Multi-criteria decision-making approach with incomplete certain information based on ternary AHP

1.INTRODUCTIONIn economics and social life,there exist many multi-ple criteria decision-making(MCDM)problems,butin many of them,the numerical values of some crite-ria are subject to i mprecision,uncertainty,and inde-termination,just as Roy et al explained1].The con-cept of pseudo-criteria and its two thresholds can al-low such phenomenon taken into account.So far,outranking relation methods,which are ELECTREIS,III and TRI,PROMETHEE and others,inwhich an outranking relation bet…

Multi-criteria decision-making approach with incomplete certain information based on ternary AHP

It is not uncommon in multiple criteria decision-making that the numerical values of alternatives of some criteria are subject to imprecision, uncertainty and indetermination and the information on weights of criteria is incomplete certain. A new multiple criteria decision-making method with incomplete certain information based on ternary AHP is proposed. This improves on Takeda's method. In this method, the ternary comparison matrix of the alternatives under each pseudo-criteria is constructed, the eigenvector associated with the maximum eigenvalue of the ternary comparison matrix is attained as to normalize priority vector of the alternatives, then the order of alternatives is obtained by solving two kinds of linear programming problems. Finally, an example is given to show the feasibility and effectiveness of the method.