A Generalization Concept of Measure by Using Binary Operations

In this paper, a generalization of the concept of measure is made using binary operations.With this generalization, we extend the measure domain to . For this purpose, we define function , which simultaneously satisfies the following two conditions: Such that in second condition are binary operations.In the future, the properties of this new concept will be examined.In this paper, there are correlations between algebraic concepts (such as binary operation) and analysis (such as measure). Of course, in this article we pay more attention to algebraic concepts, in other words, the properties of binary operation created by this new definition are more highly evaluated.