Minimal Spanning Tree Algorithms W R T Bipolar Neutrosophic Graphs
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| Author | : G. Upender Reddy |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The minimal spanning tree (MST) algorithms by using the edges weights were presented mainly by Prim’s and Kruskal’s algorithms. In this article we use the weights for the bipolar neutrosophic edges by using the score functions with the new model algorithms namely bipolar neutrosophic Prim’s algorithm and bipolar neutrosophic Kruskal’s algorithm. Further, we use the score functions to get the more appropriate results based on the algorithms.
| Author | : Avishek Chakraborty |
| Publisher | : Infinite Study |
| Total Pages | : 18 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Neutrosophic set can deal with the uncertainties related to the information of any decision making problem in real life scenarios, where fuzzy set may fail to handle those uncertainties properly. In this study, we present the perception of trapezoidal bipolar neutrosophic numbers and its classification in different frame. We introduce the idea of disjunctive structures of trapezoidal bipolar neutrosophic numbers namely type-1 trapezoidal bipolar neutrosophic number, type-2 trapezoidal bipolar neutrosophic numbers, and type-3 trapezoidal bipolar neutrosophic number based on the perception of dependency among membership functions in neutrosophic set. In any neutrosophic decision-making problem, the decision maker uses the comparison of neutrosophic numbers to choose among alternatives solutions. Here, we introduce a ranking method, i.e., Debipolarization scheme for trapezoidal bipolar neutrosophic number (TrBNN) using removal area technique. We also describe the utility of trapezoidal bipolar neutrosophic number and its appliance in a multi criteria group decision making problem (MCGDM) for distinct users in trapezoidal bipolar arena which is more ethical, precise and reliable in neutrosophic field.
| Author | : Avishek Chakraborty |
| Publisher | : Infinite Study |
| Total Pages | : 27 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, we introduce the concept of neutrosophic number from different viewpoints. We define different types of linear and non-linear generalized triangular neutrosophic numbers which are very important for uncertainty theory. We introduced the de-neutrosophication concept for neutrosophic number for triangular neutrosophic numbers. This concept helps us to convert a neutrosophic number into a crisp number. The concepts are followed by two application, namely in imprecise project evaluation review technique and route selection problem.
| Author | : Florentin Smarandache |
| Publisher | : |
| Total Pages | : 110 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Said Broumi |
| Publisher | : Infinite Study |
| Total Pages | : 6 |
| Release | : |
| Genre | : |
| ISBN | : |
The aim of this article is to introduce a matrix algorithm for finding minimum spanning tree (MST) in the environment of undirected bipolar neutrosophic connected graphs (UBNCG).
| Author | : Arindam Dey |
| Publisher | : Infinite Study |
| Total Pages | : 7 |
| Release | : |
| Genre | : |
| ISBN | : |
In this paper, we discuss the minimum spanning tree (MST) problem of an undirected neutrosophic weighted connected graph in which a single-valued neutrosophic number, instead of a real number/fuzzy number, is assigned to each arc as its arc length.We define this type of MST as neutrosophic minimum spanning tree (NMST).
| Author | : Broumi Said |
| Publisher | : Infinite Study |
| Total Pages | : 106 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. IJNS is published quarterly. IJNS is devoted to the publication of peer-reviewed original research papers lying in the domain of neutrosophic sets and systems. Papers submitted for possible publication may concern with foundations, neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributing to economics, finance, management, industries, electronics, and communications are promoted.
| Author | : Avishek Chakraborty |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this research article we actually deals with the conception of pentagonal Neutrosophic number from a different frame of reference. Recently, neutrosophic set theory and its extensive properties have given different dimensions for researchers. This paper focuses on pentagonal neutrosophic numbers and its distinct properties. At the same time, we defined the disjunctive cases of this number whenever the truthiness, falsity and hesitation portion are dependent and independent to each other. Some basic properties of pentagonal neutrosophic numbers with its logical score and accuracy function is introduced in this paper with its application in real life operation research problem which is more reliable than the other methods.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : 2010-08-23 |
| Genre | : Mathematics |
| ISBN | : |
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
| Author | : M. Mullai |
| Publisher | : Infinite Study |
| Total Pages | : 9 |
| Release | : |
| Genre | : |
| ISBN | : |
Normally, Minimal Spanning Tree algorithm is used to find the shortest route in a network. Neutrosophic set theory is used when incomplete, inconsistancy and indeterminacy occurs. In this paper, Bipolar Neutrosophic Numbers are used in Minimal Spanning Tree algorithm for finding the shortest path on a network when the distances are inconsistant and indeterminate and it is illustrated by a numerical example.
