Title of paper:
|
Measurable entropy of intuitionistic fuzzy dynamical system
|
Author(s):
|
Adrian Ban
|
Department of Mathematics, University of Oradea, str. Armatei Romane 5, 3700 Oradea, Romania
|
aiban@math.uoradea.ro (current: aiban@uoradea.ro)
|
|
Presented at:
|
Fourth International Conference on IFSs, Sofia, 16-17 September 2000
|
Published in:
|
"Notes on Intuitionistic Fuzzy Sets", Volume 6 (2000) Number 4, pages 35—47
|
Download:
|
PDF (468 Kb, File info)
|
Abstract:
|
We introduce the concept of intuitionistic fuzzy dynamical system by using the definition of intuitionistic fuzzy measure given in a recent paper. Also, we define the measurable entropy of intuitionistic fuzzy dynamical systems.
|
Keywords:
|
Intuitionistic fuzzy set, intuitionistic fuzzy measure, intuitionistic fuzzy partition, intuitionistic fuzzy dynamical system, entropy.
|
References:
|
- Atanassov, K.T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-96.
- Atanassov, K.T., New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(1994), 137-142.
- Ban, A.I., Entropy of fuzzy T-dynamical systems, The Journal of Fuzzy Mathematics, 6(1998), 351-362.
- Ban, A.I., Convex intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 3(1997), 66-76.
- Ban, A.I., Fuzzy variants of the Poincaré recurrence theorem, The Journal of Fuzzy Mathematics, 7(1999), 513-519.
- Ban, A.L, The convergence of a sequence of intuitionistic fuzzy sets and intuitionistic (fuzzy) measure, Notes on Intuitionistic Fuzzy Sets, 4(1998), 41-47.
- Ban, A.L, Ergodicity of MV-dynamical systems, submitted.
- Burillo, P., Bustince, H., Two operators on interval-valued intuitionistic fuzzy sets: Part II, Comptes rendus de l’Académie bulgare de Sciences, Tome 48, No. 1, 1995, 17-20.
- Butnariu, D., Additive fuzzy measure and integrals, J. Math. Anal. Appl., 93(1983), 436-452.
- Dumitrescu, D., Fuzzy measures and the entropy of fuzzy partitions, J. Math. Anal. Appl., 176(1993), 359-373.
- Dumitrescu, D., Entropy of fuzzy dynamical systems, Fuzzy Sets and Systems, 70(1995), 45-57.
- Mesiar, R., Rybarik, J., Entropy of fuzzy partition: A general model, Fuzzy Sets and Systems, 99(1998), 73-79.
- Riečan, B., On the entropy and generators of dynamical systems, Applications of Mathematics, 41{1996), 161-168.
- Riečan, B., Markechová, D., The entropy of fuzzy dynamical systems, general scheme and generators, Fuzzy Sets and Systems, 96(1998), 191-199.
- Riečan, B., Petrovičová, J., Kolgomorov-Sinai theorem for fuzzy T-dynamical systems, submitted.
- Walters, P., Ergodic Theory-Introductory Lectures, Springer Verlag, 1975.
|
Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|