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Vectorial MV-algebras

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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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Authors and Affiliations

  1. Department of Mathematics, University of Oradea, Romania, , , , , , RO

    D. Noje & B. Bede

Authors
  1. D. Noje
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  2. B. Bede
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Additional information

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

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