ON THE FUZZY CONDITIONAL SEQUENCE LOCAL ENTROPY FUNCTION

Abstract

In this work,we first recall some basic properties of the fuzzy conditional sequence entropy function without going into details. After that,we define the fuzzy conditional sequence local entropy function. Lastly, we prove some important results relating to this function.

Keywords

• Fuzzy dynamical system, fuzzy complete system,conditional entropy function, fuzzy sequence entropy function,fuzzy conditional sequence entropy function,fuzzy local entropy function,fuzzy conditional sequence local entropy function

Kaynakça

1. Billingsley information,Wiley,New York,1965
2. CohnD.,L.,Measure theory,Birchauser, Boston, Hulse P.,Sequence entropy relative to an invariant-algebra,J. London Math.Soc. (2),59-72, Kloeden P.,E., Fuzzy dynamical systems,Fuzzy Sets and Systems,7,275-296,1982.
3. Tok I.,On the fuzzy measure space,E.,U.,J., Sci.,Fac.Series A,VIII,No:1,89-100,1985.
4. Tok I.,Entropy of fuzzy dynamical systems ,E.,U.,J., ,1985.
5. Tok I.,On the fuzzy sequence entropy function,Conference Acad.Sci.,Varsavo,1995.
6. Tok I., On the fuzzy conditional sequence entropy Math.54,1995.
7. Tok I., On the fuzzy sequence local entropy function,İstanbul Aydın Üniv.Fen Bil.Derg.,1,2009. Tok fonksiyonu Fatih,Eğitim.Fak.,2010.
8. Walters P.,An introduction to ergodic theory,Springer-Verlag,New York,1982.

9. Zadeh L.,A.,Fuzzy sets,Inform.Control,8,338- ,1965.
10. Zhang Q. , Conditional entropy and mild mixing extension,Can. J. Math. 45,No:2,429-448, theory and Sci.,Fac.Series A,VIII,No:1,101- D.A.D. II,Int.Math.Polish function,İstanbul Univ. Fac.Sci. J. I.,Bulanık üzerine,9.Ulusal entropi Mat.Semp.K.T.Ü.