On invariant IF-state

• Atanassov K (1999) Intuitionistic fuzzy sets. Physica, Heidelberg, pp 1–137

  MATH  Google Scholar 

• Ciungu L, Riečan B (2009) General form of probabilities on IF-sets, fuzzy logic and applications. In: Proceedings of the WILF Palermo, pp 101–107

• Ciungu L, Riečan B (2010) Representation theorem for probabilities on IFS-events. Inf Sci 180:793–798

  Article  MathSciNet  MATH  Google Scholar 

• Čunderlíková K (2008) The individual ergodic theorem on IF events. Soft computing a fusion of foundations, methodologies and applications, generalized nets and related topics, vol I, 3360. EXIT, Warsaw

  Google Scholar 

• De SK, Biswas R, Roy AR (2001) An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst 117(2):209–213

  Article  MATH  Google Scholar 

• \(\check{\text{D}}\)urica M (2010) Hudetz entropy on IF events. Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets, and related topics, vol I. IBS PAN SRI PAS, Warsaw, pp 73–86

• Halmos PR (1950) Measure theory. Van Nostrand, New York

  Book  MATH  Google Scholar 

• Jurečková M, Riečan B (2005) On invariant observables and the individual ergodic theorem. Int J Theor Phys 4:1587–1597

  MathSciNet  MATH  Google Scholar 

• Lašová L (2010) The individual ergodic theorem on IF events. Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets, and related topics, vol I. IBS PAN SRI PAS, Warsaw, pp 131–140

  Google Scholar 

• Markechová D, Riečan B, Rényi entropy and Rényi divergence in the intuitionistic fuzzy case. Entropy (to appear)

• Markechová D, Stehlíková D, Tirpáková A (2016) The uniqueness of a left Haar measure in topological IP-loops. Mathematica Slovaca 66(5):1–8

  Article  MathSciNet  MATH  Google Scholar 

• Michalíková A Riečan B (2017) On the Lebesgue IF measure, notes on intuitionistic fuzzy sets. ISSN: 1310–4926, pp 8–12

• Riečan B (2006) On a problem of Radko Mesiar: general form of IF-probabilities. Fuzzy Sets Syst 152:1485–1490

  MathSciNet  MATH  Google Scholar 

• Riečan B (2009) Poincaré recurrence theorem in MV-algebras. In: Prov. IFSA/EUSFLAT congress Lisabon, pp 1880–1881

• Riečan B (2012) In: Koleshko V (ed) Analysis of fuzzy logic models, intelligent systems. INTECH, London, pp 217–244

  Google Scholar 

• Riečan B (2013) Variations on a Poincaré theorem. Fuzzy Sets Syst 232:39–45

  Article  MATH  Google Scholar 

• Schwarz Š (1957) On the existence of invariant measures on certain type of bicompact semigroups (in Russian). Czech Math J 7:165–182

  Google Scholar 

• Stehlíková B, Markechová D, Tirpáková A (2011) On the existence of a Haar measure in topological IP-loops. Kybernetika 47(5):740–754

  MathSciNet  MATH  Google Scholar 

• Szmidt E, Kacprzyk J (2001) Intuitionistic fuzzy sets in some medical applications. Notes IFS 7(4):58–64

  MATH  Google Scholar 

• Zadeh L (1965) Fuzzy sets. Inf Control 8:338–358

  Article  MATH  Google Scholar 

• Zadeh L (1968) Probability measures of fuzzy events. J Math Anal Appl 23:421–427

  Article  MathSciNet  MATH  Google Scholar 

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