Abstract
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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2000 Mathematics Subject Classification 06D35; 06B23; 41A10
Current address: Armatei Romane 5, 3700 Oradea, Romania e-mail address: dnoje@uoradea.ro
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Noje, D., Bede, B. Vectorial MV-algebras. Soft Computing 7, 258–262 (2003). https://doi.org/10.1007/s00500-002-0197-3
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DOI: https://doi.org/10.1007/s00500-002-0197-3