Solving Pythagorean Fuzzy Assignment Problems in Management: A Framework Based on Spherical Distance Measures

Authors

  • Amal Adak Department of Mathematics, Ganesh Dutt College, Begusarai, India Author https://orcid.org/0000-0002-3644-782X
  • Dragan Pamucar 1) Department of Applied Mathematical Science, College of Science and Technology, Korea University, Sejong 30019, Republic of Korea; 2) Sustainability Competence Centre, Széchenyi István University, Győr, Hungary; 3) Transport and Logistics Competence Centre, Vilnius Gediminas Technical University, Vilnius, Lithuania Author https://orcid.org/0009-0001-9876-0328
  • Wajid Ali Department of Mathematics, Air University, Islamabad, Pakistan Author https://orcid.org/0000-0002-4926-722X

DOI:

https://doi.org/10.31181/msa31202636

Keywords:

Pythagorean Fuzzy Set, Spherical Distance Measure, Exponential Score Function, Assignment Problem

Abstract

In practical scenarios, uncertainty often arises from measurement limitations or incomplete information, making it impossible to obtain exact values for key variables. Additionally, decision-makers may struggle to articulate precise judgments under constraints such as time or limited knowledge. To better capture this ambiguity, fuzzy-based frameworks allow individuals to express their assessments in more flexible terms. Among these, the Pythagorean fuzzy set offers a broader descriptive range than intuitionistic fuzzy sets for representing degrees of membership and non-membership. This paper introduces two approaches based on positive and negative ideal solutions to solve assignment problems under Pythagorean fuzzy conditions by applying a spherical distance measure and a new scoring method. The effectiveness of the proposed technique is illustrated through numerical examples.

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References

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Published

2025-12-29

How to Cite

Adak, A., Pamucar, D., & Ali, W. (2025). Solving Pythagorean Fuzzy Assignment Problems in Management: A Framework Based on Spherical Distance Measures. Management Science Advances, 3(1), 84-95. https://doi.org/10.31181/msa31202636