Consistency analysis and group decision making based on triangular fuzzy additive reciprocal preference relations

摘要: A positive triangular fuzzy number is expressed by a cross-ratio-expressed triplet.Operational laws are established for numbers (CRETFNs).Multiplicative consistency analyzed additive reciprocal preference relations.A weighted geometric operator developed to aggregate CRETFNsA novel method put forward comparing two CRETFNs. Triangular effective in modeling imprecise and uncertain information, have been widely applied decision making. This paper uses triplet characterize number, introduces notions of (CRETFNs) relations (TFARPRs). We present transformation methods between TFARPRs multiplicative relations, develop operational CRETFNs, such as complement, addition, multiplication power. based transitivity equation define TFARPRs. The new captures Tanino's among the modal values, interval relation constructed from lower upper support values judgments. Some desirable properties furnished multiplicatively consistent propose extend it fuse Score uncertainty index functions defined employed devise comparison detailed procedure solve group making problems with Six numerical examples provided illustrate validity applicability proposed models.