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https://doi.org/10.1007/978-3-...
Part of book or chapter of book . 2018 . Peer-reviewed
License: Springer TDM
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Article . 2019
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Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type , Article 04 Nov 2018Publisher:Springer International Publishing
Authors: Smarandache, Florentin; Ali, Mumtaz; Khan, Mohsin;

doi: 10.1007/978-3-030-00045-5_2

Arithmetic Operations of Neutrosophic Sets, Interval Neutrosophic Sets and Rough Neutrosophic Sets

Abstract

In approximation theory, neutrosophic set and logic show an important role. They are generalizations of intuitionistic fuzzy set and logic respectively. Based on neutrosophy, which is a new branch of philosophy, every idea X, has an opposite denoted as anti (X) and their neutral which is denoted as neut (X). These are the main features of neutrosophic set and logic. This chapter is based on the basic concepts of neutrosophic set as well as some of their hybrid structures. In this chapter, we define and study the notion of neutrosophic set and their basic properties. Moreover, interval-valued neutrosophic set are studied with some of their properties. Finally, we define rough neutrosophic sets.

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Keywords

Similarity Measures in Neutrosophic Sets, Data Envelopment Analysis, Correlation Coefficients of Neutrosophic Sets, Neutrosophic Set Theory, 511, Rough Neutrosophic Sets, Cross-entropy, Single and Multi-valued Neutrosophic Sets, Neutrosophic Valued Linguistic Soft Sets, Bipolar Neutrosophic Graphs, Power Aggregation Operators, Multicriteria Decision Making

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Average
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