{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T13:23:34Z","timestamp":1771680214510,"version":"3.50.1"},"reference-count":76,"publisher":"Emerald","issue":"1","license":[{"start":{"date-parts":[[2016,1,11]],"date-time":"2016-01-11T00:00:00Z","timestamp":1452470400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,1,11]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>\u2013 The purpose of this paper is to develop some 2-tuple linguistic aggregation operators based on Muirhead mean (MM), which is combined with multiple attribute group decision making (MAGDM) and applied the proposed MAGDM model for supplier selection under 2-tuple linguistic environment.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>\u2013 The supplier selection problem can be regarded as a typical MAGDM problem, in which the decision information should be aggregated. In this paper, the authors investigate the MAGDM problems with 2-tuple linguistic information based on traditional MM operator. The MM operator is a well-known mean type aggregation operator, which has some particular advantages for aggregating multi-dimension arguments. The prominent characteristic of the MM operator is that it can capture the whole interrelationship among the multi-input arguments. Motivated by this idea, in this paper, the authors develop the 2-tuple linguistic Muirhead mean (2TLMM) operator and the 2-tuple linguistic dual Muirhead mean (2TLDMM) operator for aggregating the 2-tuple linguistic information, respectively. Some desirable properties and special cases are discussed in detail. Based on which, two approaches to deal with MAGDM problems under 2-tuple linguistic information environment are developed. Finally, a numerical example concerns the supplier selection problem is provided to illustrate the effectiveness and feasibility of the proposed methods.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>\u2013 The results show that the proposed can solve the MAGDM problems within the context of 2-tuple linguistic information, in which the attributes are existing interaction phenomenon. Some 2-tuple aggregation operators based on MM have been developed. A case study of supplier selection is provided to illustrate the effectiveness and feasibility of the proposed methods. The results show that the proposed methods are useful to aggregate the linguistic decision information in which the attributes are not independent so as to select the most suitable supplier.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>\u2013 The proposed methods can solve the 2-tuple linguistic MAGDM problem, in which the interactions exist among the attributes. Therefore, it can be used to supplier selection problems and other similar management decision problems.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>\u2013 The paper develop some 2-tuple aggregation operators based on MM, and further present two methods based on the proposed operators for solving MAGDM problems. It is useful to deal with multiple attribute interaction decision-making problems and suitable to solve a variety of management decision-making applications.<\/jats:p><\/jats:sec>","DOI":"10.1108\/k-11-2014-0271","type":"journal-article","created":{"date-parts":[[2015,12,16]],"date-time":"2015-12-16T10:54:03Z","timestamp":1450263243000},"page":"2-29","source":"Crossref","is-referenced-by-count":80,"title":["2-tuple linguistic Muirhead mean operators for multiple attribute group decision making and its application to supplier selection"],"prefix":"10.1108","volume":"45","author":[{"given":"Jindong","family":"Qin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinwang","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"key":"key2020121901330271300_b1","doi-asserted-by":"crossref","unstructured":"Amid, A. , Ghodsypour, S. and O\u2019brien, C. (2006), \u201cFuzzy multiobjective linear model for supplier selection in a supply chain\u201d, International Journal of Production Economics , Vol. 104 No. 2, pp. 394-407.","DOI":"10.1016\/j.ijpe.2005.04.012"},{"key":"key2020121901330271300_b2","doi-asserted-by":"crossref","unstructured":"Anderson, W.N. , Morley, T.D. and Trapp, G.E. (1984), \u201cSymmetric function means of positive operators\u201d, Linear Algebra and its Applications , Vol. 60 No. 3, pp. 129-143.","DOI":"10.1016\/0024-3795(84)90075-2"},{"key":"key2020121901330271300_b3","doi-asserted-by":"crossref","unstructured":"Anwar, M. and Pecaric, J. (2010), \u201cOn log-convexity for differences of mixed symmetric means\u201d, Mathematical Notes , Vol. 88 Nos 5-6, pp. 776-784.","DOI":"10.1134\/S0001434610110180"},{"key":"key2020121901330271300_b4","unstructured":"Bale\u017eentis, A. and Bale\u017eentis, T. (2011), \u201cAn innovative multi-criteria supplier selection based on two-tuple MULTIMOORA and hybrid data\u201d, Economic Computation and Economic Cybernetics Studies and Research , Vol. 45 No. 2, pp. 37-56."},{"key":"key2020121901330271300_b5","unstructured":"Beliakov, G. , Pradera, A. and Calvo, T. (2008), Aggregation Functions: A Guide for Practitioners , Springer Publishing Company Inc, Springer, Heidelberg."},{"key":"key2020121901330271300_b6","doi-asserted-by":"crossref","unstructured":"Bevilacqua, M. , Ciarapica, F. and Giacchetta, G. (2006), \u201cA fuzzy-QFD approach to supplier selection\u201d, Journal of Purchasing and Supply Management , Vol. 12 No. 1, pp. 14-27.","DOI":"10.1016\/j.pursup.2006.02.001"},{"key":"key2020121901330271300_b7","unstructured":"Bonferroni, C. (1950), \u201cSulle medie multiple di potenze\u201d, Bollettino dell\u2019Unione Matematica Italiana , Vol. 5 Nos 3-4, pp. 267-270."},{"key":"key2020121901330271300_b8","doi-asserted-by":"crossref","unstructured":"Boran, F.E. , Gen\u00e7, S. , Kurt, M. and Akay, D. (2009), \u201cA multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method\u201d, Expert Systems with Applications , Vol. 36 No. 8, pp. 11363-11368.","DOI":"10.1016\/j.eswa.2009.03.039"},{"key":"key2020121901330271300_b9","doi-asserted-by":"crossref","unstructured":"Chai, J. , Liu, J.N. and Ngai, E.W. (2013), \u201cApplication of decision-making techniques in supplier selection: a systematic review of literature\u201d, Expert Systems with Applications , Vol. 40 No. 10, pp. 3872-3885.","DOI":"10.1016\/j.eswa.2012.12.040"},{"key":"key2020121901330271300_b10","doi-asserted-by":"crossref","unstructured":"Chang, K.-H. and Wen, T.-C. (2010), \u201cA novel efficient approach for DFMEA combining 2-tuple and the OWA operator\u201d, Expert Systems with Applications , Vol. 37 No. 3, pp. 2362-2370.","DOI":"10.1016\/j.eswa.2009.07.026"},{"key":"key2020121901330271300_b11","doi-asserted-by":"crossref","unstructured":"Chan, F.T. and Kumar, N. (2007), \u201cGlobal supplier development considering risk factors using fuzzy extended AHP-based approach\u201d, Omega , Vol. 35 No. 4, pp. 417-431.","DOI":"10.1016\/j.omega.2005.08.004"},{"key":"key2020121901330271300_b12","doi-asserted-by":"crossref","unstructured":"Chen, C.-T. , Pai, P.-F. and Hung, W.-Z. (2010), \u201cAn integrated methodology using linguistic PROMETHEE and maximum deviation method for third-party logistics supplier selection\u201d, International Journal of Computational Intelligence Systems , Vol. 3 No. 4, pp. 438-451.","DOI":"10.1080\/18756891.2010.9727712"},{"key":"key2020121901330271300_b13","doi-asserted-by":"crossref","unstructured":"Chen, S.-P. and Chang, P.-C. (2006), \u201cA mathematical programming approach to supply chain models with fuzzy parameters\u201d, Engineering Optimization , Vol. 38 No. 6, pp. 647-669.","DOI":"10.1080\/03052150600716116"},{"key":"key2020121901330271300_b14","doi-asserted-by":"crossref","unstructured":"Cuttler, A. , Greene, C. and Skandera, M. (2011), \u201cInequalities for symmetric means\u201d, European Journal of Combinatorics , Vol. 32 No. 6, pp. 745-761.","DOI":"10.1016\/j.ejc.2011.01.020"},{"key":"key2020121901330271300_b15","doi-asserted-by":"crossref","unstructured":"Dong, Y. , Hong, W.-C. and Xu, Y. (2013), \u201cMeasuring consistency of linguistic preference relations: a 2-tuple linguistic approach\u201d, Soft Computing , Vol. 17 No. 11, pp. 2117-2130.","DOI":"10.1007\/s00500-013-1031-9"},{"key":"key2020121901330271300_b18","doi-asserted-by":"crossref","unstructured":"Dong, Y. , Xu, Y. and Yu, S. (2009), \u201cComputing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model\u201d, IEEE Transactions on Fuzzy Systems , Vol. 17 No. 6, pp. 1366-1378.","DOI":"10.1109\/TFUZZ.2009.2032172"},{"key":"key2020121901330271300_b17","doi-asserted-by":"crossref","unstructured":"Dong, Y. , Xu, Y. , Li, H. and Feng, B. (2010), \u201cThe OWA-based consensus operator under linguistic representation models using position indexes\u201d, European Journal of Operational Research , Vol. 203 No. 2, pp. 455-463.","DOI":"10.1016\/j.ejor.2009.08.013"},{"key":"key2020121901330271300_b19","doi-asserted-by":"crossref","unstructured":"Dong, Y. , Zhang, G. , Hong, W.-C. and Yu, S. (2013), \u201cLinguistic computational model based on 2-tuples and intervals\u201d, IEEE Transactions on Fuzzy Systems , Vol. 21 No. 6, pp. 1006-1018.","DOI":"10.1109\/TFUZZ.2013.2239650"},{"key":"key2020121901330271300_b20","doi-asserted-by":"crossref","unstructured":"Ertay, T. , Kahveci, A. and Tabanli, R. (2011), \u201cAn integrated multi-criteria group decision-making approach to efficient supplier selection and clustering using fuzzy preference relations\u201d, International Journal of Computer Integrated Manufacturing , Vol. 24 No. 12, pp. 1152-1167.","DOI":"10.1080\/0951192X.2011.615342"},{"key":"key2020121901330271300_b21","doi-asserted-by":"crossref","unstructured":"Gao, P. (2008), \u201cOn a conjecture on the symmetric means\u201d, Journal of Mathematical Analysis and Applications , Vol. 337 No. 1, pp. 416-424.","DOI":"10.1016\/j.jmaa.2007.04.011"},{"key":"key2020121901330271300_b22","doi-asserted-by":"crossref","unstructured":"Gong, Z.-W. , Forrest, J. and Yang, Y.-J. (2013), \u201cThe optimal group consensus models for 2-tuple linguistic preference relations\u201d, Knowledge-Based Systems , Vol. 37 No. 1, pp. 427-437.","DOI":"10.1016\/j.knosys.2012.09.001"},{"key":"key2020121901330271300_b23","doi-asserted-by":"crossref","unstructured":"Guan, K. (2006a), \u201cSchur-convexity of the complete elementary symmetric function\u201d, Journal of Inequalities and Application , Vol. 1 No. 2, pp. 6272-6274.","DOI":"10.1155\/JIA\/2006\/67624"},{"key":"key2020121901330271300_b24","doi-asserted-by":"crossref","unstructured":"Guan, K. (2006b), \u201cSchur-convexity of the complete symmetric function\u201d, Mathematical Inequalities & Applications , Vol. 9 No. 4, pp. 567-576.","DOI":"10.7153\/mia-09-52"},{"key":"key2020121901330271300_b25","unstructured":"Hardy, G.H. , Littlewood, J.E. and P\u00f3lya, G. (1952), Inequalities , Cambridge University Press, Cambridge."},{"key":"key2020121901330271300_b27","doi-asserted-by":"crossref","unstructured":"Herrera, F. and Martinez, L. (2000a), \u201cA 2-tuple fuzzy linguistic representation model for computing with words\u201d, IEEE Transactions on Fuzzy Systems , Vol. 8 No. 6, pp. 746-752.","DOI":"10.1109\/91.890332"},{"key":"key2020121901330271300_b28","doi-asserted-by":"crossref","unstructured":"Herrera, F. and Martinez, L. (2000b), \u201cAn approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making\u201d, International Journal of Uncertainty Fuzziness and Knowledge-Based Systems , Vol. 8 No. 5, pp. 539-562.","DOI":"10.1142\/S0218488500000381"},{"key":"key2020121901330271300_b29","doi-asserted-by":"crossref","unstructured":"Herrera, F. and Martinez, L. (2001), \u201cA model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision-making\u201d, IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics , Vol. 31 No. 2, pp. 227-234.","DOI":"10.1109\/3477.915345"},{"key":"key2020121901330271300_b26","doi-asserted-by":"crossref","unstructured":"Herrera-Viedma, E. , Lopez-Herrera, A.G. , Luque, M. and Porcel, C. (2007), \u201cA fuzzy linguistic IRS model based on a 2-tuple fuzzy linguistic approach\u201d, International Journal of Uncertainty Fuzziness and Knowledge-Based Systems , Vol. 15 No. 2, pp. 225-250.","DOI":"10.1142\/S0218488507004534"},{"key":"key2020121901330271300_b30","doi-asserted-by":"crossref","unstructured":"Ho, W. , Xu, X. and Dey, P.K. (2010), \u201cMulti-criteria decision making approaches for supplier evaluation and selection: a literature review\u201d, European Journal of Operational Research , Vol. 202 No. 1, pp. 16-24.","DOI":"10.1016\/j.ejor.2009.05.009"},{"key":"key2020121901330271300_b31","doi-asserted-by":"crossref","unstructured":"Jiang, X.-P. and Wei, G.-W. (2014), \u201cSome Bonferroni mean operators with 2-tuple linguistic information and their application to multiple attribute decision making\u201d, Journal of Intelligent and Fuzzy Systems , Vol. 27 No. 5, pp. 2153-2162.","DOI":"10.3233\/IFS-141180"},{"key":"key2020121901330271300_b32","unstructured":"Jiang, Y.-P. and Fan, Z.-P. (2003), \u201cProperty analysis of the aggregation operators for two-tuple linguistic information\u201d, Control and Decision , Vol. 18 No. 6, pp. 754-757."},{"key":"key2020121901330271300_b33","doi-asserted-by":"crossref","unstructured":"Ju, Y. and Wang, A. (2013), \u201cProjection method for multiple criteria group decision making with incomplete weight information in linguistic setting\u201d, Applied Mathematical Modelling , Vol. 37 No. 20, pp. 9031-9040.","DOI":"10.1016\/j.apm.2013.04.027"},{"key":"key2020121901330271300_b34","doi-asserted-by":"crossref","unstructured":"Ju, Y. , Wang, A. and Liu, X. (2012), \u201cEvaluating emergency response capacity by fuzzy AHP and 2-tuple fuzzy linguistic approach\u201d, Expert Systems with Applications , Vol. 39 No. 8, pp. 6972-6981.","DOI":"10.1016\/j.eswa.2012.01.061"},{"key":"key2020121901330271300_b35","doi-asserted-by":"crossref","unstructured":"Kahraman, C. , Cebeci, U. and Ulukan, Z. (2003), \u201cMulti-criteria supplier selection using fuzzy AHP\u201d, Logistics Information Management , Vol. 16 No. 6, pp. 382-394.","DOI":"10.1108\/09576050310503367"},{"key":"key2020121901330271300_b36","doi-asserted-by":"crossref","unstructured":"Kahraman, C. , Ertay, T. and B\u00fcy\u00fck\u00f6zkan, G. (2006), \u201cA fuzzy optimization model for QFD planning process using analytic network approach\u201d, European Journal of Operational Research , Vol. 171 No. 2, pp. 390-411.","DOI":"10.1016\/j.ejor.2004.09.016"},{"key":"key2020121901330271300_b37","doi-asserted-by":"crossref","unstructured":"Ku, H.T. , Ku, M.C. and Zhang, X.M. (1997), \u201cInequalities for symmetric means, symmetric harmonic means, and their applications\u201d, Bulletin of the Australian Mathematical Society , Vol. 56 No. 3, pp. 409-420.","DOI":"10.1017\/S0004972700031191"},{"key":"key2020121901330271300_b38","doi-asserted-by":"crossref","unstructured":"Labib, A.W. (2011), \u201cA supplier selection model: a comparison of fuzzy logic and the analytic hierarchy process\u201d, International Journal of Production Research , Vol. 49 No. 21, pp. 6287-6299.","DOI":"10.1080\/00207543.2010.531776"},{"key":"key2020121901330271300_b40","doi-asserted-by":"crossref","unstructured":"Li, Y.-B. and Zhang, J.-P. (2014), \u201cTopsis method for hybrid multiple attribute decision making with 2-tuple linguistic information and its application to computer network security evaluation\u201d, Journal of Intelligent & Fuzzy Systems , Vol. 26 No. 3, pp. 1563-1569.","DOI":"10.3233\/IFS-130876"},{"key":"key2020121901330271300_b39","doi-asserted-by":"crossref","unstructured":"Liu, P. and Zhang, X. (2011), \u201cResearch on the supplier selection of a supply chain based on entropy weight and improved ELECTRE-III method\u201d, International Journal of Production Research , Vol. 49 No. 3, pp. 637-646.","DOI":"10.1080\/00207540903490171"},{"key":"key2020121901330271300_b41","doi-asserted-by":"crossref","unstructured":"Marshall, A.W. , Olkin, I. and Arnold, B.C. (2010), Inequalities: Theory of Majorization and Its Applications: Theory of Majorization and Its Applications , Springer, Heidelberg.","DOI":"10.1007\/978-0-387-68276-1"},{"key":"key2020121901330271300_b42","doi-asserted-by":"crossref","unstructured":"Martinez, L. and Herrera, F. (2012), \u201cAn overview on the 2-tuple linguistic model for computing with words in decision making: extensions, applications and challenges\u201d, Information Sciences , Vol. 207 No. 3, pp. 1-18.","DOI":"10.1016\/j.ins.2012.04.025"},{"key":"key2020121901330271300_b43","doi-asserted-by":"crossref","unstructured":"Merigo, J.M. and Gil-Lafuente, A.M. (2013), \u201cInduced 2-tuple linguistic generalized aggregation operators and their application in decision-making\u201d, Information Sciences , Vol. 236 No. 5, pp. 1-16.","DOI":"10.1016\/j.ins.2013.02.039"},{"key":"key2020121901330271300_b44","doi-asserted-by":"crossref","unstructured":"Moreno, J.M. , Morales del Castillo, J.M. , Porcel, C. and Herrera-Viedma, E. (2010), \u201cA quality evaluation methodology for health-related websites based on a 2-tuple fuzzy linguistic approach\u201d, Soft Computing , Vol. 14 No. 8, pp. 887-897.","DOI":"10.1007\/s00500-009-0472-7"},{"key":"key2020121901330271300_b45","doi-asserted-by":"crossref","unstructured":"Muirhead, R.F. (1902), \u201cSome methods applicable to identities and inequalities of symmetric algebraic functions of n letters\u201d, Proceedings of the Edinburgh Mathematical Society , Vol. 21 No. 3, pp. 144-162.","DOI":"10.1017\/S001309150003460X"},{"key":"key2020121901330271300_b46","doi-asserted-by":"crossref","unstructured":"Paris, J.B. and Vencovska, A. (2009), \u201cA generalization of Muirhead\u2019s inequality\u201d, Journal of Mathematical Inequalities , Vol. 3 No. 2, pp. 181-187.","DOI":"10.7153\/jmi-03-18"},{"key":"key2020121901330271300_b47","doi-asserted-by":"crossref","unstructured":"Park, J.H. , Park, J.M. and Kwun, Y.C. (2013), \u201c2-Tuple linguistic harmonic operators and their applications in group decision making\u201d, Knowledge-Based Systems , Vol. 44 No. 4, pp. 10-19.","DOI":"10.1016\/j.knosys.2013.01.006"},{"key":"key2020121901330271300_b48","doi-asserted-by":"crossref","unstructured":"Pitchipoo, P. , Venkumar, P. and Rajakarunakaran, S. (2013), \u201cFuzzy hybrid decision model for supplier evaluation and selection\u201d, International Journal of Production Research , Vol. 51 No. 13, pp. 3903-3919.","DOI":"10.1080\/00207543.2012.756592"},{"key":"key2020121901330271300_b49","doi-asserted-by":"crossref","unstructured":"Samvedi, A. , Jain, V. and Chan, F.T. (2012), \u201cAn integrated approach for machine tool selection using fuzzy analytical hierarchy process and grey relational analysis\u201d, International Journal of Production Research , Vol. 50 No. 12, pp. 3211-3221.","DOI":"10.1080\/00207543.2011.560906"},{"key":"key2020121901330271300_b50","doi-asserted-by":"crossref","unstructured":"Sanayei, A. , Farid Mousavi, S. and Yazdankhah, A. (2010), \u201cGroup decision making process for supplier selection with VIKOR under fuzzy environment\u201d, Expert Systems with Applications , Vol. 37 No. 1, pp. 24-30.","DOI":"10.1016\/j.eswa.2009.04.063"},{"key":"key2020121901330271300_b51","doi-asserted-by":"crossref","unstructured":"Sang, X. and Liu, X. (2013), \u201cParameterized 2-tuple linguistic most preferred owa operators and their application in decision making\u201d, International Journal of Uncertainty Fuzziness and Knowledge-Based Systems , Vol. 21 No. 6, pp. 799-819.","DOI":"10.1142\/S0218488513500384"},{"key":"key2020121901330271300_b52","doi-asserted-by":"crossref","unstructured":"Schulman, L.J. (2009), \u201cMuirhead-Rado inequality for compact groups\u201d, Positivity , Vol. 13 No. 3, pp. 559-574.","DOI":"10.1007\/s11117-008-2172-4"},{"key":"key2020121901330271300_b53","doi-asserted-by":"crossref","unstructured":"Sevkli, M. (2010), \u201cAn application of the fuzzy ELECTRE method for supplier selection\u201d, International Journal of Production Research , Vol. 48 No. 12, pp. 3393-3405.","DOI":"10.1080\/00207540902814355"},{"key":"key2020121901330271300_b55","doi-asserted-by":"crossref","unstructured":"Skulimowski, A.M. (1997), \u201cMethods of multicriteria decision support based on reference sets\u201d, Advances in Multiple Objective and Goal Programming , Springer Berlin Heidelberg, pp. 282-290.","DOI":"10.1007\/978-3-642-46854-4_31"},{"key":"key2020121901330271300_b56","doi-asserted-by":"crossref","unstructured":"Skulimowski, A.M. (2014), \u201cAnticipatory network models of multicriteria decision-making processes\u201d, International Journal of Systems Science , Vol. 45 No. 1, pp. 39-59.","DOI":"10.1080\/00207721.2012.670308"},{"key":"key2020121901330271300_b57","doi-asserted-by":"crossref","unstructured":"Wan, S.-P. (2013a), \u201c2-tuple linguistic hybrid arithmetic aggregation operators and application to multi-attribute group decision making\u201d, Knowledge-Based Systems , Vol. 45 No. 5, pp. 31-40.","DOI":"10.1016\/j.knosys.2013.02.002"},{"key":"key2020121901330271300_b58","doi-asserted-by":"crossref","unstructured":"Wan, S.-P. (2013b), \u201cSome hybrid geometric aggregation operators with 2-tuple linguistic information and their applications to multi-attribute group decision making\u201d, International Journal of Computational Intelligence Systems , Vol. 6 No. 4, pp. 750-763.","DOI":"10.1080\/18756891.2013.804144"},{"key":"key2020121901330271300_b59","doi-asserted-by":"crossref","unstructured":"Wang, J.H. and Hao, J.Y. (2006), \u201cA new version of 2-tuple fuzzy linguistic, representation model for computing with words\u201d, IEEE Transactions on Fuzzy Systems , Vol. 14 No. 3, pp. 435-445.","DOI":"10.1109\/TFUZZ.2006.876337"},{"key":"key2020121901330271300_b60","doi-asserted-by":"crossref","unstructured":"Wang, J.-W. , Cheng, C.-H. and Huang, K.-C. (2009), \u201cFuzzy hierarchical TOPSIS for supplier selection\u201d, Applied Soft Computing , Vol. 9 No. 1, pp. 377-386.","DOI":"10.1016\/j.asoc.2008.04.014"},{"key":"key2020121901330271300_b61","doi-asserted-by":"crossref","unstructured":"Wei, G.-W. (2010a), \u201cExtension of TOPSIS method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information\u201d, Knowledge and Information Systems , Vol. 25 No. 3, pp. 623-634.","DOI":"10.1007\/s10115-009-0258-3"},{"key":"key2020121901330271300_b62","doi-asserted-by":"crossref","unstructured":"Wei, G.-W. (2010b), \u201cA method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information\u201d, Expert Systems with Applications , Vol. 37 No. 12, pp. 7895-7900.","DOI":"10.1016\/j.eswa.2010.04.047"},{"key":"key2020121901330271300_b63","doi-asserted-by":"crossref","unstructured":"Wei, G.-W. (2011a), \u201cGrey relational analysis method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information\u201d, Expert Systems with Applications , Vol. 38 No. 5, pp. 4824-4828.","DOI":"10.1016\/j.eswa.2010.09.163"},{"key":"key2020121901330271300_b64","unstructured":"Wei, G.-W. (2011b), \u201cGRA-based linear-programming methodology for multiple attribute group decision making with 2-tuple linguistic assessment information\u201d, Information-an International Interdisciplinary Journal , Vol. 14 No. 4, pp. 1105-1110."},{"key":"key2020121901330271300_b65","doi-asserted-by":"crossref","unstructured":"Wei, G.-W. and Zhao, X. (2012), \u201cSome dependent aggregation operators with 2-tuple linguistic information and their application to multiple attribute group decision making\u201d, Expert Systems with Applications , Vol. 39 No. 5, pp. 5881-5886.","DOI":"10.1016\/j.eswa.2011.11.120"},{"key":"key2020121901330271300_b68","doi-asserted-by":"crossref","unstructured":"Xu, Y. and Wang, H. (2011), \u201cApproaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment\u201d, Applied Soft Computing , Vol. 11 No. 5, pp. 3988-3997.","DOI":"10.1016\/j.asoc.2011.02.027"},{"key":"key2020121901330271300_b66","doi-asserted-by":"crossref","unstructured":"Xu, Y. , Ma, F. , Tao, F. and Wang, H. (2014), \u201cSome methods to deal with unacceptable incomplete 2-tuple fuzzy linguistic preference relations in group decision making\u201d, Knowledge-Based Systems , Vol. 56 No. 3, pp. 179-190.","DOI":"10.1016\/j.knosys.2013.11.008"},{"key":"key2020121901330271300_b67","doi-asserted-by":"crossref","unstructured":"Xu, Y. , Shi, P. , Merigo, J.M. and Wang, H. (2013), \u201cSome proportional 2-tuple geometric aggregation operators for linguistic decision making\u201d, Journal of Intelligent & Fuzzy Systems , Vol. 25 No. 3, pp. 833-843.","DOI":"10.3233\/IFS-130774"},{"key":"key2020121901330271300_b69","doi-asserted-by":"crossref","unstructured":"Xu, Z. and Hu, H. (2010), \u201cProjection models for intuitionistic fuzzy multiple attribute decision making\u201d, International Journal of Information Technology & Decision Making , Vol. 9 No. 2, pp. 267-280.","DOI":"10.1142\/S0219622010003816"},{"key":"key2020121901330271300_b70","doi-asserted-by":"crossref","unstructured":"Yang, W. (2013), \u201cInduced choquet integrals of 2-tuple linguistic information\u201d, International Journal of Uncertainty Fuzziness and Knowledge-Based Systems , Vol. 21 No. 2, pp. 175-200.","DOI":"10.1142\/S0218488513500104"},{"key":"key2020121901330271300_b71","doi-asserted-by":"crossref","unstructured":"Yang, W. and Chen, Z. (2012), \u201cNew aggregation operators based on the choquet integral and 2-tuple linguistic information\u201d, Expert Systems with Applications , Vol. 39 No. 3, pp. 2662-2668.","DOI":"10.1016\/j.eswa.2011.08.121"},{"key":"key2020121901330271300_b72","doi-asserted-by":"crossref","unstructured":"Yu, D. (2013), \u201cIntuitionistic fuzzy geometric Heronian mean aggregation operators\u201d, Applied Soft Computing , Vol. 13 No. 2, pp. 1235-1246.","DOI":"10.1016\/j.asoc.2012.09.021"},{"key":"key2020121901330271300_b73","doi-asserted-by":"crossref","unstructured":"Zeng, S. , Balezentis, T. and Zhang, C. (2012), \u201cA method based on owa operator and distance measures for multiple attribute decision making with 2-tuple linguistic information\u201d, Informatica , Vol. 23 No. 4, pp. 665-681.","DOI":"10.15388\/Informatica.2012.380"},{"key":"key2020121901330271300_b74","doi-asserted-by":"crossref","unstructured":"Zhang, H. (2012), \u201cThe multiattribute group decision making method based on aggregation operators with interval-valued 2-tuple linguistic information\u201d, Mathematical and Computer Modelling , Vol. 56 No. 1, pp. 27-35.","DOI":"10.1016\/j.mcm.2012.01.001"},{"key":"key2020121901330271300_b75","doi-asserted-by":"crossref","unstructured":"Zhang, H. (2013), \u201cSome interval-valued 2-tuple linguistic aggregation operators and application in multiattribute group decision making\u201d, Applied Mathematical Modelling , Vol. 37 No. 6, pp. 4269-4282.","DOI":"10.1016\/j.apm.2012.09.033"},{"key":"key2020121901330271300_b76","doi-asserted-by":"crossref","unstructured":"Zhang, S. (2011), \u201cA model for evaluating computer network security systems with 2-tuple linguistic information\u201d, Computers & Mathematics with Applications , Vol. 62 No. 4, pp. 1916-1922.","DOI":"10.1016\/j.camwa.2011.06.035"},{"key":"key2020121901330271300_b77","doi-asserted-by":"crossref","unstructured":"Zhang, Y. , Ma, H. , Liu, B. and Liu, J. (2012), \u201cGroup decision making with 2-tuple intuitionistic fuzzy linguistic preference relations\u201d, Soft Computing , Vol. 16 No. 8, pp. 1439-1446.","DOI":"10.1007\/s00500-012-0847-z"},{"key":"key2020121901330271300_frd1","doi-asserted-by":"crossref","unstructured":"Dong, Y. , Hong, W.-C. , Xu, Y. and Yu, S. (2011), \u201cSelecting the individual numerical scale and prioritization method in the analytic hierarchy process: a 2-tuple fuzzy linguistic approach\u201d, IEEE Transactions on Fuzzy Systems , Vol. 19 No. 1, pp. 13-25.","DOI":"10.1109\/TFUZZ.2010.2073713"}],"container-title":["Kybernetes"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/K-11-2014-0271","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/K-11-2014-0271\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/K-11-2014-0271\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T21:50:58Z","timestamp":1753393858000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/k\/article\/45\/1\/2-29\/273732"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,1,11]]},"references-count":76,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,1,11]]}},"alternative-id":["10.1108\/K-11-2014-0271"],"URL":"https:\/\/doi.org\/10.1108\/k-11-2014-0271","relation":{},"ISSN":["0368-492X"],"issn-type":[{"value":"0368-492X","type":"print"}],"subject":[],"published":{"date-parts":[[2016,1,11]]}}}