R-Norm Information Measure with Applications in Multi Criteria Decision Making Technique under Intuitionistic Fuzzy Set Environment

Authors

Rukaya Jamil, Department of Statistics, University of Kashmir, IndiaFollow
Safina Peerzada, Department of Statistics, University of Kashmir, IndiaFollow
Saima Manzoor, Department of Statistics, University of Kashmir, IndiaFollow
M. A. K. Baig, Department of Statistics, University of Kashmir, IndiaFollow

Author Country (or Countries)

India

Abstract

The main aim of this research article is to define a new information measure for quantifying fuzziness in the intuitionistic fuzzy set environment. For this purpose, we present R-norm intuitionistic fuzzy measure that quantifies the amount of vagueness or fuzziness of a particular fuzzy set. We prove that this measure is a valid measure of intuitionistic fuzzy entropy by making it satisfy essential properties. Also, some mathematical properties are used to check the validation of the measure. In the end, a practical example of decision-making is illustrated in terms of Multi Criteria Decision Making problem that presents the application of the proposed measure.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120335

Recommended Citation

Jamil, Rukaya; Peerzada, Safina; Manzoor, Saima; and A. K. Baig, M. (2023) "R-Norm Information Measure with Applications in Multi Criteria Decision Making Technique under Intuitionistic Fuzzy Set Environment," Journal of Statistics Applications & Probability: Vol. 12: Iss. 3, Article 35.
DOI: http://dx.doi.org/10.18576/jsap/120335
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss3/35