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A Hybrid Multi-attribute Group Decision Making Method Based on Grey Linguistic 2-tuple | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 4، دوره 13، شماره 2، تیر 2016، صفحه 37-59 اصل مقاله (460.27 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2358 | ||
| نویسندگان | ||
| Congjun Rao1؛ Junjun Zheng* 2؛ Cheng Wang3؛ Xinping Xiao1 | ||
| 1School of Science, Wuhan University of Technology, Wuhan 430070, P. R. China | ||
| 2School of Economics and Management, Wuhan University, Wuhan 430072, P. R. China | ||
| 3School of Mathematics and Economics, Hubei University of Education, Wuhan 430072, P. R. China | ||
| چکیده | ||
| Because of the complexity of decision-making environment, the uncertainty of fuzziness and the uncertainty of grey maybe coexist in the problems of multi-attribute group decision making. In this paper, we study the problems of multi-attribute group decision making with hybrid grey attribute data (the precise values, interval numbers and linguistic fuzzy variables coexist, and each attribute value has a certain grey degree), and present a new grey hybrid multi-attribute group decision making method based on grey linguistic 2-tuple. Concretely, the concept of grey linguistic 2-tuple is defined based on the traditional linguistic 2-tuple, and the transformation methods of transforming the precise values, interval numbers and linguistic fuzzy variables into the grey linguistic 2-tuples are presented respectively. Further, a new grey linguistic 2-tuple weighted averaging (emph{GLTWA}) operator is presented to aggregate multiple decision makers' individual decision information into comprehensive decision information, and then a ranking method based on grey 2-tuple correlation degree is presented to rank all alternatives and to select the winners. An application decision making example of supplier selection is also given to validate the method developed and to highlight the implementation, practicality and effectiveness of the presented method. | ||
| کلیدواژهها | ||
| Hybrid multi-attribute group decision making؛ Grey linguistic 2-tuple؛ GLTWA operator؛ Grey 2-tuple correlation degree | ||
| مراجع | ||
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[1] G. Bordogna, M. Fedrizzi and G. Pasi, A linguistic modeling of consensus in group decision making based on OWA operators, IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 27 (1997), 126-132. [2] R. Degani and G. Bortolan, The problem of linguistic approximation in clinical decision making, International Journal of Approximate Reasoning, 2 (1988), 143-162. [3] M. Delgado, J. L. Verdegay and M. A. Vila, On aggregation operators of linguistic labels, International Journal of Intelligent Systems, 8 (1993), 351-370. [4] J. L. Deng, Grey system theory, Huazhong University of Science & Technology Press, Wuhan, 2002. [5] Y. C. Dong, Y. F. Xu, H. Y. Li and B. Feng, The OWA-based consensus operator under linguistic representation models using position indexes, European Journal of Operational Research, 203 (2010), 455-463. [6] H. Doukas, A. Tsiousi, V. Marinakis and J. Psarras, Linguistic multi-criteria decision making for energy and environmental corporate policy, Information Sciences, 258 (2014), 328-338. [7] F. J. Estrella, M. Espinilla, F. Herrera and L. Martnez, FLINTSTONES: A fuzzy linguis- tic decision tools enhancement suite based on the 2-tuple linguistic model and extensions, Information Sciences, 280 (2014), 152-170. [8] Y. B. Gong, N. Hu, J. G. Zhang, G. F. Liu and J. G. Deng, Multi-attribute group decision making method based on geometric Bonferroni mean operator of trapezoidal interval type-2 fuzzy numbers, Computers & Industrial Engineering, 81 (2015), 167-176. [9] Y. D. He, H. Y. Chen, Z. He and L. G. Zhou, Multi-attribute decision making based on neutral averaging operators for intuitionistic fuzzy information, Applied Soft Computing, 27 (2015), 64-76. [10] F. Herrera and E. Herrera-Viedma, Aggregation operators for linguistic weighted information, IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 27 (1997), 646-656. [11] F. Herrera and L. Martnez, A 2-tuple fuzzy linguistic representation model for computing with words, IEEE Transactions on Fuzzy Systems, 8(6) (2000), 746-752. [12] F. Herrera and L. Martnez, A model based on linguistic 2-Tuples for dealing with multigran- ular hierarchical linguistic contexts in multi-expert decision-making, IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, 31(2) (2001), 227-234. [13] F. Herrera, L. Martnez and P. J. Sanchez, Managing non-homogeneous information in group decision-making, European Journal of Operational Research, 166(1) (2005), 115-132. [14] C. W. Hsu, T. C. Kuo, S. H. Chen and A. H. Hu, Using DEMATEL to develop a carbon man- agement model of supplier selection in green supply chain management, Journal of Cleaner Production, 56 (2013), 164-172. [15] Y. B. Ju and A. H. Wang, Extension of VIKOR method for multi-criteria group decision making problem with linguistic information, Applied Mathematical Modelling, 37 (2013), 3112-3125. [16] Y. B. Ju, A. H. Wang and X. Y. Liu, Evaluating emergency response capacity by fuzzy AHP and 2-tuple fuzzy linguistic approach, Expert Systems with Applications, 39 (2012), 6972-6981. [17] A. Kumar, V. Jain and S. Kumar, A comprehensive environment friendly approach for sup- plier selection, Omega, 42 (2014), 109-123. [18] J. B. Lan, Q. Sun, Q. M. Chen and Z. X. Wang, Group decision making based on induced uncertain linguistic OWA operators, Decision Support Systems, 55 (2013), 296-303. [19] J. Lin, Q. Zhang and F. Y. Meng, An approach for facility location selection based on optimal aggregation operator, Knowledge-Based Systems, 85 (2015), 143-158. [20] B. S. Liu, Y. H. Shen, X. H. Chen, Y. Chen and X. Q. Wang, A partial binary tree DEA- DA cyclic classication model for decision makers in complex multi-attribute large-group interval-valued intuitionistic fuzzy decision-making problems, Information Fusion, 18 (2014), 119-130. [21] H. C. Liu, J. X. You, C. Lu and M. M. Shan, Application of interval 2-tuple linguistic MULTIMOORA method for health-care waste treatment technology evaluation and selection, Waste Management, 34 (2014), 2355-2364. [22] S. Liu, F. T. S. Chan and W. X. Ran, Multi-attribute group decision-making with multi- granularity linguistic assessment information: An improved approach based on deviation and TOPSIS, Applied Mathematical Modelling, 37 (2013), 10129-10140. [23] P. D. Liu and F. Jin, A multi-attribute group decision-making method based on weighted geometric aggregation operators of interval-valued trapezoidal fuzzy numbers, Applied Mathematical Modelling, 36 (2012), 2498-2509. [24] P. D. Liu and Y. M. Wang, Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators, Applied Soft Computing, 17 (2014), 90-104. [25] L. Martnez and F. Herrera, An overview on the 2-tuple linguistic model for computing with words in decision making: Extensions, applications and challenges, Information Sciences, 207 (2012), 1-18. [26] F. Y. Meng, X. H. Chen and Q. Zhang, Some interval-valued intuitionistic uncertain linguistic Choquet operators and their application to multi-attribute group decision making, Applied Mathematical Modelling, 38 (2014), 2543-2557. [27] J. M. Merigo, M. Casanovas and L. Martnez, Linguistic aggregation operators for linguistic decision making based on the Dempster-Shafer theory of evidence, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 18(3) (2010), 287-304. [28] J. M. Merigo and A. M. Gil-Lafuente, Induced 2-tuple linguistic generalized aggregation op- erators and their application in decision-making, Information Sciences, 236 (2013), 1-16. [29] J. H. Park, J. M. Park and Y. C. Kwun, 2-Tuple linguistic harmonic operators and their applications in group decision making, Knowledge-Based Systems, 44 (2013), 10-19. [30] J. I. Pelaez and J. M. Do~na, LAMA: a linguistic aggregation of majority additive operator, International Journal of Intelligent Systems, 18 (2003), 809-820. [31] B. Peng, C. M. Ye and S. Z. Zeng, Uncertain pure linguistic hybrid harmonic averaging oper- ator and generalized interval aggregation operator based approach to group decision making, Knowledge-Based Systems, 36 (2012), 175-181. [32] C. J. Rao, M. Goh, Y. Zhao, J. J. Zheng, Location selection of city logistics centers under sustainability, Transportation Research Part D: Transport and Environment,36(2015),29-44. [33] C. J. Rao and J. Peng, Fuzzy group decision making model based on credibility theory and gray relative degree, International Journal of Information Technology & Decision Making, 8(3) (2009), 515-527. [34] C. J. Rao and J. Peng, Group decision making model based on grey relational analysis, The Journal of Grey System, 21(1) (2009), 15-24. [35] C. J. Rao and Y. Zhao, Multi-attribute auction method based on grey relational degree of hybrid sequences, The Journal of Grey System, 21(2) (2009), 175-184. [36] C. J. Rao and Y. Zhao, Multi-attribute decision making model based on optimal membership and relative entropy, Journal of Systems Engineering and Electronics, 20(3) (2009), 537-542. [37] Z. F. Tao, H. Y. Chen, X. Song, L. G. Zhou and J. P. Liu, Uncertain linguistic fuzzy soft sets and their applications in group decision making, Applied Soft Computing, 34 (2015), 587-605. [38] I. Truck, Comparison and links between two 2-tuple linguistic models for decision making, Knowledge-Based Systems, (2015), In Press. [39] S. P. Wan, Power average operators of trapezoidal intuitionistic fuzzy numbers and applica- tion to multi-attribute group decision making, Applied Mathematical Modelling, 37 (2013), 4112-4126. [40] S. P. Wan, 2-Tuple linguistic hybrid arithmetic aggregation operators and application to multi-attribute group decision making, Knowledge-Based Systems, 45 (2013), 31-40. [41] S. P. Wan, Q. Y. Wang and J. Y. Dong, The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers, Knowledge-Based Systems, 52 (2013), 65-77. [42] S. P. Wan and J. Y. Dong, Interval-valued intuitionistic fuzzy mathematical programming method for hybrid multi-criteria group decision making with interval-valued intuitionistic fuzzy truth degrees, Information Fusion, 26 (2015), 49-65. [43] S. P. Wan and J. Y. Dong, Power geometric operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making, Applied Soft Computing, 29 (2015), 153-168. [44] S. Y. Wang, Applying 2-tuple multigranularity linguistic variables to determine the supply performance in dynamic environment based on product-oriented strategy, IEEE Transactions on Fuzzy Systems, 16 (2008), 29-39. [45] J. H.Wang and J. Y. Hao, An approach to aggregation of ordinal information in multi-criteria multi-person decision making using Choquet integral of Fubini type, Fuzzy Optimization and Decision Making, 8 (2009), 365-380. [46] J. Q. Wang, J. Wang, Q. H. Chen, H. Y. Zhang and X. H. Chen, An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets, Information Sciences, 280 (2014), 338-351. [47] J. Q. Wang, P. Lu, H. Y. Zhang and X. H. Chen, Method of multi-criteria group decision- making based on cloud aggregation operators with linguistic information, Information Sciences, 274 (2014), 177-191. [48] W. Z. Wang and X. W. Liu, The multi-attribute decision making method based on interval- valued intuitionistic fuzzy Einstein hybrid weighted geometric operator, Computers and Mathematics with Applications, 66 (2013), 1845-1856. [49] G. W. Wei, Uncertain linguistic hybrid geometric mean operator and its application to group decision making under uncertain linguistic environment, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 17 (2009), 251-267. [50] G. W. Wei, A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information, Expert Systems with Applications, 37 (2010), 7895-7900. [51] G. W. Wei, Grey relational analysis model for dynamic hybrid multiple attribute decision making, Knowledge-Based Systems, 24 (2011), 672-679. [52] G. W. Wei, Grey relational analysis method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information, Expert Systems with Applications, 38 (2011), 4824-4828. [53] G. W. Wei, Hesitant fuzzy prioritized operators and their application to multiple attribute decision making, Knowledge-Based Systems, 31 (2012), 176-182. [54] G. W. Wei and X. F. Zhao, Some dependent aggregation operators with 2-tuple linguistic in- formation and their application to multiple attribute group decision making, Expert Systems with Applications, 39 (2012), 5881-5886. [55] J. Wu and Y. J. Liu, An approach for multiple attribute group decision making problems with interval-valued intuitionistic trapezoidal fuzzy numbers, Computers & Industrial Engineering, 66 (2013), 311-324. [56] X. P. Xiao and S. H. Mao, Grey forecast and decision method, Science Press, Beijing, 2013. [57] Z. S. Xu, EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12 (2004), 791-810. [58] Z. S. Xu, Induced uncertain linguistic OWA operators applied to group decision making, Information Fusion, 7 (2006), 231-238. [59] Z. S. Xu, An approach based on the uncertain LOWG and the induced uncertain LOWG op- erators to group decision making with uncertain multiplicative linguistic preference relations, Decision Support Systems, 41 (2006), 488-499. [60] Z. S. Xu and R. R. Yager, Power-geometric operators and their use in group decision making, IEEE Transactions on Fuzzy Systems, 18(1) (2010), 94-105. [61] Z. S. Xu and X. L. Zhang, Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information, Knowledge-Based Systems, 52 (2013), 53-64. [62] Y. J. Xu, F. Ma, F. F. Tao and H. M. Wang, Some methods to deal with unacceptable incomplete 2-tuple fuzzy linguistic preference relations in group decision making, Knowledge- Based Systems, 56 (2014), 179-190. [63] Y. J. Xu, J. M. Merigo and H. M. Wang, Linguistic power aggregation operators and their application to multiple attribute group decision making, Applied Mathematical Modelling, 36(11) (2012), 5427-5444. [64] Y. J. Xu, P. Shi, J. M. Merig0 and H. M. Wang, Some proportional 2-tuple geometric ag- gregation operators for linguistic decision making, Journal of Intelligent & Fuzzy Systems, 25(3) (2013), 833-843. [65] W. Yang and Z. P. Chen, New aggregation operators based on the Choquet integral and 2-tuple linguistic information, Expert Systems with Applications, 39 (2012), 2662-2668. [66] F. Ye and Y. Li, An extended TOPSIS model based on the Possibility theory under fuzzy environment, Knowledge-Based Systems, 67 (2014), 263-269. [67] X. Y. You, J. X. You, H. C. Liu and L. Zhen, Group multi-criteria supplier selection using an extended VIKOR method with interval 2-tuple linguistic information, Expert Systems with Applications, 42 (2015), 1906-1916. [68] H. M. Zhang, Some interval-valued 2-tuple linguistic aggregation operators and application in multi-attribute group decision making, Applied Mathematical Modelling, 37 (2013), 4269- 4282. [69] L. G. Zhou and H. Y. Chen, The induced linguistic continuous ordered weighted geometric operator and its application to group decision making, Computers & Industrial Engineering, 66 (2013), 222-232. | ||
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