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Zbl 1074.03510
Chen, Degang; Tsang, E.C.C.; Yeung, Daniel S.; Wang, Xizhao
The parameterization reduction of soft sets and its applications. (English)
[J] Comput. Math. Appl. 49, No. 5-6, 757-763 (2005). ISSN 0898-1221

Summary: We focus our discussion on the parameterization reduction of soft sets and its applications. First we point out that the results of soft set reductions offered by {\it P. K. Maji, A. D. Roy} and {\it R. Biswas} [ibid. 44, 1077--1083 (2002; Zbl 1044.90042)] are incorrect. We also observe that the algorithms used to first compute the reduct-soft-set and then to compute the choice value to select the optimal objects for the decision problems [loc. cit.] are not reasonable and we illustrate this with an example. Finally, we propose a reasonable definition of parameterization reduction of soft sets and compare it with the concept of attribute reduction in rough set theory. By using this new definition of parameterization reduction, we improve the application of a soft set in a decision making problem found in [loc. cit.].

MSC 2000:: *03E72 Fuzzy sets (logic)
68T37 Reasoning under uncertainty
90B50 Multiple-criteria decision making

Keywords: Soft set; Rough set; Fuzzy set; Parameterization reduction; Choice value; Attribute reduction

Citations: Zbl 1044.90042

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