Abstract
In Chap. 4, we discuss the multiple criteria decision making problems in which the evaluation values of alternatives over different criteria are given as the hesitant fuzzy decision matrix H (shown as Eq. (5.1)) and the weight information of the criteria are completely known. However, in many cases, the weight information is not completely known.
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References
Berger AL, Pietra SAD, Pietra VJD (1996) A maximum entropy approach to natural language processing. Comput Linguist 22(1):39–71
Chen YL, Cheng LC (2010) An approach to group ranking decision in dynamic environment. Decis Support Syst 48(4):622–634
Chen Y, Li B (2011) Dynamic multi-attribute decision making model based on triangular intuitionistic fuzzy number. Scientia Iranica B 18(2):268–274
Chen N, Xu ZS, Xia MM (2013) Interval-valued hesitant preference relations and their applications to group decision making. Knowl-Based Syst 37:528–540
Darroch JN, Ratcliff D (1972) Generalized iterative scaling for Log-Linear models. Ann Math Stat 43(5):1470–1480
Filev D, Yager RR (1995) Analytic properties of maximum entropy OWA operators. Inf Sci 85(1–3):11–27
French S, Hartley R, Thomas LC, White DJ (1983) Multi-objective decision making. Academic Press, New York
Fullér R, Majlender P (2000) An analytic approach for obtaining maximal entropy OWA operator weights. Fuzzy Sets Syst 124(1):53–57
Fullér R, Majlender P (2003) On obtaining minimal variability OWA operator weights. Fuzzy Sets Syst 136(2):203–215
Liao HC, Xu ZS (2014a) Priorities of intuitionistic fuzzy preference relation based on multiplicative consistency. IEEE Trans Fuzzy Syst 22(6):1669–1681
Liao HC, Xu ZS (2014b) Satisfaction degree based interactive decision making method under hesitant fuzzy environment with incomplete weights. Int J Uncertainty Fuzziness Knowl-Based Syst 22(4):553–572
Liao HC, Xu ZS, Xu JP (2014) An approach to hesitant fuzzy multi-stage multi-criterion decision making. Kybernetes 43(9/10):1447–1468
Majlender P (2005) OWA operators with maximal Rényi entropy. Fuzzy Sets Syst 155(3):340–360
Nasibova RA, Nasibov EN (2010) Linear aggregation with weighted ranking. Autom Control Comput Sci 44(2):96–102
O’Hagan M (1988) Aggregating template or rule antecedents in real-time expert systems with fuzzy set logic. Proceedings 22nd annual IEEE asilomar conference on signals, systems and computers. IEEE & Maple Press, Pacific Grove, CA, pp 681–689
Perez IJ, Cabrerizo FJ, Herrera-Viedma E (2011) A mobile group decision making model for heterogeneous information and changeable decision contexts. Int J Uncertainty Fuzziness Knowl-Based Syst 19(33):33–52
Rényi A (1961) On measures of entropy and information. In: Proceedings 4th Berkeley symposium on mathematical statistics and probability. University of California Press, California, pp. 547–561
Terlaky T (1996) Interior point methods in mathematics programming. Kluwer Press, Boston, MA
Xia MM, Xu ZS, Chen N (2013) Some hesitant fuzzy aggregation operators with their application in group decision making. Group Decis Negot 22(2):259–279
Xu ZS (2004) Method based on expected values for fuzzy multiple attribute decision making problems with preference information on alternatives. Syst Eng-Theory Pract 119(1):109–113
Xu ZS (2008) On multi-period multi-attribute decision making. Knowl-Based Syst 21(2):164–171
Xu ZS (2009) Multi-period multi-attribute group decision making under linguistic assessments. Int J Gen Syst 38(8):823–850
Xu ZS, Xia MM (2011) Distance and similarity measures for hesitant fuzzy sets. Inf Sci 181:2128–2138
Xu ZS, Yager RR (2008) Dynamic intuitionistic fuzzy multi-attribute decision making. Int J Approximate Reasoning 48(1):246–262
Xu ZS, Zhang XL (2013) Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information. Knowl-Based Syst 52:53–64
Yager RR (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18(1):183–190
Yager RR (2008) Time series smoothing and OWA aggregation. IEEE Trans Fuzzy Syst 16(4):994–1007
Yager RR (2009) Weighted maximum entropy OWA aggregation with applications to decision making under risk. IEEE Trans Syst Man Cybern Part A Syst Hum 39(3):555–564
Zendehedl K, Rademaker M, De Baets B, Van Huylenbroeck G (2009) Improving tractability of group decision making on environmental problems through the use of social intensities of preferences. Environ Model Softw 24(12):1457–1466
Zhao H, Xu ZS, Wang H, Liu SS (2016) Hesitant fuzzy multi-attribute decision making based on the minimum deviation method. Soft Comput doi:10.1007/s00500-015-2020-y
Zimmermann HJ, Zysno P (1980) Latent connectives in human decision making. Fuzzy Sets Syst 4:37–51
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Liao, H., Xu, Z. (2017). Hesitant Fuzzy Multiple Criteria Decision Making Methods with Incomplete Weight Information. In: Hesitant Fuzzy Decision Making Methodologies and Applications . Uncertainty and Operations Research. Springer, Singapore. https://doi.org/10.1007/978-981-10-3265-3_5
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DOI: https://doi.org/10.1007/978-981-10-3265-3_5
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