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Qin, Keyun; Hong, Zhiyong

On soft equality. (English) Zbl 1188.08001

J. Comput. Appl. Math. 234, No. 5, 1347-1355 (2010).
Summary: 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 soft quotient algebras are established.

Cited in 46 Documents

MSC:

08A72 Fuzzy algebraic structures

Keywords:

soft sets; union; intersection; complement; soft equality; soft quotient algebra
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\textit{K. Qin} and \textit{Z. Hong}, J. Comput. Appl. Math. 234, No. 5, 1347--1355 (2010; Zbl 1188.08001)
Full Text: DOI

References:

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