An approach to pseudo-integration of set-valued functions

作者：Grbic Tatjana; Stajner Papuga Ivana^*; Strboja Mirjana

来源：Information Sciences, 2011, 181(11): 2278-2292.

DOI：10.1016/j.ins.2011.01.038

• Pseudo-operations
• Pseudo-integral
• Set-valued functions
• Interval-valued functions

The set-valued function in general is an important mathematical notion that plays a crucial role in several practical areas. This paper does not focus only on the pseudo-integration of set-valued functions in general, but also on a special case, namely on the pseudo-integration of interval-valued functions. Therefore, an approach to the integration of set (interval)valued functions based on both classical Aumann's approach and pseudo-analysis' tools is given. Also, some important properties of this type of integral are investigated.

• 出版日期2011-6-1