Soft Computing

, Volume 22, Issue 15, pp 5043–5049 | Cite as

On invariant IF-state

  • Alžbeta MichalíkováEmail author
  • Beloslav Riečan


The Haar measure on invariant state for fuzzy sets is constructed in a locally compact space. Moreover, the invariant state is studied on MV-algebra generated by a family of intuitionistic fuzzy sets, important as well as from the theoretical point of view as from the applications.


Locally compact groups Intuitionistic fuzzy sets Invariant states MV-algebras 



This work was supported by the Slovak Research and Development Agency under the contract No. APVV-0219-12.

Compliance with ethical standards

Conflict of interest

Both the authors declare that there is no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of Natural ScienceMatej Bel UniversityBanská BystricaSlovakia
  2. 2.Mathematical InstitutSlovak Academy of SciencesBratislavaSlovakia

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