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Maximal product of two L-graph automata and some applications | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 19، شماره 3، مرداد و شهریور 2022، صفحه 107-126 اصل مقاله (2.08 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6946 | ||
| نویسندگان | ||
| E. Raisi Sarbizhan؛ M. M. Zahedi* | ||
| Department of Mathematics, Kerman Graduate University of Advanced Technology, Kerman, Iran | ||
| چکیده | ||
| The current study aimed to describe the notion of the L-graph, which is constructed on a residuated lattice, presenting the idea of the maximal product of two L-graphs. Moreover, the applied algorithm demonstrated its efficiency to a great extent to improve the educational system. The results showed that the maximal product of both G and H and reversely, H and G are isomorphic L-graphs. The maximal product of two L-graph automata was represented as a new notion, followed by investigating their self-sufficiency conditions in two different modes. In addition, A(Z(G))\star~A(Z(H)) and A(Z(H))\star~A(Z(G)) were proved as two isomorphic-related L-graph automata considering the residuated lattice properties. Then, correlations among A(Z(G))\star A(Z(H)), A(Z(G)), and A(Z(H)) behaviors were explained. As a result, some theorems of the relationship between L-graph automata and their maximal product were introduced. Subsequently, some related theorems were proved, and several examples were provided to illustrate these new notions. Further, an application of the maximal product of two related L-graph automata was expressed in the factors affecting the spared of the coronavirus, and accordingly, some solutions were suggested to reduce the spread of the virus. | ||
| کلیدواژه‌ها | ||
| Residuated lattice؛ L-graph؛ maximal product of two L-graphs؛ maximal product of two L-graph automata | ||
| مراجع | ||
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