4.7 Article

The normal parameter reduction of soft sets and its algorithm

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 56, Issue 12, Pages 3029-3037

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2008.07.013

Keywords

Soft set; Fuzzy soft set; Normal parameter reduction; Decision partition; Parameter important degree

Funding

  1. National Research Foundation
  2. Doctoral Program of Higher Education of China [20020145007,]
  3. National Science Foundation of PR China [60274099]

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This paper is Concerned with the reduction of soft sets and fuzzy soft sets. Firstly, the problems Of suboptimal Choice and added parameter set of soft sets are analyzed. Then, we introduce the definition of normal parameter reduction in soft sets to overcome these problems. In addition, a heuristic algorithm of normal parameter reduction is presented. Two new definitions, parameter important degree and decision partition, are proposed for analyzing the algorithm of normal parameter reduction. Furthermore, the normal parameter reduction is also investigated in fuzzy soft sets. (c) 2008 Elsevier Ltd. All rights reserved.

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