Xiao, Zhi; Gong, Ke; Xia, Sisi; Zou, Yan Exclusive disjunctive soft sets. (English) Zbl 1189.03062 Comput. Math. Appl. 59, No. 6, 2128-2137 (2010); erratum ibid. 61, No. 7, 1906 (2011). Summary: Soft sets theory, initiated by Molodtsov, is an emerging tool to deal with uncertain problems and has been studied by scholars in both theory and practice. This paper proposes the notion of exclusive disjunctive soft sets and studies some of its operations, such as, restricted/relaxed AND operations, dependency between exclusive disjunctive soft sets and bijective soft sets, exclusive disjunctive soft decision systems, reduction of exclusive disjunctive soft decision systems, core of exclusive disjunctive soft decision systems, decision rules in exclusive disjunctive decision soft sets. Moreover, this study gives an application of exclusive disjunctive soft sets, which shows that it can be applied to attribute reduction of incomplete information system. Cited in 1 ReviewCited in 26 Documents MSC: 03E72 Theory of fuzzy sets, etc. Keywords:exclusive disjunctive soft sets; soft sets; rough sets PDFBibTeX XMLCite \textit{Z. Xiao} et al., Comput. Math. Appl. 59, No. 6, 2128--2137 (2010; Zbl 1189.03062) Full Text: DOI References: [1] Molodtsov, D., Soft set theory—First results, Comput. Math. Appl., 37, 4/5, 19-31 (1999) · Zbl 0936.03049 [2] Maji, P. K.; Biswas, R.; Roy, A. R., Soft set theory, Comput. Math. Appl., 45, 555-562 (2003) · Zbl 1032.03525 [3] Aktaş, H.; Çağman, N., Soft sets and soft groups, Inform. Sci., 177, 13, 2726-2735 (2007) · Zbl 1119.03050 [4] Chen, D.; Tsang, E. C.C.; Yeung, D. S.; Wang, X., The parameterization reduction of soft sets and its applications, Comput. Math. Appl., 49, 5-6, 757-763 (2005) · Zbl 1074.03510 [5] Z. Xiao, L. Chen, B. Zhong, S. Ye, Recognition for soft information based on the theory of soft sets. in Services Systems and Services Management, in: Proceedings of ICSSSM ’05, 2005; Z. Xiao, L. 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