The Completion of -measure
Journal of Al-Qadisiyah for Computer Science and Mathematics,
2009, Volume 1, Issue 1, Pages 1-9
AbstractThe theory of measure is an important subject in mathematics; in Ash [4,5] discusses many details about measure and proves some important results in measure theory.
In 1986, Dimiev  defined the operation addition and multiplication by real numbers on a set , he defined the operation multiplication on the set E and prove that E is a vector space over R and for any a>1 Ea is field, also he defined the fuzzifying functions on arbitrary set X.
In 1989, Dimiev  discussed the field Ea as in  and defined the operations addition, multiplication and multiplication by real number on a set of all fuzzifying functions defined on arbitrary set X, and also defined -measure on a measurable space and proved some results about it.
we mention the definition of the field , and the fuzzifying functions on the arbitrary set X also we mention the definition of the operations.
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