On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space | Zendy

Adeeb G. Talafha | Zendy; Sahar M. Alqaraleh | Zendy; A. E. El-Ahmady | Zendy; Jehad Al Jaraden | Zendy

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On Fuzzy Fundamental Groups and Fuzzy Folding of Fuzzy Minkowski Space

Author(s) -

Adeeb G. Talafha,

Sahar M. Alqaraleh,

A. E. El-Ahmady,

Jehad Al Jaraden

Publication year - 2021

Publication title -

advances in fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.38

H-Index - 19

eISSN - 1687-711X

pISSN - 1687-7101

DOI - 10.1155/2021/7747394

Subject(s) - fuzzy logic , mathematics , minkowski space , pure mathematics , isomorphism (crystallography) , algebra over a field , discrete mathematics , computer science , artificial intelligence , geometry , crystallography , chemistry , crystal structure

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.

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