GraphSoft Set and Neutrosophic Context-Based Assessment of Instructional Quality under Uncertainty in University Badminton Classes
Keywords:
GraphSoft Set; Soft Set; Teaching Quality Evaluation; Neutrosophic Statistics; Badminton Classes; Uncertain Data.Abstract
This study proposes the GraphSoft Set, an innovative extension of Soft Set
theory, to evaluate teaching quality in university public badminton classes. By integrating
graph theory, the GraphSoft Set captures interdependencies among attributes such as
instructor expertise and student engagement, while employing neutrosophic statistics to
address uncertain feedback. We define the GraphSoft Set alongside Soft Set, HyperSoft
Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set, comparing their
performance through a unified example and detailed tables. Two case studies
demonstrate the GraphSoft Set's practical application, with rigorous calculations showing
enhanced precision over existing methods. This framework advances Soft Set
applications, offering a reliable approach for educational quality assessment.
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Copyright (c) 2025 Neutrosophic Sets and Systems
This work is licensed under a Creative Commons Attribution 4.0 International License.
