf"},{"issue":"4","key":"4102_CR33","doi-asserted-by":"crossref","first-page":"4643","DOI":"10.3233\/JIFS-191385","volume":"38","author":"Y Qin","year":"2020","unstructured":"Qin Y, Qi Q, Shi P, Scott PJ, Jiang X (2020) Linguistic interval-valued intuitionistic fuzzy Archimedean prioritised aggregation operators for multi-criteria decision making. J Intell Fuzzy Syst 38(4):4643\u20134666","journal-title":"J Intell Fuzzy Syst"},{"issue":"3","key":"4102_CR34","doi-asserted-by":"crossref","first-page":"4223","DOI":"10.3233\/JIFS-200845","volume":"40","author":"M Sajjad Ali Khan","year":"2021","unstructured":"Sajjad Ali Khan M, Sultan Khan A, Ali Khan I, Hussain F, Mashwani WK (2021) Linguistic interval-valued Q-rung Orthopair fuzzy TOPSIS method for decision making problem with incomplete weight. J Intell Fuzzy Syst 40(3):4223\u20134235","journal-title":"J Intell Fuzzy Syst"},{"key":"4102_CR35","doi-asserted-by":"crossref","first-page":"113366","DOI":"10.1016\/j.dss.2020.113366","volume":"137","author":"F Shen","year":"2020","unstructured":"Shen F, Zhao X, Kou G (2020) Three-stage reject inference learning framework for credit scoring using unsupervised transfer learning and three-way decision theory. Decis Support Syst 137:113366","journal-title":"Decis Support Syst"},{"issue":"4","key":"4102_CR36","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1007\/s10700-019-09304-w","volume":"18","author":"J Tang","year":"2019","unstructured":"Tang J, Meng F, Cabrerizo FJ, Herrera-Viedma E (2019) A procedure for group decision making with interval-valued intuitionistic linguistic fuzzy preference relations. Fuzzy Optim Decis Making 18(4):493\u2013527","journal-title":"Fuzzy Optim Decis Making"},{"issue":"2","key":"4102_CR37","first-page":"1233","volume":"10","author":"V Ulu\u00e7ay","year":"2020","unstructured":"Ulu\u00e7ay V (2020) A new similarity function of trapezoidal fuzzy multi-numbers based on multi-criteria decision making. J Inst Sci Technol 10(2):1233\u20131246","journal-title":"J Inst Sci Technol"},{"issue":"5","key":"4102_CR38","doi-asserted-by":"crossref","first-page":"1469","DOI":"10.1007\/s00521-016-2760-3","volume":"30","author":"V Ulu\u00e7ay","year":"2018","unstructured":"Ulu\u00e7ay V, Deli I, \u015eahin M (2018) Trapezoidal fuzzy multi-number and its application to multi-criteria decision-making problems. Neural Comput Appl 30(5):1469\u20131478","journal-title":"Neural Comput Appl"},{"issue":"1","key":"4102_CR39","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/s40747-018-0074-z","volume":"5","author":"V Ulu\u00e7ay","year":"2019","unstructured":"Ulu\u00e7ay V, Deli I, \u015eahin M (2019) Intuitionistic trapezoidal fuzzy multi-numbers and its application to multi-criteria decision-making problems. Complex Intell Syst 5(1):65\u201378","journal-title":"Complex Intell Syst"},{"key":"4102_CR40","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.knosys.2018.04.029","volume":"155","author":"P Wang","year":"2018","unstructured":"Wang P, Yao Y (2018) CE3: a three-way clustering method based on mathematical morphology. Knowl-Based Syst 155:54\u201365","journal-title":"Knowl-Based Syst"},{"issue":"2","key":"4102_CR41","doi-asserted-by":"crossref","first-page":"434","DOI":"10.1108\/RPJ-09-2015-0123","volume":"23","author":"Y Wang","year":"2017","unstructured":"Wang Y, Blache R, Xu X (2017) Selection of additive manufacturing processes. Rapid Prototyp J 23(2):434\u2013447","journal-title":"Rapid Prototyp J"},{"key":"4102_CR42","doi-asserted-by":"crossref","first-page":"482","DOI":"10.1016\/j.ins.2021.07.054","volume":"578","author":"J Wang","year":"2021","unstructured":"Wang J, Ma X, Dai J, Zhan J (2021) A novel three-way decision approach under hesitant fuzzy information. Inf Sci 578:482\u2013506","journal-title":"Inf Sci"},{"key":"4102_CR43","doi-asserted-by":"crossref","first-page":"328","DOI":"10.1016\/j.ins.2020.12.005","volume":"552","author":"J Wang","year":"2021","unstructured":"Wang J, Ma X, Xu Z, Zhan J (2021) Three-way multi-attribute decision making under hesitant fuzzy environments. Inf Sci 552:328\u2013351","journal-title":"Inf Sci"},{"key":"4102_CR44","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/j.ins.2021.12.079","volume":"588","author":"J Wang","year":"2022","unstructured":"Wang J, Ma X, Xu Z, Zhan J (2022) A three-way decision approach with risk strategies in hesitant fuzzy decision information systems. Inf Sci 588:293\u2013314","journal-title":"Inf Sci"},{"key":"4102_CR45","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/j.ins.2022.01.025","volume":"592","author":"Q Wang","year":"2022","unstructured":"Wang Q, Dai J, Xu Z (2022) A new three-way multi-criteria decision-making method with fuzzy complementary preference relations based on additive consistency. Inf Sci 592:277\u2013305","journal-title":"Inf Sci"},{"key":"4102_CR46","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1016\/j.ins.2021.09.018","volume":"582","author":"W Wang","year":"2022","unstructured":"Wang W, Zhan J, Mi J (2022) A three-way decision approach with probabilistic dominance relations under intuitionistic fuzzy information. Inf Sci 582:114\u2013145","journal-title":"Inf Sci"},{"issue":"1\u20134","key":"4102_CR47","doi-asserted-by":"crossref","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(1\u20134):19\u201330","journal-title":"Inf Sci"},{"key":"4102_CR48","first-page":"6179468","volume":"2020","author":"L Xu","year":"2020","unstructured":"Xu L, Liu Y, Liu H (2020) Linguistic interval-valued intuitionistic fuzzy Copula Heronian mean operators for multiattribute group decision-making. J Math 2020:6179468","journal-title":"J Math"},{"issue":"1","key":"4102_CR49","doi-asserted-by":"crossref","first-page":"605","DOI":"10.3233\/JIFS-200387","volume":"40","author":"L Xu","year":"2021","unstructured":"Xu L, Yi L, Liu H (2021) Linguistic interval-valued intuitionistic fuzzy copula power aggregation operators for multiattribute group decision making. J Intell Fuzzy Syst 40(1):605\u2013624","journal-title":"J Intell Fuzzy Syst"},{"key":"4102_CR50","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/j.ijar.2018.11.001","volume":"104","author":"X Yang","year":"2019","unstructured":"Yang X, Li T, Fujita H, Liu D (2019) A sequential three-way approach to multi-class decision. Int J Approx Reason 104:108\u2013125","journal-title":"Int J Approx Reason"},{"issue":"3","key":"4102_CR51","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/j.ins.2009.09.021","volume":"180","author":"Y Yao","year":"2010","unstructured":"Yao Y (2010) Three-way decisions with probabilistic rough sets. Inf Sci 180(3):341\u2013353","journal-title":"Inf Sci"},{"issue":"6","key":"4102_CR52","doi-asserted-by":"crossref","first-page":"1080","DOI":"10.1016\/j.ins.2010.11.019","volume":"181","author":"Y Yao","year":"2011","unstructured":"Yao Y (2011) The superiority of three-way decisions in probabilistic rough set models. Inf Sci 181(6):1080\u20131096","journal-title":"Inf Sci"},{"key":"4102_CR53","first-page":"1","volume-title":"Theory and application of three-way decisions","author":"Y Yao","year":"2012","unstructured":"Yao Y (2012) Three-way decisions. In: Jia X, Shang L, Zhou X, Liang J, Miao D, Wang G, Li T, Zhang Y (eds) Theory and application of three-way decisions. Nanjing University Press, Nanjing, pp 1\u201316"},{"issue":"1","key":"4102_CR54","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s13042-016-0568-1","volume":"8","author":"Y Yao","year":"2017","unstructured":"Yao Y (2017) Interval sets and three-way concept analysis in incomplete contexts. Int J Mach Learn Cybern 8(1):3\u201320","journal-title":"Int J Mach Learn Cybern"},{"key":"4102_CR55","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.knosys.2019.05.016","volume":"180","author":"Y Yao","year":"2019","unstructured":"Yao Y (2019) Three-way conflict analysis: reformulations and extensions of the Pawlak model. Knowl-Based Syst 180:26\u201337","journal-title":"Knowl-Based Syst"},{"key":"4102_CR56","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1016\/j.ins.2020.06.050","volume":"541","author":"J Ye","year":"2020","unstructured":"Ye J, Zhan J, Xu Z (2020) A novel decision-making approach based on three-way decisions in fuzzy information systems. Inf Sci 541:362\u2013390","journal-title":"Inf Sci"},{"issue":"3","key":"4102_CR57","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1007\/s13042-020-01195-3","volume":"12","author":"D Ye","year":"2021","unstructured":"Ye D, Liang D, Li T, Liang S (2021) Multi-classification decision-making method for interval-valued intuitionistic fuzzy three-way decisions and its application in the group decision-making. Int J Mach Learn Cybern 12(3):661\u2013687","journal-title":"Int J Mach Learn Cybern"},{"issue":"10","key":"4102_CR58","doi-asserted-by":"crossref","first-page":"2844","DOI":"10.1109\/TFUZZ.2020.3007423","volume":"29","author":"J Zhan","year":"2021","unstructured":"Zhan J, Jiang H, Yao Y (2021) Three-way multi-attribute decision-making based on outranking relations. IEEE Trans Fuzzy Syst 29(10):2844\u20132858","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"4102_CR59","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2021.3078012","author":"J Zhan","year":"2021","unstructured":"Zhan J, Ye J, Ding W, Liu P (2021) A novel three-way decision model based on utility theory in incomplete fuzzy decision systems. IEEE Trans Fuzzy Syst. https:\/\/doi.org\/10.1109\/TFUZZ.2021.3078012","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"4102_CR60","first-page":"432092","volume":"2014","author":"H Zhang","year":"2014","unstructured":"Zhang H (2014) Linguistic intuitionistic fuzzy sets and application in MAGDM. J Appl Math 2014:432092","journal-title":"J Appl Math"},{"key":"4102_CR61","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ins.2022.03.055","volume":"599","author":"K Zhang","year":"2022","unstructured":"Zhang K, Dai J (2022) Three-way multi-criteria group decision-making method in a fuzzy $$\\beta $$-covering group approximation space. Inf Sci 599:1\u201324","journal-title":"Inf Sci"},{"key":"4102_CR62","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2021.3129510","author":"Z Zhang","year":"2021","unstructured":"Zhang Z, Li Z (2021) Personalized individual semantics-based consistency control and consensus reaching in linguistic group decision making. IEEE Trans Syst Man Cybern Syst. https:\/\/doi.org\/10.1109\/TSMC.2021.3129510","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"key":"4102_CR63","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.ins.2018.10.030","volume":"477","author":"Y Zhang","year":"2019","unstructured":"Zhang Y, Zhang Z, Miao D, Wang J (2019) Three-way enhanced convolutional neural networks for sentence-level sentiment classification. Inf Sci 477:55\u201364","journal-title":"Inf Sci"},{"key":"4102_CR64","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/j.ijar.2021.08.004","volume":"138","author":"C Zhang","year":"2021","unstructured":"Zhang C, Ding J, Li D, Zhan J (2021) A novel multi-granularity three-way decision making approach in q-rung orthopair fuzzy information systems. Int J Approx Reason 138:161\u2013187","journal-title":"Int J Approx Reason"},{"key":"4102_CR65","doi-asserted-by":"crossref","first-page":"114311","DOI":"10.1016\/j.eswa.2020.114311","volume":"168","author":"Z Zhang","year":"2021","unstructured":"Zhang Z, Gao J, Gao Y, Yu W (2021) Two-sided matching decision making with multi-granular hesitant fuzzy linguistic term sets and incomplete criteria weight information. Expert Syst Appl 168:114311","journal-title":"Expert Syst Appl"},{"issue":"8","key":"4102_CR66","doi-asserted-by":"crossref","first-page":"1914","DOI":"10.1080\/01605682.2020.1748529","volume":"72","author":"Z Zhang","year":"2021","unstructured":"Zhang Z, Kou X, Yu W, Gao Y (2021) Consistency improvement for fuzzy preference relations with self-confidence: an application in two-sided matching decision making. J Oper Res Soci 72(8):1914\u20131927","journal-title":"J Oper Res Soci"},{"key":"4102_CR67","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/j.inffus.2021.04.006","volume":"74","author":"Z Zhang","year":"2021","unstructured":"Zhang Z, Li Z, Gao Y (2021) Consensus reaching for group decision making with multi-granular unbalanced linguistic information: a bounded confidence and minimum adjustment-based approach. Inf Fus 74:96\u2013110","journal-title":"Inf Fus"},{"key":"4102_CR68","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/j.ins.2019.05.022","volume":"497","author":"XR Zhao","year":"2019","unstructured":"Zhao XR, Yao Y (2019) Three-way fuzzy partitions defined by shadowed sets. Inf Sci 497:23\u201337","journal-title":"Inf Sci"},{"issue":"4","key":"4102_CR69","doi-asserted-by":"crossref","first-page":"668","DOI":"10.3390\/sym12040668","volume":"12","author":"WB Zhu","year":"2020","unstructured":"Zhu WB, Shuai B, Zhang SH (2020) The linguistic interval-valued intuitionistic fuzzy aggregation operators based on extended Hamacher T-norm and S-norm and their application. Symmetry 12(4):668","journal-title":"Symmetry"}],"container-title":["Journal of Ambient Intelligence and Humanized Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12652-022-04102-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12652-022-04102-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12652-022-04102-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,22]],"date-time":"2023-08-22T18:43:42Z","timestamp":1692729822000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12652-022-04102-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,7,2]]},"references-count":69,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2023,10]]}},"alternative-id":["4102"],"URL":"https:\/\/doi.org\/10.1007\/s12652-022-04102-6","relation":{},"ISSN":["1868-5137","1868-5145"],"issn-type":[{"value":"1868-5137","type":"print"},{"value":"1868-5145","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,7,2]]},"assertion":[{"value":"3 December 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 June 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 July 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The 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 standard"}},{"value":"Informed consent was taken from all individual participants included in the study.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Informed consent"}}]}}