Abstract
We introduce the concept of vague additive groups (VAG) by linking the vague set and group theory. Also we define the concept of vague normal additive group (VNAG) and vague ring (VR). The properties of VAG are investigated.
Highlights
The concept of fuzzy set was introduced by Zadeh
Since this idea has been applied to other algebraic structures such as groups, rings etc
The concept of vague set [3] introduced by Gau in 1993
Summary
The concept of fuzzy set was introduced by Zadeh. Since this idea has been applied to other algebraic structures such as groups, rings etc. With the development of fuzzy set, it is widely used in many fields ; the deficiency of fuzzy sets is attract attention. Such as fuzzy set is single function, it cannot express the evidence of supporting and opposing. Based on this reason, the concept of vague set [3] introduced by Gau in 1993. The object of this paper is to make a study of vague additive groups and its properties
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