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Intuitionistic linguistic group decision-making methods based on generalized compensative weighted averaging aggregation operators. (English) Zbl 1402.91114

Summary: As one of the key research topic in multi-criteria group decision making (MCGDM), aggregation operator has been drawn widespread concern from academics and practitioners. In order to reflect the characteristics of human decision, it is necessary to introduce an operator with compensation ability to close the gap between the theoretical results and experimental results. Based on generalized compensative weighted averaging operator, intuitionistic linguistic generalized compensative weighted averaging (ILGCWA) operator, intuitionistic linguistic generalized compensative ordered weighted averaging (ILGCOWA) operator, and power generalized compensative weighted averaging aggregation (ILPGCWA) operator are developed in this paper. These operators provide two additional parameters to represent decision makers’ attitude and decision makers’ preference for all kinds of alternatives in the aggregation process, respectively. Moreover, some special cases with regard to the generalized parameters \(p\) and \(\lambda \) are investigated in detail in ILGCWA operator and ILGCOWA operator. Some examples are employed to illustrate the effectiveness of the proposed methods, which can be applied to solve MCGDM problem with intuitionistic linguistic information.

MSC:

91B06 Decision theory
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[1] Aggarwal, M., Compensative weighted averaging aggregation operators, Appl Soft Comput, 28, 368-378, (2015) · doi:10.1016/j.asoc.2014.09.049
[2] Aggarwal, M., Generalized compensative weighted averaging aggregation operators, Comput Ind Eng, 87, 81-90, (2015) · doi:10.1016/j.cie.2015.04.021
[3] Atanassov, KT, Intuitionistic fuzzy sets, Fuzzy Sets Syst, 20, 87-96, (1986) · Zbl 0631.03040 · doi:10.1016/S0165-0114(86)80034-3
[4] Dyckhoff, H.; Pedrycz, W., Generalized means as a model of compensation connectives, Fuzzy Sets Syst, 14, 143-154, (1984) · Zbl 0551.03035 · doi:10.1016/0165-0114(84)90097-6
[5] Herrera, F.; Herrera-Viedma, E., Aggregation operators for linguistic weighted information, IEEE Trans Syst Man Cybern A Syst Hum, 27, 646-656, (1997) · doi:10.1109/3468.618263
[6] Ju, YB; Yang, SH, A new method for multiple attribute group decision-making with intuitionistic trapezoid fuzzy linguistic information, Soft Comput, 19, 2211-2224, (2015) · Zbl 1360.91070 · doi:10.1007/s00500-014-1403-9
[7] Lan, JB; Chen, YW; Ning, MY; Wang, ZX, A new linguistic aggregation operator and its application to multiple attribute decision making, Oper Res Perspect, 2, 156-164, (2015) · doi:10.1016/j.orp.2015.09.001
[8] Liu, PD, Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making, J Comput Syst Sci, 79, 131-143, (2013) · Zbl 1261.68116 · doi:10.1016/j.jcss.2012.07.001
[9] Liu, PD; Tang, GL, Multi-criteria group decision-making based on interval neutrosophic uncertain linguistic variables and Choquet integral, Cognit Comput, 8, 1036-1056, (2016) · doi:10.1007/s12559-016-9428-2
[10] Liu, PD; Wang, YM, Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators, Appl Soft Comput, 17, 90-104, (2014) · doi:10.1016/j.asoc.2013.12.010
[11] Liu, J.; Li, WJ; Chen, SW; Xu, Y., An axiomatizable logical foundation for lattice-ordered qualitative linguistic approach for reasoning with words, Inf Sci, 263, 110-125, (2014) · Zbl 1328.68229 · doi:10.1016/j.ins.2013.09.010
[12] Merigo, JM; Casanovas, M.; Martnez, L., Linguistic aggregation operators for linguistic decision making based on the Dempster-Shafer theory of evidence, Int J Uncertain Fuzziness Knowl Based Syst, 18, 287-304, (2010) · Zbl 1214.68402 · doi:10.1142/S0218488510006544
[13] Wang, JQ; Li, HB, Multi-criteria decision-making method based on aggregation operators for intuitionistic linguistic fuzzy numbers, Control Decis, 25, 1571-1574, (2010)
[14] Wang, XF; Wang, JQ; Yang, WE, Multi-criteria group decision making method based on intuitionistic linguistic aggregation operators, J Intell Fuzzy Syst, 26, 115-125, (2014) · Zbl 1306.91045
[15] Wang, JQ; Lu, P.; Zhang, HY; Chen, XH, Method of multi-criteria group decision-making based on cloud aggregation operators with linguistic information, Inf Sci, 274, 177-191, (2014) · Zbl 1341.91047 · doi:10.1016/j.ins.2014.02.130
[16] Wang, Xinfan; Wang, Jianqiang; Deng, Shengyue, Some Geometric Operators for Aggregating Intuitionistic Linguistic Information, International Journal of Fuzzy Systems, 17, 268-278, (2015) · doi:10.1007/s40815-015-0007-6
[17] Wang, XF; Wang, JQ; Deng, SY, Some geometric operators for aggregating intuitionistic linguistic information, Int J Fuzzy Syst, 17, 268-278, (2015) · doi:10.1007/s40815-015-0007-6
[18] Xiao, GQ; Li, KL; Zhou, X.; Li, KQ, Efficient monochromatic and bichromatic probabilistic reverse top-k query processing for uncertain big data, J Comput Syst Sci, (2016) · Zbl 1372.68227 · doi:10.1016/j.jcss.2016.05.010
[19] Xu, ZS, Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment, Inf Sci, 168, 171-184, (2004) · Zbl 1170.91328 · doi:10.1016/j.ins.2004.02.003
[20] Xu, ZS, EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations, Int J Uncertain Fuzziness Knowl Based Syst, 12, 791-810, (2004) · Zbl 1076.91508 · doi:10.1142/S0218488504003211
[21] Xu, ZS, An overview of methods for determining OWA weights, Int J Intell Syst, 20, 843-865, (2005) · Zbl 1073.90020 · doi:10.1002/int.20097
[22] Xu, ZS, On generalized induced linguistic aggregation operators, Int J Gen Syst, 35, 17-28, (2006) · Zbl 1287.68162 · doi:10.1080/03081070500422836
[23] Xu, YJ; Da, QL; Liu, XW, Some properties of linguistic preference relation and its ranking in group decision making, J Syst Eng Electron, 21, 244-249, (2010) · doi:10.3969/j.issn.1004-4132.2010.02.012
[24] Yager, RR, The power average operator, IEEE Trans Syst Man Cybern A Syst Hum, 31, 724-731, (2001) · doi:10.1109/3468.983429
[25] Yu, SM; Wang, J.; Wang, JQ, An extended TODIM approach with intuitionistic linguistic numbers, Int Trans Oper Res, (2016) · Zbl 1391.90357 · doi:10.1111/itor.12363
[26] Yue, ZL, An extended TOPSIS for determining weights of decision makers with interval numbers, Knowl Based Syst, 24, 146-153, (2011) · doi:10.1016/j.knosys.2010.07.014
[27] Zadeh, LA, Fuzzy sets, Inf. Control, 8, 338-356, (1965) · Zbl 0139.24606 · doi:10.1016/S0019-9958(65)90241-X
[28] Zhou, X.; Li, KL; Zhou, YT; Li, KQ, Adaptive processing for distributed skyline queries over uncertain data, IEEE Trans Knowl Data Eng, 28, 371-384, (2016) · doi:10.1109/TKDE.2015.2475764
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