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Issue:On the embedding of continuous states

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http://ifigenia.org/wiki/issue:nifs/22/5/43-45
Title of paper: On the embedding of continuous states
Author(s):
Beloslav Riečan
Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, Slovakia
Mathematical Institute of Slovak Acad. of Sciences, Stefanikova 49, Bratislava, Slovakia
Beloslav.Riecan@umb.sk
Jaroslav Považan
Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, Slovakia
Published in: "Notes on IFS", Volume 22, 2016, Number 5, pages 43—45
Download:  PDF (123  Kb, Info)
Abstract: There is known the assertion that any state on a family F of IF-events can be embedded to an MV-algebra generated by F. In the contribution the assertion is extended for non-additive only upper and lower continuous mappings.
Keywords: Continuous states, Embedding
AMS Classification: 03E72.
References:
  1. Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Aplications. Physica-Verlag, Heidelberg.
  2. Atanassov, K. T. (2012) On Intuitionistic Fuzzy Sets. Springer, Berlin.
  3. Kluvancová , D. On non-additive IF states (in preparation).
  4. Riečan, B. (2015) Embedding of IF states to MV-algebras. In: Intelligent Systems 2014, Proc. 7th IEEE Int. Conf. Springer, 157–162.
  5. Riečan, B., & Samuelčík, K. On non-additive probability measures. Mathematica Slovaca (to appear).
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