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Novel concepts of soft sets with applications
Muhammad Riaz,Khalid Naeem,M. Ozair. Ahmad 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.13 No.2
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.