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Integrated fuzzy logarithm preference programming proposed by the paper can be used to treat AHP and ANP problem effectively and reliably. The method improves FPP defects, such as comparative matrix is treated one by one and weight generated by upper triangular judgment of matrix is different from that by lower triangular judgment. In the five examples, the result shows because of extra constraint, FPP method makes upper triangular judgment and lower triangular judgment obtain priority and ordering discrepancy. Because upper triangular judgment provides the same information as lower triangular judgment, priority will also be the same. The proposed method of using multiplicative constraints can obtain the same priority and ordering; moreover, through multi-objective programming, the proposed method can solve all comparative matrixes at the same time while their complexity is not related to the number of comparative matrixes. Introduction Analytic Hierarchy Process (AHP) [1] has been widely applied to multi-criteria decision making to measure visible and invisible criteria; AHP aims to decompose decision-making process into hierarchical structure and supposes that different hierarchical criteria are independent from each other. However, when the method is used to judge interval, inconsistent problem will appear, making it difficult to generate weight value [2]. Literature [3] proposes Lexicographic Orderings Goal Programming (LOGP), using deviation variables in AHP interval to solve inconsistent problem. Literature [4] proposes Fuzzy Preference Programming (FPP), obtaining clear priority from intervals or fuzzy comparative matrix by means of introducing tolerance parameter, but because weight is generated by extra constraints in FPP, different priorities and orderings [5] will be obtained from upper and lower triangular judgments. Fuzzy preference programming model FPP is used to treat fuzzy comparative matrix, especially those inconsistent fuzzy matrixes. Assumed that { } ij A a =  represents pairing fuzzy comparative matrix with n criteria.

RBF fuzzy reasoning flexible decision making method oriented to statistical information