On soft equality

  • Authors:

  • Keyun Qin;Zhiyong Hong

  • Affiliations:

  • Department of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, 610031, China;Department of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, 610031, China and School of Informatics, Wuyi University, Jiangmen, Guangdong, 529020, China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2010

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Abstract

Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we deal with the algebraic structure of soft sets. The lattice structures of soft sets are constructed. The concept of soft equality is introduced and some related properties are derived. It is proved that soft equality is a congruence relation with respect to some operations and the soft quotient algebra is established.