Vectorial MV-algebras

被引：3
|
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.
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页码：258 / 262
页数：5
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