Some concepts on interval-valued refined neutrosophic sets and their applications

An interval-valued refined neutrosophic set is simply an extension of interval neutrosophic set and refined neutrosophic set which can be used in statistics, game theory, engineering, and experimental science. In this study, we define the cut set and extension principle based on interval-valued refi...

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Bibliographic Details
Published in:Journal of ambient intelligence and humanized computing 2021-07, Vol.12 (7), p.7857-7872
Main Author: Uluçay, Vakkas
Format: Article
Language:English
Subjects:
Artificial Intelligence
Computational Intelligence
Engineering
Fuzzy sets
Game theory
Multiplication & division
Original Research
Principles
Robotics and Automation
Set theory
Universe
User Interfaces and Human Computer Interaction
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Summary:An interval-valued refined neutrosophic set is simply an extension of interval neutrosophic set and refined neutrosophic set which can be used in statistics, game theory, engineering, and experimental science. In this study, we define the cut set and extension principle based on interval-valued refined neutrosophic sets which is a bridge between interval-valued refined neutrosophic sets and crisp sets. Also, we examine the properties of the cut sets and extension principle of interval-valued refined neutrosophic sets. Finally, according to the extension principle of the interval-valued refined neutrosophic sets, we introduce some algebraic operations over the interval-valued refined neutrosophic sets.
ISSN:1868-5137
1868-5145
DOI:10.1007/s12652-020-02512-y