Based on the balanced scorecards proposed by Kaplan and Norton, it is developed in this paper the enhanced balanced scorecards and their novel application field regarding society environment and future development, which includes construction of performance evaluation index system from five aspects such as finance, customer service, intra flow process, learning and development, and society development within supply chain. Another original point of this paper is that the Logarithm Triangular Fuzzy Number- AHP method (LTFN--AHP) is creatively used to evaluate the integrative performance evaluation index system. This special AHP method can overcome some disadvantages that experts can directly give definite numbers when the traditional AHP method is used to value certainty and evaluate the qualitative index. More important, LTFN-AHP is a scientific qualitative and quantitative evaluation tool. Then the real cases are researched based on all discussions above.