Combination of interval-valued fuzzy set and soft set

  • Authors:

  • Xibei Yang;Tsau Young Lin;Jingyu Yang;Yan Li;Dongjun Yu

  • Affiliations:

  • School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094, PR China and Department of Computer Science, San Jose State University, San Jose, ...;Department of Computer Science, San Jose State University, San Jose, CA 95192, USA;School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094, PR China;School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094, PR China;School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, Jiangsu, 210094, PR China and Department of Computer Science, University of York, York YO10 5DD, U ...

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2009

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Abstract

The soft set theory, proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. By combining the interval-valued fuzzy set and soft set models, the purpose of this paper is to introduce the concept of the interval-valued fuzzy soft set. The complement, ''AND'' and ''OR'' operations are defined on the interval-valued fuzzy soft sets. The DeMorgan's, associative and distribution laws of the interval-valued fuzzy soft sets are then proved. Finally, a decision problem is analyzed by the interval-valued fuzzy soft set. Some numerical examples are employed to substantiate the conceptual arguments.