Efficiency modeling of sinusoidal pythagorean fuzzy data envelopment analysis

Mohammad Aqil  Sahil; Ashutosh Tiwari; Q.M Danish  Lohani

doi:10.5269/bspm.79030

Mohammad Aqil Sahil
Ashutosh Tiwari Bennett University
Q.M Danish Lohani South Asian University

Abstract

A fuzzy data envelopment analysis (DEA) involves solving an optimization linear programming problem to assess the relative efficiency of a group of homogeneous decision-making units with multiple imprecise inputs and outputs. This paper introduces two efficiency models utilizing the sinusoidal Pythagorean fuzzy DEA methodology. A sinusoidal Pythagorean fuzzy number is proposed to mimic hospital datasets' vague and fluctuating characteristics. The paper presents the following two efficiency models: (i) A Sinusoidal Pythagorean fuzzy CCR model. (ii) A Sinusoidal Pythagorean fuzzy BCC model. The expected value and centroid method for Pythagorean fuzzy sets are employed to solve these models. The performance efficiency of these models is evaluated using data collected from twelve hospitals in India.

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