On central soft sets: Definitions and basic operations¹

Article type: Research Article

Authors: Guan, Xuechong^{; *}

Affiliations: College of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, The People’s Republic of China

Correspondence: [*] Corresponding author. Xuechong Guan, College of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, The People’s Republic of China. E-mail: guanxc@foxmail.com.

Note: [1] This work is supported by National Science Foundation of China (Grant No.11671008).

Abstract: The concept of a central soft set related with some common decision making problems in real life is introduced in this paper. Some basic operations on central soft sets and theirs properties such as distributive law and associative law are given. The study also shows that some classic operations between soft sets can be obtained by central soft sets with selecting different central sets. In the part of application, the concepts of an evaluation system for a parameter set and desired objects of a central soft set are initiated. An algorithm is presented to solve such decision making problems.

Keywords: Central soft set, soft set, intersection, union, evaluation system

DOI: 10.3233/JIFS-162011

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 819-827, 2017