Probability measure monad on the category of fuzzy ultrametric spaces
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Date
2011
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Abstract
It is proved that the probability measure functor comprises a monad on the category of fuzzy ultrametric spaces and nonexpanding maps. It is also proved that the G-symmetric power functor admits an extension on the Kleisli category of this monad (i.e. the category of fuzzy ultrametric spaces and nonexpanding measure-valued maps).
Description
Savchenko, A. Probability measure monad on the category of fuzzy ultrametric spaces / A. Savchenko, M. Zarichnyi // Azerbaijan Journal of Mathematics. – 2011. – V. 1, № 1. – P. 114 -121.
Keywords
Fuzzy ultrametric, Probability measure, Monad, Extension of functors