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
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