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Year 2016, Volume: 13 Issue: 1, - , 01.05.2016

Abstract

References

  • [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.

Entropy of Intuitionistic Fuzzy-dynamical Systems on MV-algebras

Year 2016, Volume: 13 Issue: 1, - , 01.05.2016

Abstract

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.

References

  • [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.
There are 18 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Batool Mosapour This is me

Publication Date May 1, 2016
Published in Issue Year 2016 Volume: 13 Issue: 1

Cite

APA Mosapour, B. (2016). Entropy of Intuitionistic Fuzzy-dynamical Systems on MV-algebras. Cankaya University Journal of Science and Engineering, 13(1).
AMA Mosapour B. Entropy of Intuitionistic Fuzzy-dynamical Systems on MV-algebras. CUJSE. May 2016;13(1).
Chicago Mosapour, Batool. “Entropy of Intuitionistic Fuzzy-Dynamical Systems on MV-Algebras”. Cankaya University Journal of Science and Engineering 13, no. 1 (May 2016).
EndNote Mosapour B (May 1, 2016) Entropy of Intuitionistic Fuzzy-dynamical Systems on MV-algebras. Cankaya University Journal of Science and Engineering 13 1
IEEE B. Mosapour, “Entropy of Intuitionistic Fuzzy-dynamical Systems on MV-algebras”, CUJSE, vol. 13, no. 1, 2016.
ISNAD Mosapour, Batool. “Entropy of Intuitionistic Fuzzy-Dynamical Systems on MV-Algebras”. Cankaya University Journal of Science and Engineering 13/1 (May 2016).
JAMA Mosapour B. Entropy of Intuitionistic Fuzzy-dynamical Systems on MV-algebras. CUJSE. 2016;13.
MLA Mosapour, Batool. “Entropy of Intuitionistic Fuzzy-Dynamical Systems on MV-Algebras”. Cankaya University Journal of Science and Engineering, vol. 13, no. 1, 2016.
Vancouver Mosapour B. Entropy of Intuitionistic Fuzzy-dynamical Systems on MV-algebras. CUJSE. 2016;13(1).