A generalization of universal integrals by means of level dependent capacities

作者：Klement Erich Peter; Kolesarova Anna; Mesiar Radko; Stupnanova Andrea^*

来源：Knowledge-Based Systems, 2013, 38: 14-18.

DOI：10.1016/j.knosys.2012.08.021

• Capacity
• Copula
• Choquet integral
• Level dependent capacities
• Sugeno integral
• Universal integral

An axiomatic approach to universal integrals based on level dependent capacities is presented. Based on a given semicopula, two corresponding extremal universal integrals based on level dependent capacities are given. If the underlying semicopula is even a copula, another class of universal integrals based on level dependent capacities is studied, generalizing, among others, both the Choquet and the Sugeno integral based on level dependent capacities which were introduced recently.

• 出版日期2013-1
• 单位中国人民解放军信息工程大学