Soft ? -Field and Soft P- Measure

Abstract

The soft set is a new method to deal with uncertainty, It was define by Molodstov (1999). In this
paper, we define soft ?-field, We present different types of set functions, including soft sub-additive,
soft countably sub-additive, soft counitely additive, soft countably additive and soft monotone. The
measurability of soft mappings would also be the part of discussion. The definition of P-soft measure
in connection with its applications to soft ? –field will also be briefly discussed, an application of soft
sets would also be represented