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Interval Valued Neutrosophic Soft Graphs

Author : Said Broumi

Publisher : Infinite Study

Page : 34 pages

File Size : 44,25 MB

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In this article, we combine the interval valued neutrosophic soft set and graph theory. We introduce the notions of interval valued neutrosophic soft graphs, strong interval valued neutrosophic graphs, complete interval valued neutrosophic graphs, and investigate some of their related properties. We study some operations on interval valued neutrosophic soft graphs. We also give an application of interval valued neutrosophic soft graphs into a decision making problem. We hold forth an algorithm to solve decision making problems by using interval valued neutrosophic soft graphs.



An application of interval-valued neutrosophic soft graphs in a decision making problem

Author : Yildiray Celik

Publisher : Infinite Study

Page : 10 pages

File Size : 16,94 MB

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Category : Mathematics

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Book Description

In this paper, we introduce the concept of interval-valued neutrosophic soft graphs and gave some new operations such as parametric ∧−intersection and parametric ∨−union on interval-valued neutrosophic soft graphs. We have also applied the concept of interval-valued neutrosophic soft graph in a decision making problem and then gave an algorithm for the selection of optimal object.



Combination of interval-valued neutrosophic soft sets and graph theory

Author : Yildiray Celik

Publisher : Infinite Study

Page : 13 pages

File Size : 30,40 MB

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Book Description

In this paper, we combine the concepts of interval-valued neutrosophic soft set and graph theory. We introduce notations of interval-valued neutrosophic soft graph and complete interval-valued neutrosophic soft graph. We also present several different types operations including cartesian product, union and intersection on interval-valued neutrosophic soft graphs and investigate some properties of them.



Interval Valued Neutrosophic Soft Graphs

Author : Said Broumi

Publisher : Infinite Study

Page : 34 pages

File Size : 19,28 MB

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Book Description

In this article, we combine the interval valued neutrosophic soft set and graph theory. We introduce the notions of interval valued neutrosophic soft graphs, strong interval valued neutrosophic graphs, complete interval valued neutrosophic graphs, and investigate some of their related properties. We study some operations on interval valued neutrosophic soft graphs.



Interval Valued Neutrosophic Graphs

Author : Said Broumi

Publisher : Infinite Study

Page : 29 pages

File Size : 13,62 MB

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The notion of interval valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued fuzzy sets, interval valued intuitionstic fuzzy sets and single valued neutrosophic sets. We apply for the first time to graph theory the concept of interval valued neutrosophic sets, an instance of neutrosophic sets. We introduce certain types of interval valued neutrosophc graphs (IVNG) and investigate some of their properties with proofs and examples.



INTERVAL VALUED SIGNED NEUTROSOPHIC GRAPH

Author : SUDHAKAR.V.J.

Publisher : Infinite Study

Page : 9 pages

File Size : 46,94 MB

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Category : Mathematics

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Book Description

The notion of interval valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued fuzzy sets, interval valued intuitionstic fuzzy sets and single valued neutrosophicsets. We apply for the first time the concept of interval valued neutrosophic sets, an instance of neutrosophic sets, to the graph theory. We introduce certain types of interval valued signed neutrosophc graphs (IVNG) and investigate some of their properties with proof and example.



An application of interval-valued neutrosophic soft graphs in a decision making problem

Author : Yildiray Celik

Publisher : Infinite Study

Page : 10 pages

File Size : 12,68 MB

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Category : Mathematics

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Book Description

In this paper, we introduce the concept of interval-valued neutrosophic soft graphs and gave some new operations such as parametric ∧−intersection and parametric ∨−union on interval-valued neutrosophic soft graphs. We have also applied the concept of interval-valued neutrosophic soft graph in a decision making problem and then gave an algorithm for the selection of optimal object.



Concepts of Interval-Valued Neutrosophic Graphs

Author : Muhammad Akram

Publisher : Infinite Study

Page : 20 pages

File Size : 27,77 MB

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Book Description

Broumi et al. [15] proposedthe concept of interval-valued neutrosophic graphs. In this research article, we first show that there are some flaws in Broumi et al. [15] ’s definition, which cannot be applied in network models. We then modify the definition of an interval-valued neutrosophic graph. Further, we present some operations on interval-valued neutrosophic graphs. Moreover, we discuss the concepts of self-complementary and self weak complementary interval-valued neutrosophic complete graphs. Finally, we describe regularity of interval-valued neutrosophic graphs.



New Trends in Neutrosophic Theory and Applications, Volume II

Author : Florentin Smarandache

Publisher : Infinite Study

Page : 471 pages

File Size : 36,25 MB

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Book Description

Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc.



On Strong Interval Valued Neutrosophic Graphs

Author : Said Broumi

Publisher : Infinite Study

Page : 23 pages

File Size : 19,50 MB

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Book Description

In this paper, we discuss a subclass of interval valued neutrosophic graphs called strong interval valued neutrosophic graphs, which were introduced by Broumi et al. [41]. The operations of Cartesian product, composition, union and join of two strong interval valued neutrosophic graphs are defined. Some propositions involving strong interval valued neutrosophic graphs are stated and proved.