Possibility measures and possibility integrals defined on a complete lattice

Gert de Cooman; Guangquan Zhang; Etienne E.Kerre

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Possibility measures and possibility integrals defined on a complete lattice

机译：在完整晶格上定义的可能性度量和可能性积分

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摘要

We consider the definition of possibility measures on complete lattices rather than o 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.

机译：我们考虑对完全格而不是集合的完整布尔代数的可能性度量的定义。我们提供了任何映射到这种可能性度量的可扩展性的必要和充分条件。我们还将两种类型的积分与这些可能性度量相关联，并讨论它们的一些更重要的性质，其中包括单调收敛定理。

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来源
《Fuzzy sets and systems》 |2001年第3期|p.459-467|共9页
作者
Gert de Cooman; Guangquan Zhang; Etienne E.Kerre;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类模糊数学;
关键词
Triangular norm; Possibility measure; Possibility integral; P-consistency;

机译：三角范数可能性措施;可能性积分;P一致性;

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2. Extension of Fuzzy Number-valued Possibility Measures on a Complete Lattice [J] . Guangquan Zhang, Yonghong Wu The Journal of fuzzy mathematics . 2000,第1期

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3. Possibilities Of Processing Of Signals With Completely Defined Parameters Against A Background Of Interferences (noises) In A Signal Space With Algebraic Lattice Properties [J] . A, A, Popov Radioelectronics and Communications Systems . 2008,第8期

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6. Verification and Defined Dosage of Sodium Pentobarbital for a Urodynamic Study in the Possibility of Survival Experiments in Female Rat [O] . Sheng-Fei Xu, Guang-Hui Du, Kuerbanjiang Abulikim, 2020

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7. Possibility Measures And Possibility Integrals Defined On A Complete Lattice [O] . Gert De Cooman, Guangquan Zhang, Etienne E. Kerre 1998

机译：在完整格上定义的可能性度量和可能性积分

Possibility measures and possibility integrals defined on a complete lattice

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