Vectorial MV-algebras

被引：2

作者：

Noje, D ^{[1
]}

Bede, B ^{[1
]}

机构：

[1] Univ Oradea, Dept Math, Oradea, Romania

来源：

SOFT COMPUTING | 2003年 / 7卷 / 04期

关键词：

MV-algebras; complete lattices; completions; approximation by polynomials;

D O I：

10.1007/S00500-002-0197-3

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper we introduce the concepts of vectorial MV-algebra, vectorial complete MV-algebra, modulus of continuity and continuous function with values in a vectorial complete MV-algebra. The main result of this paper is a Weierstrass type approximation theorem for functions taking values on vectorial complete MV-algebras. As examples, we construct such a structure on the RGB model (this represents the colours model of a pixel on the screen) and on the space of fuzzy subsets of a set.

引用

页码：258 / 262

页数：5

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