{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T04:00:43Z","timestamp":1772769643989,"version":"3.50.1"},"reference-count":58,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2023,7,31]],"date-time":"2023-07-31T00:00:00Z","timestamp":1690761600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2023,7,31]],"date-time":"2023-07-31T00:00:00Z","timestamp":1690761600000},"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"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/P006930\/1"],"award-info":[{"award-number":["EP\/P006930\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cogn Comput"],"published-print":{"date-parts":[[2023,11]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>An aggregation operator of linguistic interval-valued intuitionistic fuzzy numbers (LIVIFNs) is an important tool for solving cognitively inspired decision-making problems with LIVIFNs. So far, many aggregation operators of LIVIFNs have been presented. Each of these operators works well in its specific context. But they are not always monotone because their operational rules are not always invariant and persistent. Dempster-Shafer evidence theory, a general framework for modelling epistemic uncertainty, was found to provide the capability for operational rules of fuzzy numbers to overcome these limitations. In this paper, a weighted averaging operator of LIVIFNs based on Dempster-Shafer evidence theory for cognitively inspired decision-making is proposed. Firstly, Dempster-Shafer evidence theory is introduced into linguistic interval-valued intuitionistic fuzzy environment and a definition of LIVIFNs under this theory is given. Based on this, four novel operational rules of LIVIFNs are developed and proved to be always invariant and persistent. Using the developed operational rules, a new weighted averaging operator of LIVIFNs is constructed and proved to be always monotone. Based on the constructed operator, a method for solving cognitively inspired decision-making problems with LIVIFNs is presented. The application of the presented method is illustrated via a numerical example. The effectiveness and advantage of the method are demonstrated via quantitative comparisons with several existing methods. For the numerical example, the best alternative determined by the presented method is exactly the same as that determined by other comparison methods. For some specific problems, only the presented method can generate intuitive ranking results. The demonstration results suggest that the presented method is effective in solving cognitively inspired decision-making problems with LIVIFNs. Furthermore, the method will not produce counterintuitive ranking results since its operational rules are always invariant and persistent and its aggregation operator is always monotone.<\/jats:p>","DOI":"10.1007\/s12559-023-10167-y","type":"journal-article","created":{"date-parts":[[2023,7,31]],"date-time":"2023-07-31T16:02:25Z","timestamp":1690819345000},"page":"2101-2119","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A Novel Weighted Averaging Operator of Linguistic Interval-Valued Intuitionistic Fuzzy Numbers for Cognitively Inspired Decision-Making"],"prefix":"10.1007","volume":"15","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":[[2023,7,31]]},"reference":[{"issue":"3","key":"10167_CR1","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1177\/1534582304273251","volume":"3","author":"LK Fellows","year":"2004","unstructured":"Fellows LK. The cognitive neuroscience of human decision making: a review and conceptual framework. Behav Cognit Neurosci Rev. 2004;3(3):159\u201372.","journal-title":"Behav Cognit Neurosci Rev."},{"issue":"4","key":"10167_CR2","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1257\/089533005775196732","volume":"19","author":"S Frederick","year":"2005","unstructured":"Frederick S. Cognitive reflection and decision making. J Econ Perspect. 2005;19(4):25\u201342.","journal-title":"J Econ Perspect."},{"issue":"2","key":"10167_CR3","doi-asserted-by":"crossref","first-page":"73","DOI":"10.4018\/jcini.2007040105","volume":"1","author":"Y Wang","year":"2007","unstructured":"Wang Y, Ruhe G. The cognitive process of decision making. Int J Cognit Inform Nat Intell. 2007;1(2):73\u201385.","journal-title":"Int J Cognit Inform Nat Intell."},{"issue":"8","key":"10167_CR4","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1145\/1978542.1978559","volume":"54","author":"DS Modha","year":"2011","unstructured":"Modha DS, Ananthanarayanan R, Esser SK, Ndirango A, Sherbondy AJ, Singh R. Cognitive computing. Commun ACM. 2011;54(8):62\u201371.","journal-title":"Commun ACM."},{"key":"10167_CR5","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/j.ijinfomgt.2018.06.005","volume":"42","author":"S Gupta","year":"2018","unstructured":"Gupta S, Kar AK, Baabdullah A, Al-Khowaiter WA. Big data with cognitive computing: a review for the future. Int J Inf Manage. 2018;42:78\u201389.","journal-title":"Int J Inf Manage."},{"key":"10167_CR6","doi-asserted-by":"crossref","first-page":"19774","DOI":"10.1109\/ACCESS.2018.2791469","volume":"6","author":"M Chen","year":"2018","unstructured":"Chen M, Herrera F, Hwang K. Cognitive computing: architecture, technologies and intelligent applications. IEEE Access. 2018;6:19774\u201383.","journal-title":"IEEE Access."},{"issue":"2","key":"10167_CR7","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/s12559-021-09916-8","volume":"14","author":"H Wu","year":"2022","unstructured":"Wu H, Xu Z. Cognitively inspired multi-attribute decision-making methods under uncertainty: a state-of-the-art survey. Cogn Comput. 2022;14(2):511\u201330.","journal-title":"Cogn Comput."},{"issue":"1","key":"10167_CR8","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1109\/TFUZZ.2015.2451692","volume":"24","author":"H Bustince","year":"2015","unstructured":"Bustince H, Barrenechea E, Pagola M, Fernandez J, Xu Z, Bedregal B, Montero J, Hagras H, Herrera F, Baets BD. A historical account of types of fuzzy sets and their relationships. IEEE Trans Fuzzy Syst. 2015;24(1):179\u201394.","journal-title":"IEEE Trans Fuzzy Syst."},{"issue":"3","key":"10167_CR9","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. Fuzzy sets. Inf Control. 1965;8(3):338\u201353.","journal-title":"Inf Control."},{"issue":"1","key":"10167_CR10","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"KT Atanassov","year":"1986","unstructured":"Atanassov KT. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 1986;20(1):87\u201396.","journal-title":"Fuzzy Sets Syst."},{"issue":"3","key":"10167_CR11","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. Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst. 1989;31(3):343\u20139.","journal-title":"Fuzzy Sets Syst."},{"key":"10167_CR12","volume":"2014","author":"H Zhang","year":"2014","unstructured":"Zhang H. Linguistic intuitionistic fuzzy sets and application in MAGDM. J Appl Math. 2014;2014: 432092.","journal-title":"J Appl Math."},{"issue":"4","key":"10167_CR13","doi-asserted-by":"crossref","first-page":"958","DOI":"10.1109\/TFUZZ.2013.2278989","volume":"22","author":"RR Yager","year":"2014","unstructured":"Yager RR. Pythagorean membership grades in multicriteria decision making. IEEE Trans Fuzzy Syst. 2014;22(4):958\u201365.","journal-title":"IEEE Trans Fuzzy Syst."},{"issue":"5","key":"10167_CR14","doi-asserted-by":"crossref","first-page":"1222","DOI":"10.1109\/TFUZZ.2016.2604005","volume":"25","author":"RR Yager","year":"2017","unstructured":"Yager RR. Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst. 2017;25(5):1222\u201330.","journal-title":"IEEE Trans Fuzzy Syst."},{"issue":"1\u20132","key":"10167_CR15","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1002\/mcda.1654","volume":"26","author":"H Garg","year":"2019","unstructured":"Garg H, Kumar K. 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. 2019;26(1\u20132):16\u201326.","journal-title":"J Multi-Criteria Decis Anal."},{"issue":"12","key":"10167_CR16","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. Linguistic interval-valued Atanassov intuitionistic fuzzy sets and their applications to group decision making problems. IEEE Trans Fuzzy Syst. 2019;27(12):2302\u201311.","journal-title":"IEEE Trans Fuzzy Syst."},{"issue":"3","key":"10167_CR17","doi-asserted-by":"crossref","first-page":"590","DOI":"10.1111\/j.1540-5915.1975.tb01046.x","volume":"6","author":"R Yager","year":"1975","unstructured":"Yager R, Basson D. Decision making with fuzzy sets. Decis Sci. 1975;6(3):590\u2013600.","journal-title":"Decis Sci."},{"issue":"4","key":"10167_CR18","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1016\/S0020-7373(77)80008-4","volume":"9","author":"RR Yager","year":"1977","unstructured":"Yager RR. Multiple objective decision-making using fuzzy sets. Int J Man-Mach Stud. 1977;9(4):375\u201382.","journal-title":"Int J Man-Mach Stud."},{"issue":"1","key":"10167_CR19","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1016\/j.ijar.2007.08.008","volume":"48","author":"Z Xu","year":"2008","unstructured":"Xu Z, Yager RR. Dynamic intuitionistic fuzzy multi-attribute decision making. Int J Approx Reasoning. 2008;48(1):246\u201362.","journal-title":"Int J Approx Reasoning."},{"issue":"6","key":"10167_CR20","doi-asserted-by":"crossref","first-page":"749","DOI":"10.1016\/j.knosys.2011.01.011","volume":"24","author":"Z Xu","year":"2011","unstructured":"Xu Z. Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators. Knowledge-Based Syst. 2011;24(6):749\u201360.","journal-title":"Knowledge-Based Syst."},{"issue":"1","key":"10167_CR21","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1002\/int.20515","volume":"27","author":"M Xia","year":"2012","unstructured":"Xia M, Xu Z, Zhu B. Generalized intuitionistic fuzzy Bonferroni means. Int J Intell Syst. 2012;27(1):23\u201347.","journal-title":"Int J Intell Syst."},{"issue":"6","key":"10167_CR22","doi-asserted-by":"crossref","first-page":"1905","DOI":"10.1109\/TFUZZ.2014.2370675","volume":"23","author":"SM Chen","year":"2015","unstructured":"Chen SM, Chiou CH. Multiattribute decision making based on interval-valued intuitionistic fuzzy sets, PSO techniques, and evidential reasoning methodology. IEEE Trans Fuzzy Syst. 2015;23(6):1905\u201316.","journal-title":"IEEE Trans Fuzzy Syst."},{"key":"10167_CR23","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1016\/j.ins.2016.05.041","volume":"367","author":"SM Chen","year":"2016","unstructured":"Chen SM, Cheng SH, Tsai WH. Multiple attribute group decision making based on interval-valued intuitionistic fuzzy aggregation operators and transformation techniques of interval-valued intuitionistic fuzzy values. Inf Sci. 2016;367:418\u201342.","journal-title":"Inf Sci."},{"key":"10167_CR24","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.ins.2020.11.032","volume":"551","author":"K Kumar","year":"2021","unstructured":"Kumar K, Chen SM. Multiattribute decision making based on interval-valued intuitionistic fuzzy values, score function of connection numbers, and the set pair analysis theory. Inf Sci. 2021;551:100\u201312.","journal-title":"Inf Sci."},{"issue":"12","key":"10167_CR25","doi-asserted-by":"crossref","first-page":"1332","DOI":"10.1002\/int.21902","volume":"32","author":"S Xian","year":"2017","unstructured":"Xian S, Jing N, Xue W, Chai J. A new intuitionistic fuzzy linguistic hybrid aggregation operator and its application for linguistic group decision making. Int J Intell Syst. 2017;32(12):1332\u201352.","journal-title":"Int J Intell Syst."},{"key":"10167_CR26","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/j.asoc.2017.10.017","volume":"62","author":"P Liu","year":"2018","unstructured":"Liu P, Liu J, Merig\u00f3 JM. Partitioned heronian means based on linguistic intuitionistic fuzzy numbers for dealing with multi-attribute group decision making. Appl Soft Comput. 2018;62:395\u2013422.","journal-title":"Appl Soft Comput."},{"key":"10167_CR27","doi-asserted-by":"crossref","unstructured":"Kumar K, Garg H. Prioritized linguistic interval-valued aggregation operators and their applications in group decision-making problems. Mathematics. 2018;6(10)209.","DOI":"10.3390\/math6100209"},{"key":"10167_CR28","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. Method for three-way decisions using ideal TOPSIS solutions at pythagorean fuzzy information. Inf Sci. 2018;435:282\u201395.","journal-title":"Inf Sci."},{"issue":"10","key":"10167_CR29","doi-asserted-by":"crossref","first-page":"2459","DOI":"10.1002\/int.22157","volume":"34","author":"H Garg","year":"2019","unstructured":"Garg H. Novel neutrality operation-based pythagorean fuzzy geometric aggregation operators for multiple attribute group decision analysis. Int J Intell Syst. 2019;34(10):2459\u201389.","journal-title":"Int J Intell Syst."},{"key":"10167_CR30","doi-asserted-by":"crossref","first-page":"3103741","DOI":"10.1155\/2019\/3103741","volume":"2019","author":"Y Qin","year":"2019","unstructured":"Qin Y, Cui X, Huang M, Zhong Y, Tang Z, Shi P. Archimedean Muirhead aggregation operators of q-Rung orthopair fuzzy numbers for multicriteria group decision making. Complexity. 2019;2019:3103741.","journal-title":"Complexity."},{"key":"10167_CR31","doi-asserted-by":"crossref","unstructured":"Qin Y, Qi Q, Scott PJ, Jiang X. Multi-criteria group decision making based on Archimedean power partitioned Muirhead mean operators of q-rung orthopair fuzzy numbers. PLoS One. 2019b;14(9)e0221759.","DOI":"10.1371\/journal.pone.0221759"},{"issue":"7","key":"10167_CR32","doi-asserted-by":"crossref","first-page":"3106","DOI":"10.1002\/int.22406","volume":"36","author":"H Garg","year":"2021","unstructured":"Garg H. CN-q-ROFS: connection number-based q-rung orthopair fuzzy set and their application to decision-making process. Int J Intell Syst. 2021;36(7):3106\u201343.","journal-title":"Int J Intell Syst."},{"key":"10167_CR33","first-page":"2373762","volume":"2020","author":"Y Qin","year":"2020","unstructured":"Qin Y, Cui X, Huang M, Zhong Y, Tang Z, Shi P. Linguistic interval-valued intuitionistic fuzzy Archimedean power Muirhead mean operators for multiattribute group decision-making. Complexity. 2020;2020:2373762.","journal-title":"Complexity."},{"issue":"4","key":"10167_CR34","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. Linguistic interval-valued intuitionistic fuzzy Archimedean prioritised aggregation operators for multi-criteria decision making. J Intell Fuzzy Syst. 2020;38(4):4643\u201366.","journal-title":"J Intell Fuzzy Syst."},{"issue":"2","key":"10167_CR35","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. 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. 2001;31(2):227\u201334.","journal-title":"IEEE Trans Syst Man Cybern Part B-Cybern."},{"issue":"1\u20134","key":"10167_CR36","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. A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci. 2004;166(1\u20134):19\u201330.","journal-title":"Inf Sci."},{"issue":"1","key":"10167_CR37","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. A new decision-making method based on interval-valued linguistic intuitionistic fuzzy information. Cogn Comput. 2019;11(1):125\u201344.","journal-title":"Cogn Comput."},{"issue":"4","key":"10167_CR38","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. A procedure for group decision making with interval-valued intuitionistic linguistic fuzzy preference relations. Fuzzy Optim Decis Mak. 2019;18(4):493\u2013527.","journal-title":"Fuzzy Optim Decis Mak."},{"issue":"1","key":"10167_CR39","doi-asserted-by":"crossref","first-page":"445","DOI":"10.3934\/jimo.2018162","volume":"16","author":"H Garg","year":"2020","unstructured":"Garg H, Kumar K. Group decision making approach based on possibility degree measure under linguistic interval-valued intuitionistic fuzzy set environment. J Ind Manag Optim. 2020;16(1):445\u201367.","journal-title":"J Ind Manag Optim."},{"key":"10167_CR40","doi-asserted-by":"crossref","unstructured":"Zhu WB, Shuai B, Zhang SH. The linguistic interval-valued intuitionistic fuzzy aggregation operators based on extended Hamacher T-Norm and S-Norm and Their application. Symmetry. 2020;12(4)668.","DOI":"10.3390\/sym12040668"},{"issue":"6","key":"10167_CR41","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. Interval-valued intuitionistic uncertain linguistic multi-attribute decision-making method for plant location selection with partitioned Hamy mean. Int J Fuzzy Syst. 2020;22(6):1993\u20132010.","journal-title":"Int J Fuzzy Syst."},{"issue":"21","key":"10167_CR42","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. Decision making based on linguistic interval-valued intuitionistic neutrosophic dombi fuzzy hybrid weighted geometric operator. Soft Comput. 2020;24(21):15907\u201325.","journal-title":"Soft Comput."},{"key":"10167_CR43","first-page":"6179468","volume":"2020","author":"L Xu","year":"2020","unstructured":"Xu L, Liu Y, Liu H. Linguistic interval-valued intuitionistic fuzzy Copula Heronian mean operators for multiattribute group decision-making. J Math. 2020;2020:6179468.","journal-title":"J Math."},{"issue":"5","key":"10167_CR44","doi-asserted-by":"crossref","first-page":"834","DOI":"10.1109\/TFUZZ.2018.2826452","volume":"27","author":"P Liu","year":"2019","unstructured":"Liu P, Wang P. Multiple-attribute decision-making based on Archimedean Bonferroni operators of q-Rung orthopair fuzzy numbers. IEEE Trans Fuzzy Syst. 2019;27(5):834\u201348.","journal-title":"IEEE Trans Fuzzy Syst."},{"issue":"2","key":"10167_CR45","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1214\/aoms\/1177698950","volume":"38","author":"AP Dempster","year":"1967","unstructured":"Dempster AP. Upper and lower probabilities induced by a multivalued mapping. Ann Math Stat. 1967;38(2):325\u201339.","journal-title":"Ann Math Stat."},{"key":"10167_CR46","doi-asserted-by":"crossref","unstructured":"Shafer G. A mathematical theory of evidence. Princeton University Press; 1976.","DOI":"10.1515\/9780691214696"},{"issue":"8","key":"10167_CR47","doi-asserted-by":"crossref","first-page":"772","DOI":"10.1016\/j.knosys.2010.04.014","volume":"23","author":"L Dymova","year":"2010","unstructured":"Dymova L, Sevastjanov P. An interpretation of intuitionistic fuzzy sets in terms of evidence theory: decision making aspect. Knowledge-Based Syst. 2010;23(8):772\u201382.","journal-title":"Knowledge-Based Syst."},{"key":"10167_CR48","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.knosys.2012.04.026","volume":"35","author":"L Dymova","year":"2012","unstructured":"Dymova L, Sevastjanov P. The operations on intuitionistic fuzzy values in the framework of Dempster-Shafer theory. Knowledge-Based Syst. 2012;35:132\u201343.","journal-title":"Knowledge-Based Syst."},{"key":"10167_CR49","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/j.knosys.2014.02.016","volume":"61","author":"L Dymova","year":"2014","unstructured":"Dymova L, Sevastjanov P. A new approach to the rule-base evidential reasoning in the intuitionistic fuzzy setting. Knowledge-Based Syst. 2014;61:109\u201317.","journal-title":"Knowledge-Based Syst."},{"key":"10167_CR50","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/j.ins.2015.03.041","volume":"311","author":"P Sevastjanov","year":"2015","unstructured":"Sevastjanov P, Dymova L. Generalised operations on hesitant fuzzy values in the framework of Dempster-Shafer theory. Inf Sci. 2015;311:39\u201358.","journal-title":"Inf Sci."},{"key":"10167_CR51","doi-asserted-by":"crossref","first-page":"256","DOI":"10.1016\/j.ins.2016.04.038","volume":"360","author":"L Dymova","year":"2016","unstructured":"Dymova L, Sevastjanov P. The operations on interval-valued intuitionistic fuzzy values in the framework of Dempster-Shafer theory. Inf Sci. 2016;360:256\u201372.","journal-title":"Inf Sci."},{"key":"10167_CR52","doi-asserted-by":"crossref","first-page":"52969","DOI":"10.1109\/ACCESS.2018.2869844","volume":"6","author":"P Liu","year":"2018","unstructured":"Liu P, Zhang X. Approach to multi-attributes decision making with intuitionistic linguistic information based on dempster-shafer evidence theory. IEEE Access. 2018;6:52969\u201381.","journal-title":"IEEE Access."},{"key":"10167_CR53","volume":"85","author":"P Liu","year":"2019","unstructured":"Liu P, Gao H. Some intuitionistic fuzzy power Bonferroni mean operators in the framework of Dempster-Shafer theory and their application to multicriteria decision making. Appl Soft Comput. 2019;85: 105790.","journal-title":"Appl Soft Comput."},{"key":"10167_CR54","volume":"86","author":"P Liu","year":"2020","unstructured":"Liu P, Zhang X. A new hesitant fuzzy linguistic approach for multiple attribute decision making based on Dempster-Shafer evidence theory. Appl Soft Comput. 2020;86: 105897.","journal-title":"Appl Soft Comput."},{"key":"10167_CR55","volume":"149","author":"Y Qin","year":"2020","unstructured":"Qin Y, Qi Q, Shi P, Scott PJ, Jiang X. Novel operational laws and power Muirhead mean operators of picture fuzzy values in the framework of Dempster-Shafer theory for multiple criteria decision making. Comput Ind Eng. 2020;149: 106853.","journal-title":"Comput Ind Eng."},{"issue":"2","key":"10167_CR56","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1007\/s10489-020-01777-2","volume":"51","author":"R Zhang","year":"2021","unstructured":"Zhang R, Xu Z, Gou X. An integrated method for multi-criteria decision-making based on the best-worst method and Dempster-Shafer evidence theory under double hierarchy hesitant fuzzy linguistic environment. Appl Intell. 2021;51(2):713\u201335.","journal-title":"Appl Intell."},{"key":"10167_CR57","volume":"212","author":"P Liu","year":"2021","unstructured":"Liu P, Zhang X, Pedrycz W. A consensus model for hesitant fuzzy linguistic group decision-making in the framework of Dempster-Shafer evidence theory. Knowledge-Based Syst. 2021;212: 106559.","journal-title":"Knowledge-Based Syst."},{"issue":"4","key":"10167_CR58","doi-asserted-by":"crossref","first-page":"1777","DOI":"10.1007\/s12652-021-02932-4","volume":"13","author":"Y Zhong","year":"2022","unstructured":"Zhong Y, Cao L, Zhang H, Qin Y, Huang M, Luo X. Hesitant fuzzy power Maclaurin symmetric mean operators in the framework of Dempster-Shafer theory for multiple criteria decision making. J Ambient Intell Humaniz Comput. 2022;13(4):1777\u201397.","journal-title":"J Ambient Intell Humaniz Comput."}],"container-title":["Cognitive Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12559-023-10167-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12559-023-10167-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12559-023-10167-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,25]],"date-time":"2024-10-25T11:33:21Z","timestamp":1729856001000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12559-023-10167-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,31]]},"references-count":58,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2023,11]]}},"alternative-id":["10167"],"URL":"https:\/\/doi.org\/10.1007\/s12559-023-10167-y","relation":{},"ISSN":["1866-9956","1866-9964"],"issn-type":[{"value":"1866-9956","type":"print"},{"value":"1866-9964","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,31]]},"assertion":[{"value":"21 April 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 June 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 July 2023","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 no competing interests.","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"}}]}}