Riaz, Muhammad; Naeem, Khalid; Ahmad, M. Ozair Novel concepts of soft sets with applications. (English) Zbl 1368.54006 Ann. Fuzzy Math. Inform. 13, No. 2, 239-251 (2017). Summary: 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 subadditive, 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. Cited in 2 Documents MSC: 54A05 Topological spaces and generalizations (closure spaces, etc.) 54A40 Fuzzy topology 11B05 Density, gaps, topology 54D30 Compactness 06D72 Fuzzy lattices (soft algebras) and related topics Keywords:soft sets; soft mappings; soft ring of sets; soft \(\sigma\)-algebras; soft measure PDFBibTeX XMLCite \textit{M. Riaz} et al., Ann. Fuzzy Math. Inform. 13, No. 2, 239--251 (2017; Zbl 1368.54006) Full Text: Link