模糊测度是经典测度的推广,适用于存在交互作用环境下的综合评价问题.而勒贝格积分也相应地被模糊积分所代替,Choquet积分和Sugeno积分是多指标决策中应用较多的2种模糊积分.针对综合评价问题,Choquet积分和Sugeno积分存在一种不等式关系,对其进行证明,并讨论其在应用问题中的作用.
[1] 尤翠莲, 王根森, YOU Cui-lian, WANG Gen-sen. 一类新的模糊积分的性质 [J]. 河北大学学报（自然科学版） 2011.doi:10.3969/j.issn.1000-1565.2011.04.001
[2] 李雪非, 顾志华, 冯慧敏, LI Xue-fei, GU Zhi-hua, FENG Hui-min. 模糊积分分类器中的自适应模糊测度 [J]. 河北大学学报（自然科学版） 2012.doi:10.3969/j.issn.1000-1565.2012.04.002
[3] SUGENO M. Theory of fuzzy integrals and its applications [D]. Tokyo:Tokyo Institute of Technology 1974.
[4] SUGENO M, MUROFUSHI T. Choquet integral as an integral form for a general class of fuzzy measures [A]. Tokyo Japan 1987.
[5] GRABISCH M, SUGENO M. Multi-attribute classification using fuzzy integral [A]. San Diego, California, USA 1992.
[6] GRABISCH M. Fuzzy integral in multicriteria decision making [J]. Fuzzy Sets and Systems 1995, 69.
[7] 王熙照. 模糊测度和模糊积分及在分类技术中的应用 [M]. 北京:科学出版社 2008.
[8] Temko A, Macho D, Nadeu C. Fuzzy integral based information fusion for classification of highly confusable non-speech sounds [J]. Pattern Recognition: The Journal of the Pattern Recognition Society 2008, 5(5).
[9] Li Juan Wang. An improved multiple fuzzy NNC system based on mutual information and fuzzy integral [J]. International journal of machine learning and cybernetics 2011, 1(1).
[10] WANG Zhenyuan, GEORGE J KLIR. Fuzzy measure theory [M]. New York..Plenum Press 1992.
[11] MUROFUSHI T, SUGENO M. Fuzzy measures and integrals [M]. New York:Pyhsica Verlag 2000.
