Parametric Generalizations of ‘Useful’ R-Norm Fuzzy Information Measures

S.M. Sofi¹ , S. Peerzada² , M.A.K. Baig³

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.164-169, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.164169

Online published on Dec 31, 2018

Copyright © S.M. Sofi, S. Peerzada, M.A.K. Baig . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we introduce a family of ‘useful’ R-norm fuzzy information measures. These measures include no parameter, one parameter and two parameters. We show that these proposed measures are valid fuzzy information measures and are the generalizations of various ‘useful’ R-norm fuzzy information measures. Further, to establish its validity we take a numerical data and obtain the results by using R-software. In addition, we study the monotonic behaviour of the proposed measures with respect to the parameters.

Key-Words / Index Term :
Fuzzy Set, Fuzzy Information Measure, ‘Useful’ Information Measure, R-Norm Fuzzy Information Measure

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