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Research Article Open access CC BY 3.0

Group Decision Making Based on Induced Generalized Uncertain Linguistic Aggregation Operators

Zhiming Zhang

Current Journal of Applied Science and Technology · pp. 2699–2751 · Published 15 May 2014

10.9734/BJAST/2014/10169

Abstract

Aims: The aim of this paper is to investigate group decision making based on induced generalized uncertain linguistic aggregation operators Study Design: In this paper, we propose some new operational laws of linguistic variables and uncertain linguistic variables on the basis of the extended triangular conorm and triangular norm, study their properties and relationships. Place and Duration of Study: The existing operational laws of linguistic variables and uncertain linguistic variables may have some drawbacks. Methodology: Based on new operational laws of linguistic variables and uncertain linguistic variables, we develop two new uncertain linguistic aggregation operators including the induced generalized uncertain linguistic ordered weighted averaging (IGULOWA) operator and induced generalized uncertain linguistic ordered weighted geometric (IGULOWG) operator. Results: Some desirable properties and special cases of the IGULOWA and IGULOWG operators are studied, and then, the IGULOWA and IGULOWG operators are utilized to develop an approach for multiple attribute group decision making with uncertain linguistic information. Conclusion: A practical application of the developed approach to an investment problem is given.

Multiple attribute group decision making linguistic variable uncertain linguistic variable Induced Generalized Uncertain Linguistic Ordered Weighted Averaging (IGULOWA) operator Induced Generalized Uncertain Linguistic Ordered Weighted Geometric (IGULOWG) operator

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