Fundamentals of Picture Fuzzy Hypersoft Set with Application

Authors

  • Muhammad Saeed Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
  • Muhammad Imran Harl Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Keywords:

SS, HS, PFS, PFSS, GPFSS, PFHSS, GPFHSS.

Abstract

Theory of picture fuzzy soft set and generalized picture fuzzy soft sets(GPFSS) extended to picture
fuzzy hypersoft sets (PFHSS) and generalized picture fuzzy hypersoft set (GPFHSS) respectively handle the
uncertainties and multi-attribute values in the material during evaluation. The main focus of this research work
is to initiate and learn new operations, along with properties and examples of PFHSS and GPFHSS. Several
basic operations PFHSS are defined and also prove De Morgans laws for PFHSS. Furthermore, we construct
an algorithm using GPFHSS and a new expectation score function for the positive value of the score function
that is useful for ranking different MADM problems. We conclude from this study the proposed outlook used
to manipulate the uncertainties and multi-attribute values decision-making problems.

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Published

2023-01-01

Issue

Vol. 53 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Muhammad Saeed, & Muhammad Imran Harl. (2023). Fundamentals of Picture Fuzzy Hypersoft Set with Application. Neutrosophic Sets and Systems, 53, 382-400. https://fs.unm.edu/nss8/index.php/111/article/view/3235

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