A Comprehensive Discussion on Fuzzy Hypersoft Expert, Superhypersoft, and IndetermSoft Graphs
Graph theory, a branch of mathematics, studies relationships among entities through vertices and edges. To capture the inherent uncertainties in real-world networks, Uncertain Graph Theory has evolved within this field. Soft Expert Graphs combine conventional graph theory with expert assessments, us...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-03-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/ComprehensiveDiscussion12.pdf |
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| Summary: | Graph theory, a branch of mathematics, studies relationships among entities through vertices and edges. To capture the inherent uncertainties in real-world networks, Uncertain Graph Theory has evolved within this field. Soft Expert Graphs combine conventional graph theory with expert assessments, using fuzzy sets for vertices and edges, while allowing expert opinions to shape the uncertainties and relationships within the graph. Hypersoft Graphs extend this concept further by incorporating multi-attribute nodes that represent multiple distinct attribute values, enabling the modeling of more complex, multi-dimensional relationships. In this paper, we define the Hypersoft Expert Graph and explore its connections to other classes of graphs. We also consider the SuperHypersoft Graph, TreeSoft Graph, and IndetermSoft Graph. |
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| ISSN: | 2331-6055 2331-608X |