On Some Properties of Entropy of Fuzzy Numbers
Автор: Mamoni Dhar
Журнал: International Journal of Intelligent Systems and Applications(IJISA) @ijisa
Статья в выпуске: 3 vol.5, 2013 года.
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Here at first we are going to give a brief history of the development of fuzzy entropy. Finally, new measures for entropy of fuzzy sets in continuous cases are introduced. In this article, our main purpose is to show that the entropy of fuzzy number is very much dependent on the selection of intervals. Another important thing which can be observed from the cases discussed is that the entropy of triangular fuzzy numbers is the same for the same choice of interval length and for non triangular fuzzy number this property does not hold.
Normal Fuzzy Number, Fuzzy Distance, Left Reference Function, Right Reference Function, Glivenko- Cantelli’s Theorem
Короткий адрес: https://sciup.org/15010390
IDR: 15010390
Список литературы On Some Properties of Entropy of Fuzzy Numbers
- Shannon C.E, A Mathematical theory of communication, Bell System Tech. journal, 21(1948), 379-420, 623-656.
- Zadeh L A, Inform and Control, 1965,8: 338-353
- Zadeh L.A: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and System, 1, (1978) 3-28, 1978.
- 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.
- Kaufmann A, Introduction to the theory of Fuzzy Subsets, Academic Press, New York(1975)
- Yager R.R, A procedure for ordering fuzzy subsets of the unit interval, Information Science, 24(1981), 143-161.
- Baruah H K, Fuzzy Membership with respect to a Reference Function, Journal of the Assam Science Society, 1999, 40(.3):65-73.
- Baruah H K, Towards Forming a Field of Fuzzy Sets, International Journal of Energy Information and Communications, 2011, 2(1): 16 – 20.
- Baruah H K, Theory of Fuzzy sets Beliefs and Realities, International Journal of Energy, Information and Communications, 2011, 2(2): 1-22.
- Dhar M, On Hwang and Yang’s definition of Entropy of Fuzzy sets, International Journal of Latest Trend Computing, 2011, 2(4): 496-497.
- Dhar M, On Separation Index of Fuzzy Sets, International Journal of Mathematical Archives, 2012, .3(3): 932-934.
- Dhar M, On Geometrical Representation of Fuzzy Numbers, International Journal of Energy Information and Communications, 2012, 3(2): 29-34.
- Dhar M, On Fuzzy Measures of Symmetry Breaking of Conditions, Similarity and Comparisons: Non Statistical Information for the Single Patient., Accepted for publication in International Journal of Mathematical Archives, 2012.
- Dhar M, A Note on Subsethood measure of fuzzy sets, accepted for publication in International Journal of Energy, Information and Communications, 2012.
- Dhar M, A Note on existing Definition of Fuzzy Entropy, International Journal of Energy Information and Communications, 2012, 3( 1): 17-21.
- H. K. Baruah, the Randomness-Fuzzuness Consistency Principles, IJEIC, Vol. 1, Issue 1, 37-48, 2010
- Dhar M, Probability- Possibility Transformation: A Brief revisit, Accepted for publication in AFMI journal, Korea, 2012.
- Dhar M, A Note on Variable transformations, accepted for publication in AFMI journal, Korea, 2012.
- Dhar M, Probability- Possibility Transformations: An Overview, Accepted for publication in IJMA journal, India, 2012.
