Operations on Soft Sets Revisited | Zendy

Ping Zhu | Zendy; Qiaoyan Wen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Operations on Soft Sets Revisited

Author(s) -

Ping Zhu,

Qiaoyan Wen

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/105752

Subject(s) - intersection (aeronautics) , soft set , complement (music) , set operations , algebraic operation , set (abstract data type) , algebraic properties , algebraic number , computer science , mathematics , algebra over a field , discrete mathematics , artificial intelligence , pure mathematics , mathematical analysis , biochemistry , chemistry , programming language , aerospace engineering , complementation , engineering , gene , phenotype , fuzzy logic

The concept of soft sets introduced by Molodtsov is a general mathematical tool for dealing with uncertainty. Just as the conventional set-theoretic operations of intersection, union, complement, and difference, some corresponding operations on soft sets have been proposed. Unfortunately, such operations cannot keep all classical set-theoretic laws true for soft sets. In this paper, we redefine the intersection, complement, and difference of soft sets and investigate the algebraic properties of these operations along with a known union operation. We find that the new operation system on soft sets inherits all basic properties of operations on classical sets, which justifies our definitions

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research