1. Neutrosophic Vague Set Theory.
- Author
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Alkhazaleh, Shawkat
- Subjects
- *
NEUTROSOPHIC logic , *AXIOMATIC set theory , *FUZZY logic , *MATHEMATICAL logic , *SET theory - Abstract
In 1993, Gau and Buehrer proposed the theory of vague sets as an extension of fuzzy set theory. Vague sets are regarded as a special case of context-dependent fuzzy sets. In 1995, Smarandache talked for the first time about neutrosophy, and he defined the neutrosophic set theory as a new mathematical tool for handling problems involving imprecise, indeterminacy, and inconsistent data. In this paper, we define the concept of a neutrosophic vague set as a combination of neutrosophic set and vague set. We also define and study the operations and properties of neutrosophic vague set and give some examples. [ABSTRACT FROM AUTHOR]
- Published
- 2015