MV-Algebraic Moebius Transform on the Vietoris Space

Tomas Kroupa

doi:10.29007/xq5m

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MV-Algebraic Moebius Transform on the Vietoris Space

4 pages•Published: July 28, 2014

Tomas Kroupa

Abstract

Moebius transform is introduced for the representation of functions over a semisimple MV-algebra. The class of such functions is singled out and the properties of the generalized Moebius transform are studied. The main tool is the Vietoris space of all closed subsets of the maximal spectral space and the associated MV-algebra of continuous functions.

Keyphrases: Moebius transform, MV-algebra, state

In: Nikolaos Galatos, Alexander Kurz and Constantine Tsinakis (editors). TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic, vol 25, pages 129--132

Links:	https://easychair.org/publications/paper/cG51
	https://doi.org/10.29007/xq5m

BibTeX entry

@inproceedings{TACL2013:MV_Algebraic_Moebius_Transform_on,
  author    = {Tomas Kroupa},
  title     = {MV-Algebraic Moebius Transform on the Vietoris Space},
  booktitle = {TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic},
  editor    = {Nikolaos Galatos and Alexander Kurz and Constantine Tsinakis},
  series    = {EPiC Series in Computing},
  volume    = {25},
  pages     = {129--132},
  year      = {2014},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {https://easychair.org/publications/paper/cG51},
  doi       = {10.29007/xq5m}}

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