A note on entropy subsethood relationship

Volume: 1 Number: 3 September 23, 2013
EN

A note on entropy subsethood relationship

Abstract

We comment on subsethood measure defined by Kosko and Young and give some new aspects of these measures. Finally we would like to discard the entropy subsethood relationship established by the authirs. We present some properties of subsethood measure from set theoretic approach and also from axiomatic approach with the expectation that these would help in removing the shortcomings that currently exist in these definitions.

Keywords

References

  1. Zadeh L A, Fuzzy Sets, Inform. and Control, 1965,8: 338-353.
  2. B. Kosko, Fuzziness Vs Probability, Int.J.General Systems,17(1990),211-240
  3. V.R.Young, Fuzzy Subsethood, Fuzzy Sets and Systems, 77(1996),371-384.
  4. D. Sinha and E.R. Doughtery, Fuzzification of set inclusion: theory and applications, Fuzzy Sets and Systems, 55(1993), 15-42
  5. De Luca A, Termini S, A definition of non probabilistic entropy in the settings of fuzzy set theory, Information and Control, 1972, 20:301-312.
  6. Yager R.R, A procedure for ordering fuzzy subsets of the unit interval, Information Science, 24(1981), 143-161.
  7. Baruah H K, Towards Forming a Field of Fuzzy Sets, International Journal of Energy Information and Communications, 2011, 2(1): 16 – 20.
  8. Baruah H K, Theory of Fuzzy sets Beliefs and Realities, International Journal of Energy, Information and Communications, 2011, 2(2): 1-22.

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

September 23, 2013

Submission Date

May 14, 2013

Acceptance Date

-

Published in Issue

Year 2013 Volume: 1 Number: 3

APA
Dhar, M. (2013). A note on entropy subsethood relationship. International Journal of Intelligent Systems and Applications in Engineering, 1(3), 44-46. https://izlik.org/JA25ES37SF
AMA
1.Dhar M. A note on entropy subsethood relationship. International Journal of Intelligent Systems and Applications in Engineering. 2013;1(3):44-46. https://izlik.org/JA25ES37SF
Chicago
Dhar, Mamoni. 2013. “A Note on Entropy Subsethood Relationship”. International Journal of Intelligent Systems and Applications in Engineering 1 (3): 44-46. https://izlik.org/JA25ES37SF.
EndNote
Dhar M (September 1, 2013) A note on entropy subsethood relationship. International Journal of Intelligent Systems and Applications in Engineering 1 3 44–46.
IEEE
[1]M. Dhar, “A note on entropy subsethood relationship”, International Journal of Intelligent Systems and Applications in Engineering, vol. 1, no. 3, pp. 44–46, Sept. 2013, [Online]. Available: https://izlik.org/JA25ES37SF
ISNAD
Dhar, Mamoni. “A Note on Entropy Subsethood Relationship”. International Journal of Intelligent Systems and Applications in Engineering 1/3 (September 1, 2013): 44-46. https://izlik.org/JA25ES37SF.
JAMA
1.Dhar M. A note on entropy subsethood relationship. International Journal of Intelligent Systems and Applications in Engineering. 2013;1:44–46.
MLA
Dhar, Mamoni. “A Note on Entropy Subsethood Relationship”. International Journal of Intelligent Systems and Applications in Engineering, vol. 1, no. 3, Sept. 2013, pp. 44-46, https://izlik.org/JA25ES37SF.
Vancouver
1.Mamoni Dhar. A note on entropy subsethood relationship. International Journal of Intelligent Systems and Applications in Engineering [Internet]. 2013 Sep. 1;1(3):44-6. Available from: https://izlik.org/JA25ES37SF