Minimal Spanning Tree Algorithms w. r. t. Bipolar Neutrosophic Graphs

Minimal Spanning Tree Algorithms w. r. t. Bipolar Neutrosophic Graphs PDF

Author: G. Upender Reddy

Publisher: Infinite Study

Published:

Total Pages: 15

ISBN-13:

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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.

A new algorithm for finding minimum spanning trees with undirected neutrosophic graphs

A new algorithm for finding minimum spanning trees with undirected neutrosophic graphs PDF

Author: Arindam Dey

Publisher: Infinite Study

Published:

Total Pages: 7

ISBN-13:

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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).

Bipolar Neutrosophic Minimum Spanning Tree

Bipolar Neutrosophic Minimum Spanning Tree PDF

Author: Said Broumi

Publisher: Infinite Study

Published:

Total Pages: 6

ISBN-13:

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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).

SHORTEST PATH PROBLEM BY MINIMAL SPANNING TREE ALGORITHM USING BIPOLAR NEUTROSOPHIC NUMBERS

SHORTEST PATH PROBLEM BY MINIMAL SPANNING TREE ALGORITHM USING BIPOLAR NEUTROSOPHIC NUMBERS PDF

Author: M. Mullai

Publisher: Infinite Study

Published:

Total Pages: 9

ISBN-13:

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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.

Spanning Tree Problem with Neutrosophic Edge Weights

Spanning Tree Problem with Neutrosophic Edge Weights PDF

Author: Said Broumi

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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Neutrosophic set and neutrosophic logic theory are renowned theories to deal with complex, not clearly explained and uncertain real life problems, in which classical fuzzy sets/models may fail to model properly. This paper introduces an algorithm for finding minimum spanning tree (MST) of an undirected neutrosophic weighted connected graph (abbr. UNWCG) where the arc/edge lengths are represented by a single valued neutrosophic numbers.

Classification of trapezoidal bipolar neutrosophic number, de‑bipolarization technique and its execution in cloud service‑based MCGDM problem

Classification of trapezoidal bipolar neutrosophic number, de‑bipolarization technique and its execution in cloud service‑based MCGDM problem PDF

Author: Avishek Chakraborty

Publisher: Infinite Study

Published:

Total Pages: 18

ISBN-13:

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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.

Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications

Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications PDF

Author: Avishek Chakraborty

Publisher: Infinite Study

Published:

Total Pages: 27

ISBN-13:

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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.

Some properties of Pentagonal Neutrosophic Numbers and its Applications in Transportation Problem Environment

Some properties of Pentagonal Neutrosophic Numbers and its Applications in Transportation Problem Environment PDF

Author: Avishek Chakraborty

Publisher: Infinite Study

Published:

Total Pages: 16

ISBN-13:

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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.