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Applied Mathematics

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Prairie View A&M University

2012

Cartesian product of fuzzy metric spaces

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Full-Text Articles in Physical Sciences and Mathematics

Distal Fuzzy Dynamical Systems, Y. Sayyari, M. R. Molaei Jun 2012

Distal Fuzzy Dynamical Systems, Y. Sayyari, M. R. Molaei

Applications and Applied Mathematics: An International Journal (AAM)

In this paper the t-distal notion is extended for fuzzy dynamical systems on fuzzy metric spaces. A method for constructing fuzzy metric spaces is studied. The product of t-distal fuzzy dynamical systems is considered. It is proved that: a product of fuzzy dynamical systems is t- distal if and only if its components are t-distal. The persistence of the t-distal property up to a fuzzy factor map is proved.