Abstract
In this paper, the concept of \(\sigma \)-algebraic soft set which can be used in decision-making process is introduced and some of its structural properties are studied. In order to compare the parameters in soft set theory, we give several characterizations using measurement on the initial universe. Then its applications are given.
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Aktaş H, Çağman N (2007) Soft sets and soft groups. Inf Sci 177:2726–2735
Ali MI, Feng F, Liu XY, Min WK, Shabir M (2009) On some new operations in soft set theory. Comput Math Appl 57:1547–1553
Babitha KV, Sunil JJ (2010) Soft set relations and functions. Comput Math Appl 60:1840–1849
Chen D, Tsang ECC, Yeung DS, Wong X (2005) The parametrization reduction of soft sets and its applications. Comput Math Appl 49:757–763
Emelyanov E (2007) Introduction to measure theory and Lebesgue integration. Middle East Technical University Press, Ankara
Feng F, Jun YB, Zhao X (2008) Soft semirings. Comput Math Appl 56:2621–2628
Halmos PR (1950) Measure theory. D. Van Nostrand Company Inc., New York, p 314
Kharal A, Ahmad B (2009) Mappings on soft classes. New Math Nat Comput 7(3):471–481
Li Z, Chen H, Gao N (2013) The topological structure on soft sets. J Comput Anal Appl 15(4):746–752
Maji PK, Biswas R, Roy AR (2003) Soft set theory. Comput Math Appl 45:555–562
Min WK (2012) Similarity in soft set theory. Appl Math Lett 25:310–314
Min WK (2014) Soft sets over a common topological universe. J Intell Fuzzy Syst 26:2099–2106
Molodtsov D (1999) Soft set theory-First results. Comput Math Appl 37:19–31
Pei D, Miao D (2005) From soft sets to information systems. In: Proceedings of IEEE international conference on granular computing 2:617–621
Shabir M, Naz M (2011) On soft topological spaces. Comput Math Appl 61(7):1786–1799
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
Zhu P, Wen Q (2010) Probabilistic soft sets. In: 2010 IEEE international conference on granular computing, pp 635–638
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Kandemir, M.B. The concept of \(\sigma \)-algebraic soft set. Soft Comput 22, 4353–4360 (2018). https://doi.org/10.1007/s00500-017-2901-3
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DOI: https://doi.org/10.1007/s00500-017-2901-3