# DIRICHLET-JORDAN THEOREM ON $SIM$ SPACE

• Kim, Hwa-Joon (Asian Institute of Technology) ;
• Lekcharoen, S. (Rangsit University) ;
• Supratid, S. (Rangsit University)
• Published : 2009.03.30

#### Abstract

We would like to propose Dirichlet-Jordan theorem on the space of summable in measure(SIM). Surely, this is a kind of extension of bounded variation([1, 4]), and considered as an application of fuzzy set such that ${\alpha}$-cut is 0.

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