On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space
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 grou...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2021-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2021/7747394 |
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doaj-eca139231dfd4cea9450a614a13da8212021-08-23T01:32:57ZengHindawi LimitedAdvances in Fuzzy Systems1687-711X2021-01-01202110.1155/2021/7747394On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski SpaceAdeeb G. Talafha0Sahar M. Alqaraleh1A. E. El-Ahmady2Jehad Al Jaraden3Department of MathematicsDepartment of MathematicsMathematics DepartmentDepartment of MathematicsIn 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.http://dx.doi.org/10.1155/2021/7747394 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Adeeb G. Talafha Sahar M. Alqaraleh A. E. El-Ahmady Jehad Al Jaraden |
| spellingShingle |
Adeeb G. Talafha Sahar M. Alqaraleh A. E. El-Ahmady Jehad Al Jaraden On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space Advances in Fuzzy Systems |
| author_facet |
Adeeb G. Talafha Sahar M. Alqaraleh A. E. El-Ahmady Jehad Al Jaraden |
| author_sort |
Adeeb G. Talafha |
| title |
On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space |
| title_short |
On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space |
| title_full |
On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space |
| title_fullStr |
On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space |
| title_full_unstemmed |
On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space |
| title_sort |
on fuzzy fundamental groups and fuzzy folding of fuzzy minkowski space |
| publisher |
Hindawi Limited |
| series |
Advances in Fuzzy Systems |
| issn |
1687-711X |
| publishDate |
2021-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2021/7747394 |
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