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An Unorthodox Parametric Measure of Information and Corresponding Measure of Intutionistic Fuzzy Information
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An Unorthodox Parametric Measure of Information and Corresponding Measure of Intutionistic Fuzzy Information

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Abstract:

A new parametric function va(p)= log (1+a) - Σlog((1+api)/pi)-1,a>o is proposed for the probability distribution p1p2p3… … … pn and its properties are studied. In this paper the given functions is twice differentiable and is used to obtain the related measure of directed divergence, measure of intutionistic fuzzy entropy, measure of intutionistic fuzzy directed divergence. We also investigate the monotonic character of the proposed function.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 3)
Pages:
24-27
DOI:
https://doi.org/10.18052/www.scipress.com/BMSA.3.24
Citation:
P. Jha and V. K. Mishra, "An Unorthodox Parametric Measure of Information and Corresponding Measure of Intutionistic Fuzzy Information", Bulletin of Mathematical Sciences and Applications, Vol. 3, pp. 24-27, 2013
Online since:
February 2013
Authors:
P. Jha, Vikas Kumar Mishra
Keywords:
Directed Divergence, Information Theory, Intutionistic Fuzzy Directed Divergence, Intutionistic Fuzzy Entropy, Measure of Entropy
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Distribution:
Open Access

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Creative Commons Attribution 4.0 International License

References:

Atanassov K. intuitionistic fuzzy sets, VII ITKR's Session, Sofia, June 1983, Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci., 1697/84).

J.P. Burg, The relationship between maximum entropy spectra and maxi-mum likelihood spectra, In: Modern Spectra Analysis (Ed. D.G. Childers), MSA (1972), 130-131.

J.N. Kapur, Four families of measures of entropy, Int. Jour. Pure and App. Maths., 17, No. 4, (1986), 429-449.

J.N. Kapur, Burg and Shannon's measure of entropy as limiting case of a family of measures of entropy, Proc. Nat. Acad. Sciences, 61A, Part III (1991), 371-387.

J.N. Kapur, Measures of Fuzzy Information, Mathematical Sciences, Trust Society (1996).

J.N. Kapur, Measures of Information and Their Application, Wiley Eastern, New Delhi (1997).

S. Kullback, R.A. Liebler, On Information and Sufficiency, Ann. Math. Stat., 22 (1951), 77-89.

C.E. Shannon, A mathematical theory of communication, Bell System Tech. J., 27 (1948), 379- 423, 623-659.

C.M. Thomas, J.A. Thomas, Elements of Information Theory, Second Edition, John Wiles and Sons (2006).

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