On effect algebras of fuzzy sets

被引：0

作者：

Martin Papčo

机构：

[1] Slovak Academy of Sciences,Mathematical Institute

[2] Catholic University in Ružomberok,Department of Mathematics, Pedagogical Faculty

来源：

Soft Computing | 2008年 / 12卷

关键词：

Primary 08A55; 08A72; 54B30; Secondary 54A20; 60D05; D-poset; Effect algebra; Convergence Sequentially continuous D-homomorphism; Convergence effect algebra; Sequentially continuous EA-homomorphism; D-poset of fuzzy sets; Pointwise convergence; ID-poset; Effect algebra of fuzzy sets; IE-algebra; Sober IE-algebra; Closed IE-algebra; IE-measurable space; Measurable map; Natural equivalence; Duality; Monocoreflective subcategory; Epireflective subcategory; Product; Coproduct; Generalized elementary event; Generalized measurable space; Generalized probability measure; State; Fuzzy random variable; Observable;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce the category IE of effect algebras of fuzzy sets and sequentially continuous effect homomorphisms and describe its fundamental properties. We show that IE and the category ID of D-posets of fuzzy sets are isomorphic, hence the constructions and properties of ID related to applications to probability theory are valid for the corresponding effect algebras. We describe basic properties of categorical coproducts in ID and dually of categorical products in the corresponding category MID of measurable spaces. We end with remarks on fuzzy probability notions.

引用

页码：373 / 379

页数：6