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The Completion of -measure | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 1, Issue 1, 2009, Pages 1-9 PDF (0 K) | ||
| Authors | ||
| Noori F. AL-Mayahi; Mohammed J. M. AL-Mousawi | ||
| Abstract | ||
| 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. | ||
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