Neutrosophic Shortest Path Problem (NSPP) in a Directed Multigraph

Neutrosophic Shortest Path Problem (NSPP) in a Directed Multigraph
Author: Siddhartha Sankar Biswas
Publisher: Infinite Study
Total Pages: 12
Release:
Genre: Mathematics
ISBN:

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One of the important non-linear data structures in Computer Science is graph. Most of the real life network, be it a road transportation network, or airlines network or a communication network etc., cannot be exactly transformed into a graph model, but into a Multigraphs model. The Multigraph is a topological generalization of the graph where multiple links (or edges/arcs) mayexist between two nodes unlike in graph.

Neutrosophic Shortest Path Problem

Neutrosophic Shortest Path Problem
Author: Ranjan Kumar
Publisher: Infinite Study
Total Pages: 11
Release:
Genre: Mathematics
ISBN:

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Neutrosophic set theory provides a new tool to handle the uncertainties in shortest path problem (SPP). This paper introduces the SPP from a source node to a destination node on a neutrosophic graph in which a positive neutrosophic number is assigned to each edge as its edge cost. We define this problem as neutrosophic shortest path problem (NSSPP). A simple algorithm is also introduced to solve the NSSPP. The proposed algorithm finds the neutrosophic shortest path (NSSP) and its corresponding neutrosophic shortest path length (NSSPL) between source node and destination node.

Neutrosophic Sets and Systems, Book Series, Vol. 29, 2019

Neutrosophic Sets and Systems, Book Series, Vol. 29, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 262
Release:
Genre: Mathematics
ISBN:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Neutrosophic Sets and Systems, Vol. 29, 2019

Neutrosophic Sets and Systems, Vol. 29, 2019
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 264
Release:
Genre: Mathematics
ISBN:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Shortest Path Problem Under Interval Valued Neutrosophic Setting

Shortest Path Problem Under Interval Valued Neutrosophic Setting
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 7
Release:
Genre: Mathematics
ISBN:

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This paper presents a study of neutrosophic shortest path with interval valued neutrosophic number on a network. A proposed algorithm also gives the shortest path length using ranking function from source node to destination node. Here each arc length is assigned to interval valued neutrosophic number. Finally, a numerical example has been provided for illustrating the proposed approach.

Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020

Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 410
Release: 2020-10-01
Genre: Mathematics
ISBN:

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Neutrosophic Sets and Systems (NSS) is an academic journal, published quarterly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.

Soft Subring Theory Under Interval-valued Neutrosophic Environment

Soft Subring Theory Under Interval-valued Neutrosophic Environment
Author: Sudipta Gayen
Publisher: Infinite Study
Total Pages: 27
Release: 2020-10-01
Genre: Mathematics
ISBN:

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The primary goal of this article is to establish and investigate the idea of interval-valued neutrosophic soft subring. Again, we have introduced function under interval-valued neutrosophic soft environment and investigated some of its homomorphic attributes. Additionally, we have established product of two intervalvalued neutrosophic soft subrings and analyzed some of its fundamental attributes. Furthermore, we have presented the notion of interval-valued neutrosophic normal soft subring and investigated some of its algebraic properties and homomorphic attributes.

Neutrosophic Sets and Systems, Vol. 36, 2020

Neutrosophic Sets and Systems, Vol. 36, 2020
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 410
Release:
Genre: Mathematics
ISBN:

Download Neutrosophic Sets and Systems, Vol. 36, 2020 Book in PDF, Epub and Kindle

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.

Neutrosophic Sets and Systems, Vol. 39, 2021

Neutrosophic Sets and Systems, Vol. 39, 2021
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 173
Release:
Genre: Mathematics
ISBN:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Shortest Path Problem under Trapezoidal Neutrosophic Information

Shortest Path Problem under Trapezoidal Neutrosophic Information
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 7
Release:
Genre:
ISBN:

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In this research paper, a new approach is proposed for computing the shortest path length from source node to destination node in a neutrosophic environment. The edges of the network are assigned by trapezoidal fuzzy neutrosophic numbers. A numerical example is provided to show the performance of the proposed approach.