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The parameterization reduction of soft sets and its applications. (English) Zbl 1074.03510
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.].

03E72Fuzzy set theory
68T37Reasoning under uncertainty
90B50Management decision making, including multiple objectives
Full Text: DOI
[1] Maji, P. K.; Roy, A. R.; Biswas, R.: An application of soft sets in a decision making problem. Computers math. Applic. 44, No. 8/9, 1077-1083 (2002) · Zbl 1044.90042
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