Fuzzy parameterized extensions of hypersoft set embedded with possibility-degree settings: an overview

Authors

  • Atiqe Ur Rahman Department of Mathematics, University of Management and Technology, Lahore, 54000, Pakistan;
  • Florentin Smarandache Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA;
  • Muhammad Saeed Department of Mathematics, University of Management and Technology, Lahore, 54000, Pakistan;
  • Khuram Ali Khan Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan;

Keywords:

Possibility degree, Fuzzy parameterization, multi-argument domain, Hypersoft Set, Attribute-valued Sets

Abstract

 The Hypersoft set marks a significant advancement in modeling vagueness and uncertainty. Con
currently, fuzzy parameterization and possibility-degree setting have been pivotal. The Hypersoft set addresses
 the complexity of a multi-argument domain through approximate mapping; fuzzy parameterization tackles the
 uncertain characteristics of parameters and their associated sub-parametric tuples; while the possibility-degree
 setting offers a dependable framework for evaluating the acceptance level of decision-makers’ views. This re
search aims to introduce several hybrid set structures by integrating the above-mentioned three ideas with fuzzy
 set extensions. The novelty of each structure is self-explanatory and justified. To grasp each structure’s true
 meaning, numerical examples have been used to explain the concept.

 

DOI: 10.5281/zenodo.15708550

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Published

2025-09-01

Issue

Vol. 87 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

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

 Creative Commons Attribution (CC BY) license.

How to Cite

Atiqe Ur Rahman, Florentin Smarandache, Muhammad Saeed, & Khuram Ali Khan. (2025). Fuzzy parameterized extensions of hypersoft set embedded with possibility-degree settings: an overview. Neutrosophic Sets and Systems, 87, 713-741. https://fs.unm.edu/nss8/index.php/111/article/view/6580

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