초록 열기/닫기 버튼

We introduce different concepts of soft sets, including soft $\sigma$-ring, soft algebra, and soft $\sigma$-algebra. We present different types of set functions, including soft finitely sub-additive, soft countably sub-additive, soft finitely additive, soft countably additive and soft monotone. We study the concept of soft outer measure and soft Lebesgue outer measure. We also describe interesting applications of soft mappings to decision-making.