A Synergistic Multi-Attribute Decision-Making Method for Educational Institutions Evaluation Using Similarity Measures of Possibility Pythagorean Fuzzy Hypersoft Sets  

作　　者：Khuram Ali Khan Saba Mubeen Ishfaq Atiqe Ur Rahman Salwa El-Morsy 

机构地区：[1]Department of Mathematics,University of Sargodha,Sargodha,40100,Pakistan [2]Department of Mathematics,University of Management and Technology,Lahore,54000,Pakistan [3]Department of Mathematics,College of Science,Qassim University,Buraydah,51452,Saudi Arabia

出　　处：《Computer Modeling in Engineering & Sciences》2025年第1期501-530,共30页工程与科学中的计算机建模（英文）

基　　金：supported by the Deanship of Graduate Studies and Scientific Research at Qassim University(QU-APC-2024-9/1).

摘　　要：Due to the numerous variables to take into account as well as the inherent ambiguity and uncertainty,evaluating educational institutions can be difficult.The concept of a possibility Pythagorean fuzzy hypersoft set(pPyFHSS)is more flexible in this regard than other theoretical fuzzy set-like models,even though some attempts have been made in the literature to address such uncertainties.This study investigates the elementary notions of pPyFHSS including its set-theoretic operations union,intersection,complement,OR-and AND-operations.Some results related to these operations are also modified for pPyFHSS.Additionally,the similarity measures between pPyFHSSs are formulated with the assistance of numerical examples and results.Lastly,an intelligent decision-assisted mechanism is developed with the proposal of a robust algorithm based on similarity measures for solving multi-attribute decision-making(MADM)problems.A case study that helps the decision-makers assess the best educational institution is discussed to validate the suggested system.The algorithmic results are compared with the most pertinent model to evaluate the adaptability of pPyFHSS,as it generalizes the classical possibility fuzzy set-like theoretical models.Similarly,while considering significant evaluating factors,the flexibility of pPyFHSS is observed through structural comparison.

关 键 词：Hypersoft set Pythagorean fuzzy hypersoft set computational complexity multi-attribute decision-making optimization similarity measures uncertainty 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]