The Laplacian Energy of an Intuitionistic Fuzzy Rough Graph and its Utilisation in Decision-Making
An intuitionistic fuzzy rough model is a hybrid model that combines intuitionistic fuzzy sets and rough sets, addressing soft computing and ambiguity. It uses lower and upper approximation spaces in various fields, including science, technology, database systems, computer networks, and expert system...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wrocław University of Science and Technology
2025-01-01
|
| Series: | Operations Research and Decisions |
| Online Access: | https://ord.pwr.edu.pl/assets/papers_archive/ord2025vol35no1_4.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849430181222023168 |
|---|---|
| author | Shaik Noorjahan Shaik Sharief Basha |
| author_facet | Shaik Noorjahan Shaik Sharief Basha |
| author_sort | Shaik Noorjahan |
| collection | DOAJ |
| description | An intuitionistic fuzzy rough model is a hybrid model that combines intuitionistic fuzzy sets and rough sets, addressing soft computing and ambiguity. It uses lower and upper approximation spaces in various fields, including science, technology, database systems, computer networks, and expert system architecture. The matrix of adjacency of an intuitionistic fuzzy rough graph is described in the article. The matrix of adjacency also provides the upper and lower bounds for Laplacian energy. These are used to define the Laplacian energies of intuitionistic fuzzy rough graphs and the weight function of Laplacian energy within these graphs. The intuitionistic fuzzy rough preference relation method is used to process the intuitionistic fuzzy rough weighted average. This technique is applied in data visualizations, which make data understandable by displaying it in a graphical or pictorial style. It supports decision-making and provides factual justification. This approach benefits any field that needs creative methods for presenting large volumes of complex data. Modern computer graphics have significantly influenced visualization. (original abstract) |
| format | Article |
| id | doaj-art-6fea8616fcb1479fa6ded3535d9f9d8c |
| institution | Kabale University |
| issn | 2081-8858 2391-6060 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wrocław University of Science and Technology |
| record_format | Article |
| series | Operations Research and Decisions |
| spelling | doaj-art-6fea8616fcb1479fa6ded3535d9f9d8c2025-08-20T03:28:06ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602025-01-01vol. 35no. 181107171707877The Laplacian Energy of an Intuitionistic Fuzzy Rough Graph and its Utilisation in Decision-MakingShaik Noorjahan0Shaik Sharief Basha1Vellore Institute of Technology, Vellore, Tamil Nadu, IndiaVellore Institute of Technology, Vellore, Tamil Nadu, IndiaAn intuitionistic fuzzy rough model is a hybrid model that combines intuitionistic fuzzy sets and rough sets, addressing soft computing and ambiguity. It uses lower and upper approximation spaces in various fields, including science, technology, database systems, computer networks, and expert system architecture. The matrix of adjacency of an intuitionistic fuzzy rough graph is described in the article. The matrix of adjacency also provides the upper and lower bounds for Laplacian energy. These are used to define the Laplacian energies of intuitionistic fuzzy rough graphs and the weight function of Laplacian energy within these graphs. The intuitionistic fuzzy rough preference relation method is used to process the intuitionistic fuzzy rough weighted average. This technique is applied in data visualizations, which make data understandable by displaying it in a graphical or pictorial style. It supports decision-making and provides factual justification. This approach benefits any field that needs creative methods for presenting large volumes of complex data. Modern computer graphics have significantly influenced visualization. (original abstract)https://ord.pwr.edu.pl/assets/papers_archive/ord2025vol35no1_4.pdf |
| spellingShingle | Shaik Noorjahan Shaik Sharief Basha The Laplacian Energy of an Intuitionistic Fuzzy Rough Graph and its Utilisation in Decision-Making Operations Research and Decisions |
| title | The Laplacian Energy of an Intuitionistic Fuzzy Rough Graph and its Utilisation in Decision-Making |
| title_full | The Laplacian Energy of an Intuitionistic Fuzzy Rough Graph and its Utilisation in Decision-Making |
| title_fullStr | The Laplacian Energy of an Intuitionistic Fuzzy Rough Graph and its Utilisation in Decision-Making |
| title_full_unstemmed | The Laplacian Energy of an Intuitionistic Fuzzy Rough Graph and its Utilisation in Decision-Making |
| title_short | The Laplacian Energy of an Intuitionistic Fuzzy Rough Graph and its Utilisation in Decision-Making |
| title_sort | laplacian energy of an intuitionistic fuzzy rough graph and its utilisation in decision making |
| url | https://ord.pwr.edu.pl/assets/papers_archive/ord2025vol35no1_4.pdf |
| work_keys_str_mv | AT shaiknoorjahan thelaplacianenergyofanintuitionisticfuzzyroughgraphanditsutilisationindecisionmaking AT shaikshariefbasha thelaplacianenergyofanintuitionisticfuzzyroughgraphanditsutilisationindecisionmaking AT shaiknoorjahan laplacianenergyofanintuitionisticfuzzyroughgraphanditsutilisationindecisionmaking AT shaikshariefbasha laplacianenergyofanintuitionisticfuzzyroughgraphanditsutilisationindecisionmaking |