On induced soft sets and topology for the parameter set of a soft set

被引：3

作者：

Liu, Zhicai ^{[1
]}

Qin, Keyun ^{[1
]}

Pei, Zheng ^{[2
]}

Liu, Jin ^{[2
]}

机构：

[1] Southwest Jiaotong Univ, Coll Math, Chengdu 610031, Sichuan, Peoples R China

[2] Xihua Univ, Ctr Radio Adm & Technol Dev, Chengdu 610039, Sichuan, Peoples R China

来源：

CIT/IUCC/DASC/PICOM 2015 IEEE INTERNATIONAL CONFERENCE ON COMPUTER AND INFORMATION TECHNOLOGY - UBIQUITOUS COMPUTING AND COMMUNICATIONS - DEPENDABLE, AUTONOMIC AND SECURE COMPUTING - PERVASIVE INTELLIGENCE AND COMPUTING | 2015年

关键词：

Soft sets; Point-set mapping; Soft quotient algebra; Topology;

D O I：

10.1109/CIT/IUCC/DASC/PICOM.2015.200

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Soft sets can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we introduce the concept of induced soft set based on point-set mapping, some operations on induced soft sets are discussed, and the algebraic structures of induced soft sets, e.g., the lattice structure and the soft quotient algebra, are established. Based on a soft set and its induced soft set, we construct a reflexive and transitive relation on the parameter set E of the soft set, moreover, establish a topology for the parameter set of the soft set. The conclusions may be used in such as environmental science and social science.

引用

页码：1350 / 1354

页数：5

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