The normal parameter reduction of soft sets and its algorithm

Authors:
Zhi Kong;Liqun Gao;Lifu Wang;Steven Li
Affiliations:
School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, PR China;School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, PR China;School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, PR China;Division of Business, University of South Australia, GPO Box 2471, Adelaide, SA 5001, Australia
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

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.