Abstract：The efficiency of computing λ plays a very important role in realtime fuzzy integral fusion. A numeric solution to obtain λ with Newton iterative method is discussed which could satisfy the realtime fuzzy integral fusion. By analyzing the range of λ and the relation between λ and fuzzy set ｛gi｝ under general case, some useful conclusions are derived. A concise numeric solution is proposed for computing f(λk) and f′(λk). Some numerical examples are carried out which show the efficiency and the excellence performance of the proposed algorithm.
贺升平，覃征. 实时模糊积分融合的快速求解λ算法*[J]. 模式识别与人工智能, 2007, 20(4): 499-504.
HE ShengPing , QIN Zheng. A Fast Computation Method for λ in RealTime Fuzzy Integral Fusion. , 2007, 20(4): 499-504.
[1] Yang Xuan, Pei Jihong, Yang Wanhai. Fusion Evaluation Using Sugeno’s Integral. Chinese Journal of Computers, 2001, 24(8): 815818 (in Chinese) (杨 桓,裴继红,杨万海,基于模糊积分的融合图像评价方法.计算机学报, 2001, 24(8): 815818) [2] Tahani H, Keller J M. Information Fusion in Computer Vision Using the Fuzzy Integral. IEEE Trans on Systems, Man and Cybernetics, 1990, 20(3): 733741 [3] Sugeno M. Fuzzy Measures and Fuzzy Integrals: A Survey // Gupta M M, Saridis G N, Gaines B R, eds. Fuzzy Automata and Decision Processes. Amsterdam, Netherlands: North Holland, 1977: 89102 [4] Zhang Chengjian, Gao Jian, He Nanzhong. Computational Methods. Beijing, China: Higher Education Press, 1999 (in Chinese) (张诚坚,高 健,何南忠.计算方法.北京:高等教育出版社,1999)
2007, Vol. 20 
