Entropy of Intuitionistic Fuzzy-dynamical Systems on MV-algebras

Yıl 2016, Cilt: 13 Sayı: 1, - , 01.05.2016

Batool Mosapour

Öz

In this paper, intuitionistic fuzzy-dynamical systems (IF-dynamical systems) on an MV-algebra
are introduced. Also the entropy of IF-dynamical systems is introduced and studied. Several related results
are proved.

Anahtar Kelimeler

MV-algebra, entropy

Kaynakça

• [1] K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Physica Verlag, New York, (1999).
• [2] K. Atanassov, Intuitionistic Fuzzy Sets, VII ITKR’s Session, Sofia, (1983).
• [3] M. Durica, Entropy on IF-events, NIFS. 13, (2007), 30-40.
• [4] M. Ebrahimi, B. Mosapour, The concept of entropy on D-posets, Cankaya University Journal of Science and Engineering, 10, (2013), 137-151.
• [5] M. Ebrahimi, U. Mohammadi, R. Ghasemkhani, On the entropy of dynamical systems on σ-MV-algebras with state, Journal of Applied Environmental and Biological Sciences, 5, (2015), 229-234
• [6] P. A. Ejegwa, A. J. Akubo, O. M. Joshua, Intuitionistic fuzzy set and its application in career determination via normalized euclidean distance method, European Scientific Journal, 10, (2014), 529-536.
• [7] P. A. Ejegwa, S. O. Akowe, P. M. Otene, J. M. Ikyule, An overview on intuitionistic fuzzy sets, International Journal of Scientific and Technology Research, 3, (2014), 142-145.
• [8] K. Lendelova, IF-probability on MV-algebras, In Notes on Intuitionistic Fuzzy Sets, 11, (2005), 66-72
• [9] K. Lendelova, J. Petrovicova, Representation of IF-probability on MV-algebras, Soft Computing. 10, (2006), 564- 566.
• [10] D. Mundici, Interpretation of AFC∗ -algebras in Lukasiewicz sentential calculus, Journal of Functional Analysis, 65, (1986), 15-63
• [11] D. Markechova, The entropy of complete fuzzy partitions, Math. Slovaca, 43, (1993), 1-10
• [12] T. Neubrunn, B. Riecan, Measure and Integral, Veda, Bratislava in Slovak (1981).
• [13] J. Petrovicova, On the entropy of dynamical systems in product MV-algebras, Fuzzy Sets and Systems, 121, (2001), 347-351.
• [14] J. Petrovicova, On the entropy of partitions in product MV algebras, Soft Computing, 4, (2000), 41-44.
• [15] M. Rencova, A generalization of probability theory on MV-algebra to IF-events, Fuzzy Sets and Systems, 161, (2010), 1726-1739.
• [16] B. Riecan, Kolmogorov-Sinaj entropy on MV-algebras, Int. J. Theor. Phys , 44, (2005), 1041-1052.
• [17] P. Walters, An Introduction to Ergodic Theory, Springer Verlag, (1982).
• [18] L. A. Zadeh, Fuzzy sets, Inform and Control, 8, (1965), 338-353.