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Journal ArticleDOI

Neutrosophic soft graphs with application

Muhammad Akram, +1 more
- 01 Jan 2017 - 
- Vol. 32, Iss: 1, pp 841-858
TLDR
This research article presents a novel frame work for handling neutrosophic soft information by combining the theory of neutrosophile soft sets with graphs, and discusses various methods of their construction and investigates some of their related properties.
Abstract
In this research article, we present a novel frame work for handling neutrosophic soft information by combining the theory of neutrosophic soft sets with graphs. We introduce the different types of notions, including neutrosophic soft graphs, strong neutrosophic soft graphs, complete neutrosophic soft graphs, and illustrate these notions by several examples. We then discuss various methods of their construction and investigate some of their related properties. We also present an application of neutrosophic soft graph to decision making.

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Citations
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Journal ArticleDOI

A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017

TL;DR: An overview on neutrosophic set is presented with the aim of offering a clear perspective on the different concepts, tools and trends related to their extensions and indicates that some developing economics (such as China, India, Turkey) are quite active in neutrosophile set research.
Posted Content

An Interval Neutrosophic Linguistic Multi-Criteria Group Decision-Making Method and Its Application in Selecting Medical Treatment Options

TL;DR: A medical treatment selection method based on prioritized harmonic mean operators in an interval neutrosophic linguistic environment, in which criteria and decision-makers are assigned different levels of priority, is developed.
Posted Content

Symbolic Neutrosophic Theory

Florentin Smarandache
- 01 Oct 2015 - 
TL;DR: In this paper, the authors introduce the notion of neutrosophic quadruple numbers, which are a quasi-classical system that deals with quasi-terms/concepts/attributes, i.e. they are partially true/membership/probable (t%), partially indeterminate (i%), and partially false/nonmembership /improbable (f%).
Posted Content

Operations on Single-Valued Neutrosophic Graphs

Muhammad Akram, +1 more
- 01 Jun 2017 - 
TL;DR: The notion of single-valued neutrosophic graphs is introduced, and some fundamental operations on single- valuation graphs are presented, to explore some interesting properties of single priced graphs by level graphs.
Journal ArticleDOI

Novel decision-making method based on bipolar neutrosophic information

TL;DR: This research article applies the concept of bipolar single-valued neutrosophic sets to graph structures and presents a novel framework for handling bipolar neutrosphic information by combining bipolar neutrophic sets with graph structures.
References
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Book

Fuzzy sets

TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI

Intuitionistic fuzzy sets

TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Journal ArticleDOI

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TL;DR: The main purpose of this paper is to introduce the basic notions of the theory of soft sets, to present the first results of the the theory, and to discuss some problems of the future.
Journal ArticleDOI

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TL;DR: An extended version of Szpilrajn's theorem is proved and various properties of similarity relations and fuzzy orderings are investigated and, as an illustration, a fuzzy preordering is investigated which is reflexive and antisymmetric.

Intuitionistic Fuzzy Sets

TL;DR: In this article, a definition of the concept "intuitionistic fuzzy set" (IFS) is given, the latter being a generalization of the Fuzzy Set and an example is described.