极值泛积分的Jensen型不等式

2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics Pub Date : 2012-10-25 DOI:10.1109/SISY.2012.6339578

E. Pap, Mirjana Strboja

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引用次数: 8

摘要

基于非加性测度的积分，如Choquet、Sugeno等，在一些实际领域发挥着重要作用。普遍积分是Choquet积分和Sugeno积分的推广。由于Lebesgue积分的Jensen不等式在许多领域都有应用，本文观察了作为Choquet、Shilkret和半形模糊积分推广的极值泛积分的相应不等式。

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Jensen type inequality for extremal universal integrals

The integrals based on non-additive measures, e.g. Choquet, Sugeno play important roles in several practical areas. Universal integral as generalization of Choquet and Sugeno integrals has been recently proposed. Since the Jensen inequality for Lebesgue integral has applications in many areas, in this paper, the corresponding inequality related to the extremal universal integral as generalization of Choquet, Shilkret and seminormed fuzzy integrals is observed.

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来源期刊

2012 IEEE 10th Jubilee International Symposium on Intelligent Systems and Informatics

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