Department of Economics and Management, Chongqing University of Arts and Sciences, Yongchuan, Chongqing, 402160, P.R.China

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Abstract—With respect to multiple attribute group decision making problem with triangular fuzzy linguistic information, in which the attribute weights and expert weights take the form of real numbers, and the preference values take the form of triangular fuzzy linguistic variables, some operators for aggregating triangular fuzzy linguistic variables, such as the fuzzy linguistic harmonic mean (FLHM) operator, fuzzy linguistic weighted harmonic mean (FLWHM) operator, fuzzy linguistic ordered weighted harmonic mean (FLOWHM) operator, and fuzzy linguistic hybrid harmonic mean (FLHHM) operator are proposed. Based on the FLWHM and FLHHM operators, a practical method is developed for group decision making with triangular fuzzy linguistic variables. Finally, an illustrative example about software selection is given to verify the developed approach.

Index Terms—Multiple Attribute Group Decision Making; Triangular Fuzzy Linguistic Variables; Fuzzy Linguistic Ordered Weighted Harmonic Mean (FLOWHM) Operator; Fuzzy Linguistic Hybrid Harmonic Mean (FLHHM) Operator

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Cite: Guiwu Wei and Wende Yi, "Fuzzy Linguistic Hybrid Harmonic Mean Operator and Its Application to Software Selection," Journal of Software vol. 4, no. 9, pp. 1037-1042, 2009.