On Applications of a Generalized Hyperbolic Measure of Entropy

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P.K Bhatia 1,* Surender Singh 2 Vinod Kumar 3

1. Department of Mathematics, DCR University of Science and Technology, Murthal-131039 (Haryana), India

2. School of Mathematics, Shri Mata Vaishno Devi University, Sub post office, Katra-182320 (J & K) India

3. Department of Mathematics, Govt. Women College, Madlauda -132113 (Haryana) India

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2015.07.05

Received: 21 Oct. 2014 / Revised: 21 Jan. 2015 / Accepted: 13 Mar. 2015 / Published: 8 Jun. 2015

Index Terms

Probabilistic Entropy, Fuzzy Entropy, Super Additive Entropy, Multi Attribute Decision


After generalization of Shannon’s entropy measure by Renyi in 1961, many generalized versions of Shannon measure were proposed by different authors. Shannon measure can be obtained from these generalized measures asymptotically. A natural question arises in the parametric generalization of Shannon’s entropy measure. What is the role of the parameter(s) from application point of view? In the present communication, super additivity and fast scalability of generalized hyperbolic measure [Bhatia and Singh, 2013] of probabilistic entropy as compared to some classical measures of entropy has been shown. Application of a generalized hyperbolic measure of probabilistic entropy in certain situations has been discussed. Also, application of generalized hyperbolic measure of fuzzy entropy in multi attribute decision making have been presented where the parameter affects the preference order.

Cite This Paper

P.K Bhatia, Surender Singh, Vinod Kumar, "On Applications of a Generalized Hyperbolic Measure of Entropy", International Journal of Intelligent Systems and Applications(IJISA), vol.7, no.7, pp.36-43, 2015. DOI:10.5815/ijisa.2015.07.05


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