2012/05/13 by Ping Zhu, Zhu, Ping, Qiaoyan Wen +1
Computer Science · Decision Sciences · #Advanced Algebra and Logic #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Fuzzy and Soft Set Theory #cs.AI
paper · pdf · doi:10.48550/arxiv.1205.2857
8 pages
arxiv created 2012/05/13 · openalex publication_date 2012/05/13 · arxiv updated 2015/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Soft sets, as a mathematical tool for dealing with uncertainty, have recently gained considerable attention, including some successful applications in information processing, decision, demand analysis, and forecasting. To construct new soft sets from given soft sets, some 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.