Application of Generalized Measure of 'Useful' R-norm Inaccuracy and Total Ambiguity

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Saima Manzoor 1,* Safina Peerzada 1 Mirza A. K. Baig 1

1. Department of Statistics, University of Kashmir, Srinagar, India

* Corresponding author.


Received: 25 Mar. 2019 / Revised: 27 Jun. 2019 / Accepted: 12 Aug. 2019 / Published: 8 Feb. 2021

Index Terms

Fuzzy sets, inaccuracy measures, R-norm information measures, ‘useful’ information measures, total ambiguity measures, multi-criteria decision making


In the present paper, we introduce generalized measure of 'useful' R-norm inaccuracy having two parameters and its analogue 'useful' R-norm total ambiguity measure by merging together the concepts of probability, fuzziness, R-norm, 'useful' information and inaccuracy. Along with the basic properties, some other important properties of these two proposed measures are stated. These measures are generalizations of some well-known inaccuracy measures. Further, the monotonic behaviour of the proposed 'useful' R-norm inaccuracy measures is studied and the graphical overview is given. The measure of information improvement for both the measures is also obtained. Lastly, the application of 'useful' R-norm total ambiguity measure is presented in terms of multi-criteria decision making. For all the numerical calculations R software is used.

Cite This Paper

Saima Manzoor, Safina Peerzada, Mirza A. K. Baig, "Application of Generalized Measure of 'Useful' R-norm Inaccuracy and Total Ambiguity", International Journal of Intelligent Systems and Applications(IJISA), Vol.13, No.1, pp.17-33, 2021. DOI:10.5815/ijisa.2021.01.02


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