Тип публикации: статья из журнала

Год издания: 1995

Ключевые слова: Fuzzy group, topological group

Аннотация: A continuous fuzzy group is a fuzzy group with continuous membership function on a topological group. We show that if a nontrivial continuous fuzzy group exists then the underlying topological group must be totally disconnected. It is also shown that all locally compact totally disconnected groups are carriers for nontrivial fuzzy Показать полностьюgroups. More detailed results are obtained for compact groups.

Журнал: Fuzzy Sets and Systems

Выпуск журнала: Т. 76, № 2

Номера страниц: 253-257

ISSN журнала: 01650114

Издатель: Elsevier Science Publishing Company, Inc.

• Ovchinnikov S. (S. Ovchinnikov, Mathematics Department, San Francisco State University, San Francisco, CA 94132, USA)

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