International Journal of Modern Science and Technology

INDEXED IN 

ISSN 2456-0235

​​​​​International Journal of Modern Science and Technology, Vol. 2, No. 2, 2017, Pages 41-49.

​ 

​Historical Development on Soft Set Theory

R. Karpagam, V. S. Selvi
​Department of Mathematics, Theivanai Ammal College for Women (Autonomous)Villupuram, 605 602, Tamil Nadu, India
*Corresponding author’s e-mail: karpagam12dgl@gmail.com

​Abstract
Molodtsov originated the idea of soft sets, some research on soft sets has been done in the literature. The concept of soft set is fundamentally important in almost every scientific field. Soft set theory is a new mathematical tool for dealing with uncertainties and is a set associated with parameters and has been applied in several directions. In particular, the work demonstrates that soft set theory can be applied to problems that contain uncertainties especially in decision making problems. These applications explain the voluminous work in this field within a short period of time. We emphasize that soft set has enough developed basic supporting structures through which various algebraic structures in theoretical point of view could be developed. We define the notion of soft sets, and the study that are interesting and valuable in the theory of soft sets, which emphasis on a series of applications especially in decision making problems. In this paper, studying the concept of soft set theory, types of soft set development and review its existing literature.

​​Keywords: BCI-algebra; BCK-Algebra; FCM - Fuzzy cognitive map; Fuzzy Set; Fuzzy Soft Set; Soft Rough Set; Soft Semi Rings; Soft Set; Uncertainty.

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