Aggregation Operators for Interval-Valued Pythagorean Fuzzy Hypersoft Set with Their Application to Solve MCDM Problem  

作　　者：Rana Muhammad Zulqarnain Imran Siddique Rifaqat Ali Fahd Jarad Aiyared Iampan 

机构地区：[1]Department of Mathematics,University of Management and Technology,Sialkot Campus,Lahore,51310,Pakistan [2]Department of Mathematics,University of Management and Technology,Lahore,54000,Pakistan [3]Department of Mathematics,College of Science and Arts,King Khalid University,Abha,61413,Saudi Arabia [4]Department of Mathematics,Cankaya University,Ankara,06790,Turkey [5]Department of Mathematics,King Abdulaziz University,Jeddah,22254,Saudi Arabia [6]Department of Medical Research,China Medical University Hospital,China Medical University,Taichung,404332,Taiwan [7]Department of Mathematics,School of Science,University of Phayao,Mae Ka,Mueang,Phayao,56000,Thailand

出　　处：《Computer Modeling in Engineering & Sciences》2023年第4期619-651,共33页工程与科学中的计算机建模（英文）

基　　金：funding this work through General Research Project under Grant No.R.G.P.327/43.

摘　　要：Experts use Pythagorean fuzzy hypersoft sets(PFHSS)in their investigations to resolve the indeterminate and imprecise information in the decision-making process.Aggregation operators(AOs)perform a leading role in perceptivity among two circulations of prospect and pull out concerns from that perception.In this paper,we extend the concept of PFHSS to interval-valued PFHSS(IVPFHSS),which is the generalized form of intervalvalued intuitionistic fuzzy soft set.The IVPFHSS competently deals with uncertain and ambagious information compared to the existing interval-valued Pythagorean fuzzy soft set.It is the most potent method for amplifying fuzzy data in the decision-making(DM)practice.Some operational laws for IVPFHSS have been proposed.Based on offered operational laws,two inventive AOs have been established:interval-valued Pythagorean fuzzy hypersoft weighted average(IVPFHSWA)and interval-valued Pythagorean fuzzy hypersoft weighted geometric(IVPFHSWG)operators with their essential properties.Multi-criteria group decision-making(MCGDM)shows an active part in contracts with the difficulties in industrial enterprise for material selection.But,the prevalent MCGDM approaches consistently carry irreconcilable consequences.Based on the anticipated AOs,a robust MCGDMtechnique is deliberate formaterial selection in industrial enterprises to accommodate this shortcoming.A real-world application of the projectedMCGDMmethod for material selection(MS)of cryogenic storing vessels is presented.The impacts show that the intended model is more effective and reliable in handling imprecise data based on IVPFHSS.

关 键 词：Interval-valued pythagorean fuzzy hypersoft set IVPFHSWA operator IVPFHSWG operator MCGDM 

分 类 号：O159[理学—数学] O225[理学—基础数学]