Al-Qadisiyah University
Journal of Al-Qadisiyah for Computer Science and Mathematics
2074-0204
1
1
2009
06
28
The Completion of -measure
1
9
36522
EN
Noori
F. AL-Mayahi
Mohammed
J. M. AL-Mousawi
Journal Article
2009
06
01
The 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 [7] 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 [6] discussed the field Ea as in [7] 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.
https://csm.iraqjournals.com/article_36522_d99f60f223d7ee1340bcdc8631909b2e.pdf