A method for inference in approximate reasoning based on interval-valued fuzzy sets
Fuzzy Sets and Systems
On fuzzy subnear-rings and ideals
Fuzzy Sets and Systems
Algebraic Structures of Rough Sets
RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery
Computers & Mathematics with Applications
On some new operations in soft set theory
Computers & Mathematics with Applications
Toward a generalized theory of uncertainty (GTU)--an outline
Information Sciences: an International Journal
Soft matrix theory and its decision making
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Information Sciences: an International Journal
Soft groups and normalistic soft groups
Computers & Mathematics with Applications
A note on generalized soft equal relations
Computers & Mathematics with Applications
A new view to ring theory via soft union rings, ideals and bi-ideals
Knowledge-Based Systems
Applications of soft union sets to hemirings via SU-h-ideals
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, we introduce and study soft subrings and soft ideals of a ring by using Molodtsov's definition of the soft sets. Moreover, we introduce soft subfields of a field and soft submodule of a left R-module. Some related properties about soft substructures of rings, fields and modules are investigated and illustrated by many examples.