Affiliations: [a] Department of Mathematics, Hazara University, Mansehra, KPK, Pakistan
| [b] Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan
| [c] Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, KPK, Pakistan
Correspondence:
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Corresponding author. Muhammad Sajjad Ali Khan, Department of Mathematics, Hazara University, Mansehra, KPK, Pakistan. E-mail: sajjad_maths@hu.edu.pk.
Abstract: Pythagorean Hesitant fuzzy set (PHFS) which permits the membership degree and non-membership degree of an element to a set represented by several possible values is deliberated as a powerful tool to express uncertain information in the process of multi-attribute decision making (MADM) problems. In this paper, we propose a novel approach based on TOPSIS method and the maximizing deviation method for solving MADM problems where the evaluation information provided by the decision makers (DMs) is expressed in form of Pythagorean hesitant fuzzy numbers and the information about attribute weights is incomplete. To determine the attribute weight we develop an optimization model based on maximizing deviation method. Finally we provide a practical decision-making problem to demonstrate the implementation process of the proposed method.
