Affiliations: Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, Himachal Pradesh, India
Correspondence:
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Corresponding author. Rakesh Kumar Bajaj, Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, PIN 173234, Himachal Pradesh, India. E-mail: [email protected].
Abstract: In the present communication, a new (R, S)-norm discriminant measure of Pythagorean fuzzy sets has been proposed along with its various properties. Monotonic behavior with respect to the parameters R & S and their proof of validity have also been studied. Methodologies and necessary steps of the algorithms for various decision-making problems viz. pattern recognition problem, medical diagnosis problem and multi criteria decision-making problem have been outlined on the basis of the proposed information measure. For the sake of illustration, numerical example for each case has been provided. A comparative analysis for the considered applications has also been studied in contrast with the popular existing methodologies stating important observations and advantages.
Keywords: Pythagorean fuzzy set, discriminant measure, monotonicity, pattern recognition, medical diagnosis, multiple criteria decision making
