L-R geometric consistency definition of triangular multiplicative preference relation in group decision making

Autor: Xianjuan Cheng, Shu-Ping Wan, Jiu-Ying Dong, Changxiong Chen
Rok vydání: 2021
Předmět:
Zdroj: Fuzzy Sets and Systems. 409:85-113
ISSN: 0165-0114
DOI: 10.1016/j.fss.2020.07.006
Popis: Triangular multiplicative preference relation (TMPR) is an efficient technology which can make experts to comfortably express their paired comparisons. Existing consistency definitions of TMPR overlook experts' trust levels on their judgments. Considering experts' trust levels, this paper proposes a left and right (L-R) geometric consistency definition of TMPR and develops a new group decision-making (GDM) method. The L-R geometric means of triangular fuzzy number (TFN) are defined. Then, L-R geometric consistency of TMPR is given involving experts' trust levels about their judgments. To improve the consistency, a programming model is constructed to derive an acceptably consistent TMPR from an unacceptably consistent one. Using the difference degree between two TMPRs, a new approach is presented to extract experts' weights. Two algorithms are established for the methods of individual decision-making (IDM) with a TMPR and GDM with TMPRs. A simulation algorithm is devised to verify the superiority of the proposed IDM with a TMPR. Simulation results reveal that the proposed IDM method outperforms existing methods in logarithmic Hamming distance and difference degree. L-R geometric consistency makes contribution to TMPR since it considers experts' trust levels and has reciprocity, invariance and robustness. Several real-life examples are furnished to explain the validity of two proposed algorithms.
Databáze: OpenAIRE
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