Neutrosophic soft graphs with application

Akram, Muhammad; Shahzadi, Sundas

doi:10.3233/jifs-16090

Cited by 72 publications

(36 citation statements)

References 29 publications

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“…Mordeson and Peng [10] presented operations on fuzzy graphs. Akram et al [11][12][13][14] considered several new concepts of neutrosophic graphs with applications. Zafer and Akram [15] dealt with rough fuzzy digraphs with applications.…”

Section: Introductionmentioning

confidence: 99%

Notions of Rough Neutrosophic Digraphs

et al. 2018

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Graph theory has numerous applications in various disciplines, including computer networks, neural networks, expert systems, cluster analysis, and image capturing. Rough neutrosophic set (NS) theory is a hybrid tool for handling uncertain information that exists in real life. In this research paper, we apply the concept of rough NS theory to graphs and present a new kind of graph structure, rough neutrosophic digraphs. We present certain operations, including lexicographic products, strong products, rejection and tensor products on rough neutrosophic digraphs. We investigate some of their properties. We also present an application of a rough neutrosophic digraph in decision-making.

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Section: Introductionmentioning

confidence: 99%

Notions of Rough Neutrosophic Digraphs

et al. 2018

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“…Since the neutrosophic set theory established, many scholars have flung themselves into its development [3][4][5][6][7][8][9][10]. Rivieccio [11] proposed neutrosophic logics by introducing neutrosophic idea to logic.…”

Section: Introductionmentioning

confidence: 99%

On single valued neutrosophic refined rough set model and its application

Bao

Yang

2017

IFS

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Neutrosophic set (NS) theory was originally established by Smarandache for handling indeterminate and inconsistent information. In this paper, we introduce single valued neutrosophic refined rough sets by combining single valued neutrosophic refined sets with rough sets and further study the hybrid model from two perspectives-constructive viewpoint and axiomatic viewpoint. We also give single valued neutrosophic refined rough sets on two universes and an available algorithm for handling multi-attribute decision making problem based on single valued neutrosophic refined rough sets on two universes. In addition, we illustrate the validity of the single valued neutrosophic refined rough set model by an example.

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“…We have used standard definitions and terminologies, in this paper. For more details and background, the readers are referred to [34][35][36][37][38][39][40]. O are the sets of eigenvalues of A(T Y (u j u k )), A(I Y (u j u k )) and A(F Y (u j u k )), respectively.…”

Section: Introductionmentioning

confidence: 99%

Certain Notions of Energy in Single-Valued Neutrosophic Graphs

Naz

Akram

Smarandache

2018

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A single-valued neutrosophic set is an instance of a neutrosophic set, which provides us an additional possibility to represent uncertainty, imprecise, incomplete and inconsistent information existing in real situations. In this research study, we present concepts of energy, Laplacian energy and signless Laplacian energy in single-valued neutrosophic graphs (SVNGs), describe some of their properties and develop relationship among them. We also consider practical examples to illustrate the applicability of the our proposed concepts.

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Neutrosophic soft graphs with application

Cited by 72 publications

References 29 publications

Notions of Rough Neutrosophic Digraphs

Notions of Rough Neutrosophic Digraphs

On single valued neutrosophic refined rough set model and its application

Certain Notions of Energy in Single-Valued Neutrosophic Graphs

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