|
|||||
|
|
Possibility measures and possibility integrals defined on a complete lattice |
|
| Authors: | Gert de Cooman Guangquan Zhang Etienne E Kerre |
| Institution: | a Vakgroep Elektrische Energietechniek, Universiteit Gent, Zwijnaarde 9, 9052 Gent, Belgium;b School of Mathematics and Statistics, Curtin University of Technology, GPO Box U 1987, Perth WA 6845, Australia;c Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281-59, B-9000, Gent, Belgium |
| Abstract: | We consider the definition of possibility measures on complete lattices rather than on complete Boolean algebras of sets. We give a necessary and sufficient condition for the extendability of any mapping to such a possibility measure. We also associate two types of integrals with these possibility measures, and discuss some of their more important properties, amongst which a monotone convergence theorem. |
| Keywords: | Triangular norm Possibility measure Possibility integral P-consistency Possibilistic extension |
| 本文献已被 ScienceDirect 等数据库收录！ | |