Xu, Zeshui A method based on linguistic aggregation operators for group decision making with linguistic preference relations. (English) Zbl 1101.68849 Inf. Sci. 166, No. 1-4, 19-30 (2004). Summary: We define some operational laws of linguistic variables and develop some new aggregation operators such as Linguistic Geometric Averaging (LGA) operator, linguistic weighted geometric averaging operator, linguistic ordered weighted geometric averaging operator and Linguistic Hybrid Geometric Averaging (LHGA) operator, etc., which can be utilized to aggregate preference information taking the form of linguistic variables, and then study some desirable properties of the operators. Based on the LGA and the LHGA operators, we propose a practical method for group decision making with linguistic preference relations. The method is straightforward and has no loss of information. Finally, an illustrative numerical example is also given. Cited in 158 Documents MSC: 68T20 Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) 68T50 Natural language processing Keywords:Group decision making; Linguistic preference relations; Aggregation operators; Operational laws PDFBibTeX XMLCite \textit{Z. Xu}, Inf. Sci. 166, No. 1--4, 19--30 (2004; Zbl 1101.68849) Full Text: DOI References: [1] Kim, S. H.; Choi, S. H.; Kim, J. K., An interactive procedure for multiple attribute group decision making with incomplete information: range-based approach, European Journal of Operational Research, 118, 139-152 (1999) · Zbl 0946.91006 [2] Saaty, T. L., The Analytic Hierarchy Process (1980), McGraw-Hill: McGraw-Hill New York, NY · Zbl 1176.90315 [3] Vargas, L. G., Reciprocal matrices with random coefficients, Mathematical Modelling, 3, 69-81 (1982) · Zbl 0537.62100 [4] Xu, Z. S.; Wei, C. 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