On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space
Autor: | Adeeb G. Talafha, Sahar M. Alqaraleh, A. E. El-Ahmady, Jehad Al Jaraden |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: | |
Zdroj: | Advances in Fuzzy Systems, Vol 2021 (2021) |
Druh dokumentu: | article |
ISSN: | 1687-7101 1687-711X |
DOI: | 10.1155/2021/7747394 |
Popis: | In this paper, we studied the relations between new types of fuzzy retractions, fuzzy foldings, and fuzzy deformation retractions, on fuzzy fundamental groups of the fuzzy Minkowski space M˜4. These geometrical transformations are used to give a combinatorial characterization of the fundamental groups of fuzzy submanifolds on M˜4. Then, the fuzzy fundamental groups of the fuzzy geodesics and the limit fuzzy foldings of M˜4 are presented and obtained. Finally, we proved a sequence of theorems concerning the isomorphism between the fuzzy fundamental group and the fuzzy identity group. |
Databáze: | Directory of Open Access Journals |
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