Results on t-Fuzzy Graphs
| Autor: | Rajab Ali Borzooei, B. Sheikh Hoseini, M. Mohseni Takallo |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Discrete mathematics
0209 industrial biotechnology Normal cycle Applied Mathematics 02 engineering and technology Graph Computer Science Applications Human-Computer Interaction Computational Mathematics 020901 industrial engineering & automation Computational Theory and Mathematics 0202 electrical engineering electronic engineering information engineering Fuzzy graph 020201 artificial intelligence & image processing Logical matrix Adjacency matrix Mathematics |
| Zdroj: | New Mathematics and Natural Computation. 16:143-161 |
| ISSN: | 1793-7027 1793-0057 |
| DOI: | 10.1142/s179300572050009x |
| Popis: | It is much more practical to use the [Formula: see text]-norm than the minimum in defining the fuzzy graph. Hence, the concept of [Formula: see text]-fuzzy graph was introduced by Mordeson et al. in [J. N. Mordeson and S. Mathew, [Formula: see text]-norm Fuzzy Graphs, New Mathematics and Natural Computation 14(1) (2018) 129–143]. In this paper, we concentrate on the relatively new concept of fuzzy adjacency matrix of that [Formula: see text]-fuzzy graphs. The purpose of this paper is to further develop a product of this fuzzy adjacency matrix based on [Formula: see text]-fuzzy graphs. Moreover, two kinds of Boolean matrix are defined and relation between Normal Boolean matrix, product of adjacency matrix and 1-level cut Boolean matrix is obtained. |
| Databáze: | OpenAIRE |
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