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On Generalised Interval-Valued Fuzzy Soft Sets

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  • Xiaoqiang Zhou
  • Qingguo Li
  • Lankun Guo

Abstract

Soft set theory, initiated by Molodtsov, can be used as a new mathematical tool for dealing with imprecise, vague, and uncertain problems. In this paper, the concepts of two types of generalised interval-valued fuzzy soft set are proposed and their basic properties are studied. The lattice structures of generalised interval-valued fuzzy soft set are also discussed. Furthermore, an application of the new approach in decision making based on generalised interval-valued fuzzy soft set is developed.

Suggested Citation

  • Xiaoqiang Zhou & Qingguo Li & Lankun Guo, 2012. "On Generalised Interval-Valued Fuzzy Soft Sets," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, February.
    • Handle: RePEc:hin:jnljam:479783
    DOI: 10.1155/2012/479783
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