Abstract
Group decision making (GDM) under a fuzzy environment is one of the research focuses recently. Triangular fuzzy number can be used as an effective tool to capture the vagueness encountered by decision makers (DMs). In this study, a novel GDM model is proposed when triangular fuzzy multiplicative reciprocal matrices (TFMRMs) are adopted to express the opinions of DMs. A generalized consistency index is constructed to quantify the inconsistency degree of TFMRMs, which reflects the basic idea of fuzzy set theory that everything has some elasticity. The interesting properties of the new consistency index are studied, and acceptable consistency of TFMRMs is discussed. Then, based on the proposed consistency index, an operator is proposed to aggregate the individual TFMRMs. The properties of the collective TFMRM are further investigated. Finally, a new algorithm for solving a GDM problem with TFMRMs is elaborated on. Numerical results are reported to illustrate the advantages and novelty of the proposed consistency-index-driven GDM model.
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