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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 4    
Website: http://www.ijser.org
scirp IJSER >> Volume 3,Issue 4,April 2012
Some New Trigonometric, Hyperbolic and Exponential Measures of Fuzzy Entropy and Fuzzy Directed Divergence
Full Text(PDF, )  PP.55-59  
Author(s)
Jha P., MishraVikas Kumar
KEYWORDS
Fuzzy Entropy, Fuzzy Directed Divergence, Measures of Fuzzy Information.
ABSTRACT
Uncertainty and fuzziness are the basic nature of human thinking and of many real world objectives. Fuzziness is found in our decision, in our language and in the way we process information. The main use of information is to remove uncertainty and fuzziness. In fact, we measure information supplied by the amount of probabilistic uncertainty removed in an experiment and the measure of uncertainty removed is also called as a measure of information while measure of fuzziness is the measure of vagueness and ambiguity of uncertainties. Shannon [2] used "entropy" to measure uncertain degree of the randomness in a probability distribution.
References
[1] A. De Luca and S. Termini, A Definition of a Non-probabilistic Entropy in the Setting of fuzzy sets theory, Information and Control, 20, 301-312, 1972.

[2] C.E.Shannon (1948). “A Mathematical Theory of Communication”. Bell. System Tech. Journal Vol. 27, pp. 379- 423,623-659.

[3] D. Bhandari and N. R. Pal, Some new information measures for fuzzy sets, Information Science, 67, 204 - 228, 1993.

[4] F.M.Reza (1948&1949). “An introduction to information theory”. Mc. Graw-Hill, New-York.

[5] J.N.Kapur. Some New Measures of Directed Divergence. Willey Eastern Limited.

[6] J.N.Kapur.Trigonometrical Hyperbolic and Exponential Measure of Fuzzy Entropy and Fuzzy Directed Divergence. MSTS

[7] S. Kullback and R.A. Leibler, On Information and Sufficiency, Annals of Mathematical Statistics, 22,79 - 86, 1951.

[8] L. A. Zadeh, Fuzzy Sets, Information and Control, 8, 338 - 353, 1965

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