Some proportional 2-tuple geometric aggregation operators for linguistic decision making

Article type: Research Article

Authors: Xu, Yejun^; | Shi, Panfeng^; | Merigó, José M. | Wang, Huimin^;

Affiliations: State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing, PR China | Research Institute of Management Science, Business School, Hohai University, Nanjing, PR China | Department of Business Administration, University of Barcelona, Barcelona, Spain

Note: [] Corresponding author. Yejun Xu, State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing, PR China. Tel.: +86 25 68514612; Fax: +86 25 85427972; E-mail: [email protected]

Abstract: In this paper, we investigate decision making problems with fuzzy linguistic information. Motivated by the idea of proportional 2-tuple (PT), we develop some new aggregation operators such as PT weighted geometric averaging operator, PT ordered weighted geometric averaging operator and PT hybrid geometric averaging operator, which can be utilized to aggregate preference information taking the form of linguistic variables, and study some desirable properties. Based on the aforesaid operators, we develop a practical method for decision making under the PT linguistic environments. Finally, an example is given to verify the developed approach and demonstrate its practicality and effectiveness.

Keywords: Proportional 2-tuple fuzzy linguistic representation model, proportional 2-tuple weighted geometric averaging (PTWGA) operator, proportional 2-tuple ordered weighted geometric averaging (PTOWGA) operator, proportional 2-tuple hybrid geometric averaging (PTHGA) operator

DOI: 10.3233/IFS-130774

Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 3, pp. 833-843, 2013