Vectorial MV-algebras

被引：0
作者：
D. Noje
B. Bede
机构：
[1] Department of Mathematics, University of Oradea
[2] not available, 3700 Oradea
来源：
Soft Computing | 2003年 / 7卷 / 4期
关键词：
Approximation by polynomials; Complete lattices; Completions; MV-algebras;
D O I：
10.1007/s00500-002-0197-3
中图分类号：
学科分类号：
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. © Springer-Verlag 2003.
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页码：258 / 262
页数：4
相关论文
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