Abstract:

For the problem of hybrid multiple attribute decision making with known information on attribute weights to which the attribute values are given in terms of crisp numbers, interval numbers, triangular fuzzy numbers and trapezoidal fuzzy numbers, a hybrid superiority and inferiority ranking (HBSIR)method is proposed based on the outranking relation. Firstly, according to the hybrid decision matrix, the positiveideal alternative and negativeideal alternative are determined, then the hybrid decision matrix is transformed into both standardized advantage difference information matrix and standardized disadvantage difference information matrix based on different distance calculation formulas. Moreover, the superiority matrix (Smatrix) and the inferiority matrix (Imatrix) are constructed by calculating the superiority indexes and the inferiority indexes according to the Gaussian criterion. Furthermore, the simple 〖JP2〗additive weighting (SAW) method is employed to calculate the superiority flow and inferiority flow, and the complete〖JP〗 ranking or partial ranking of the alternatives can be obtained. Finally, a numerical example is used to illustrate the feasibility and validity of the proposed method.