The parameterization reduction of soft sets and its applications.

*(English)*Zbl 1074.03510Summary: 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 P. K. Maji, A. D. Roy and 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:

03E72 | Theory of fuzzy sets, etc. |

68T37 | Reasoning under uncertainty in the context of artificial intelligence |

90B50 | Management decision making, including multiple objectives |

##### Keywords:

Soft set; Rough set; Fuzzy set; Parameterization reduction; Choice value; Attribute reduction
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\textit{D. Chen} et al., Comput. Math. Appl. 49, No. 5--6, 757--763 (2005; Zbl 1074.03510)

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##### References:

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