Jensen type inequality for the bipolar Shilkret and Sugeno integrals

Milos Todorov, Mirjana Strboja, B. Mihailovic
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Abstract

Besides giving an overview of some properties of the bipolar Shilkret and Sugeno integrals, we propose the conditions for the validity of the Jensen type inequality for these integrals. In order to illustrate the obtained results, some examples are given.
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双极Shilkret积分和Sugeno积分的Jensen型不等式
在概述双极Shilkret积分和Sugeno积分的一些性质的基础上,给出了这些积分的Jensen型不等式成立的条件。为了说明所得结果,给出了一些算例。
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