Multi-criteria group decision making based on ELECTRE I method in Pythagorean fuzzy information

  • Muhammad AkramEmail author
  • Farwa Ilyas
  • Harish Garg
Methodologies and Application


ELECTRE is a family of multi-criteria decision analysis techniques which has the ability to provide as much as possible precise and suitable set of actions or alternatives to the underlying problem by eliminating the alternatives which are outranked by others. Group decision making is an effective process to provide the most appropriate solution to real-world decision-making scenarios by considering and merging the expert opinions of multiple individuals on problem. The purpose of this research study is to extend the ELECTRE I method to Pythagorean fuzzy ELECTRE I (PF-ELECTRE I) method in group decision-making environment, as Pythagorean fuzzy set model is more superior tool to capture vagueness and incompleteness in human evaluations. The developed method has ability to solve multi-criteria group decision-making problems in which the assessment information on available alternatives, provided by the experts, is presented as Pythagorean fuzzy decision matrices having each entry characterized by Pythagorean fuzzy number (PFN). The approach is formulated by introducing the concepts of strong, midrange and weak Pythagorean fuzzy concordance and discordance sets to elaborate the outranking relation among alternatives with respect to conflicting criteria. Framework of group decision supporting system based on PF-ELECTRE I is demonstrated by a flowchart. Finally, two illustrative examples in the field of health safety and environment management are given to verify and demonstrate the applicability of our proposed approach.


Pythagorean fuzzy set Pythagorean fuzzy number ELECTRE method Outranking relation Concordance set Discordance set 


Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of the PunjabLahorePakistan
  2. 2.School of MathematicsThapar Institute of Engineering and Technology (Deemed University)PatialaIndia

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