A new approach for fuzzy gyronorms on gyrogroups and its fuzzy topologies

Yu Shen; Conghua Yan

Kybernetika (2024)

  • Issue: 1, page 19-37
  • ISSN: 0023-5954

Abstract

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In this paper, a new approach for fuzzy gyronorms on gyrogroups is presented. The relations between fuzzy metrics(in the sense of Morsi), fuzzy gyronorms, gyronorms on gyrogroups are studied. Also, some sufficient conditions, which can make a fuzzy normed gyrogroup to be a topological gyrogroup and a fuzzy topological gyrogroup, are found. Meanwhile, the relations between topological gyrogroups, fuzzy topological gyrogroups and stratified fuzzy topological gyrogroups are studied. Finally, the properties of fuzzifying topological gyrogroups are studied.

How to cite

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Shen, Yu, and Yan, Conghua. "A new approach for fuzzy gyronorms on gyrogroups and its fuzzy topologies." Kybernetika (2024): 19-37. <http://eudml.org/doc/299560>.

@article{Shen2024,
abstract = {In this paper, a new approach for fuzzy gyronorms on gyrogroups is presented. The relations between fuzzy metrics(in the sense of Morsi), fuzzy gyronorms, gyronorms on gyrogroups are studied. Also, some sufficient conditions, which can make a fuzzy normed gyrogroup to be a topological gyrogroup and a fuzzy topological gyrogroup, are found. Meanwhile, the relations between topological gyrogroups, fuzzy topological gyrogroups and stratified fuzzy topological gyrogroups are studied. Finally, the properties of fuzzifying topological gyrogroups are studied.},
author = {Shen, Yu, Yan, Conghua},
journal = {Kybernetika},
keywords = {fuzzy metric; fuzzy gyronorm; gyrogroup; topological gyrogroup; fuzzy topological gyrogroup; fuzzifying topological gyrogroup},
language = {eng},
number = {1},
pages = {19-37},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A new approach for fuzzy gyronorms on gyrogroups and its fuzzy topologies},
url = {http://eudml.org/doc/299560},
year = {2024},
}

TY - JOUR
AU - Shen, Yu
AU - Yan, Conghua
TI - A new approach for fuzzy gyronorms on gyrogroups and its fuzzy topologies
JO - Kybernetika
PY - 2024
PB - Institute of Information Theory and Automation AS CR
IS - 1
SP - 19
EP - 37
AB - In this paper, a new approach for fuzzy gyronorms on gyrogroups is presented. The relations between fuzzy metrics(in the sense of Morsi), fuzzy gyronorms, gyronorms on gyrogroups are studied. Also, some sufficient conditions, which can make a fuzzy normed gyrogroup to be a topological gyrogroup and a fuzzy topological gyrogroup, are found. Meanwhile, the relations between topological gyrogroups, fuzzy topological gyrogroups and stratified fuzzy topological gyrogroups are studied. Finally, the properties of fuzzifying topological gyrogroups are studied.
LA - eng
KW - fuzzy metric; fuzzy gyronorm; gyrogroup; topological gyrogroup; fuzzy topological gyrogroup; fuzzifying topological gyrogroup
UR - http://eudml.org/doc/299560
ER -

References

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