The Aggregation operator In The Soft Fuzzy Set and Its Use I n Electricity

In this paper redefine the ƒs-sets and their operations, and then define fuzzy soft aggregation operator which allows constructing more efficient decision pro- cesses. Considering the application of soft fuzzy set in basic sciences, engineering and medicine we came to examine a type of application of this set in one of the technical and engineering disciplines. We examined this set and designed the soft internal multiplication in this application space with the help of space L2 and definition, and the need for an operator in this design made us define the cumulative operator on the soft fuzzy set and examine its properties. We turned it into matrix operations so that we could get results for more complex calculations than software R. Software R is a programming language and software environment for statistical calculations and data science. Itcontains a wide range of statistical techniques of linear modeling. And non-linear and graphic capabilities. To start the design, we had to define electric waves and their types and wave characteristics, and we did the design and calculations both manually and with the help of software and mentioned it. We finally give an example Electrical wave form which shows that the method can be successfully applied to many problems containing uncertainties. In soft fuzzy sets, the operator Cumulative is the best choice according to the desired criteria In the following articles, we will work on the use of this operator and how to select it in medical sciences .