Soft Rough Neutrosophic Influence Graphs with Application

In this paper, we apply the notion of soft rough neutrosophic sets to graph theory. We develop certain new concepts, including soft rough neutrosophic graphs, soft rough neutrosophic influence graphs, soft rough neutrosophic influence cycles and soft rough neutrosophic influence trees. We illustrate these concepts with examples, and investigate some of their properties. We solve the decision-making problem by using our proposed algorithm.

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A New Multi-Attribute Decision Making Method with Single-Valued Neutrosophic Graphs

10.54216/ijns.0110202 ◽

2020 ◽

pp. 76-86

Author(s):

admin admin ◽

◽

Wenhui Bai ◽

...

Keyword(s):

Decision Making ◽

Graph Theory ◽

Comparative Analysis ◽

Fuzzy Graph ◽

Neutrosophic Sets ◽

Inconsistent Information ◽

Operational Laws ◽

Engineering Economy ◽

Multi Attribute Decision Making

In most realistic situations, the theory and method of multi-attribute decision-making have been widely used in different fields, such as engineering, economy, management, military, and others. Although many studies in some extended fuzzy contexts have been explored with multi-attribute decision-making, it is widely recognized that single-valued neutrosophic sets can describe incomplete, indeterminate and inconsistent information more easier. In this paper, aiming at addressing multi-attribute decision-making problems with single-valued neutrosophic information, related models and multi-attribute decision-making approaches based on the fuzzy graph theory are studied. In specific, the notion of single-valued neutrosophic sets and graphs is firstly introduced together with several common operational laws. Then a multi-attribute decision making method based on single-valued neutrosophic graphs is established. Finally, an illustrative example and a comparative analysis are conducted to verify the feasibility and efficiency of the proposed method.

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Bipolar quadripartitioned single valued neutrosophic sets

Proyecciones (Antofagasta) ◽

10.22199/issn.0717-6279-2020-06-0095 ◽

2020 ◽

Vol 39 (6) ◽

pp. 1597-1614

Author(s):

Kalyan Sinha ◽

Pinaki Majumdar

Keyword(s):

Decision Making ◽

Similarity Measure ◽

Similarity Measures ◽

Neutrosophic Set ◽

Entropy Measure ◽

Neutrosophic Sets ◽

Basic Set ◽

Decision Making Problem ◽

Different Types ◽

Measure Technique

The notion of simple bipolar quadripartition is presented valuable neutrosophic set. Some basic set theoretic terminologies, operations and properties of bipolar quadripartitioned single valued neutrosophic set are given here. Also different types of distances, similarity measures and entropy measure are discussed. Finally a decision making problem using the similarity measure technique of bipolar quadripartitioned single valued neutrosophic sets has been solved.

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An Approach to Data Reduction and Decision Making Problem by Hybridization of Fuzzy Soft Set and Graph Theory

International Journal of Computer Applications ◽

10.5120/ijca2017915490 ◽

2017 ◽

Vol 175 (2) ◽

pp. 17-25

Author(s):

Omdutt Sharma ◽

Prince Goyal ◽

Priti Gupta

Keyword(s):

Decision Making ◽

Graph Theory ◽

Data Reduction ◽

Soft Set ◽

Fuzzy Soft Set ◽

Decision Making Problem

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Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making

Symmetry ◽

10.3390/sym12020269 ◽

2020 ◽

Vol 12 (2) ◽

pp. 269 ◽

Cited By ~ 2

Author(s):

Huiling Xue ◽

Xiaotong Yang ◽

Chunfang Chen

Keyword(s):

Decision Making ◽

Binary Operation ◽

Score Function ◽

Multiple Attribute Decision Making ◽

Membership Degree ◽

Neutrosophic Sets ◽

Important Indicator ◽

Multiple Attribute ◽

Decision Making Problem ◽

Multi Attribute Decision Making

The neutrosophic cubic sets are an extension of the cubic sets to the neutrosophic sets. It contains three variables, which respectively represent the membership degree, non-membership degree and uncertainty of the element to the set. The score function is an important indicator in the multi-attribute decision-making problem. In this paper, we consider the possibility that an element belongs to a set and put forward the concept of possibility neutrosophic cubic sets. On this basis, we introduce some related concepts and give the binary operation of possibility neutrosophic cubic sets and use specific examples to supplement the corresponding definition. Meanwhile, a decision-making method based on the score function of possibility neutrosophic cubic sets is proposed and a numerical example is given to illustrate the effectiveness of the proposed method.

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Machinability Index Evaluation: A Case Study of Carbide Inserts

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.330.86 ◽

2013 ◽

Vol 330 ◽

pp. 86-90

Author(s):

Amritpal Singh Sadioura ◽

Rupinder Singh ◽

Harwinder Singh

Keyword(s):

Decision Making ◽

Graph Theory ◽

Computer Software ◽

Machining Process ◽

Theoretic Approach ◽

Matrix Approach ◽

Decision Making Problem ◽

Machinability Index ◽

Carbide Insert ◽

Selection Of

The selection of carbide insert on the basis of performance measuring parameters is amulti-attribute decision making problem. This proposed work demonstrates a methodology to evaluate the machinability of the selected turning operation by using graph theory and matrix methods. The qualitative values of attributes are obtained by measuring the process attributes. The fuzzy score has been used to convert intangible factors to crisp scores and then graph theoretic approach has been applied to calculate the single numerical machinability index for ranking among the insert alternatives. Permanent function matrix has been solved by using computer software. This study, in particular, shows the potentiality of graph theory and matrix approach for the analysis, evaluation and selection of carbide insert for machining process. A hybrid decision making method of graph theory and matrix approach (GTMA) and analytical hierarchy process (AHP) is proposed to solve multi decision making problem. The result of study highlights the ranking of inserts based upon machinability index.

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Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems

Symmetry ◽

10.3390/sym12061012 ◽

2020 ◽

Vol 12 (6) ◽

pp. 1012

Author(s):

Subhadip Roy ◽

Jeong-Gon Lee ◽

Anita Pal ◽

Syamal Kumar Samanta

Keyword(s):

Decision Making ◽

Fuzzy Sets ◽

Similarity Measures ◽

Distance Measures ◽

Neutrosophic Set ◽

Multi Criteria Decision Making ◽

Neutrosophic Sets ◽

Decision Making Problem ◽

Definition Of ◽

Bipolar Fuzzy Sets

In this paper, a definition of quadripartitioned single valued bipolar neutrosophic set (QSVBNS) is introduced as a generalization of both quadripartitioned single valued neutrosophic sets (QSVNS) and bipolar neutrosophic sets (BNS). There is an inherent symmetry in the definition of QSVBNS. Some operations on them are defined and a set theoretic study is accomplished. Various similarity measures and distance measures are defined on QSVBNS. An algorithm relating to multi-criteria decision making problem is presented based on quadripartitioned bipolar weighted similarity measure. Finally, an example is shown to verify the flexibility of the given method and the advantage of considering QSVBNS in place of fuzzy sets and bipolar fuzzy sets.

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Cylindrical neutrosophic single‐valued number and its application in networking problem, multi‐criterion group decision‐making problem and graph theory

CAAI Transactions on Intelligence Technology ◽

10.1049/trit.2019.0083 ◽

2020 ◽

Vol 5 (2) ◽

pp. 68-77 ◽

Cited By ~ 2

Author(s):

Avishek Chakraborty ◽

Sankar Prasad Mondal ◽

Shariful Alam ◽

Animesh Mahata

Keyword(s):

Decision Making ◽

Graph Theory ◽

Group Decision Making ◽

Group Decision ◽

Criterion Group ◽

Decision Making Problem

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Multicriteria Decision Making Using Double Refined Indeterminacy Neutrosophic Cross Entropy and Indeterminacy Based Cross Entropy

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.859.129 ◽

2016 ◽

Vol 859 ◽

pp. 129-143 ◽

Cited By ~ 7

Author(s):

Ilanthenral Kandasamy ◽

Florentin Smarandache

Keyword(s):

Decision Making ◽

Fuzzy Sets ◽

Multicriteria Decision Making ◽

Cross Entropy ◽

Neutrosophic Set ◽

Neutrosophic Sets ◽

Multicriteria Decision ◽

Inconsistent Information ◽

Decision Making Problem ◽

The Cross

Double Refined Indeterminacy Neutrosophic Set (DRINS) is an inclusive case of the refined neutrosophic set, defined by Smarandache (2013), which provides the additional possibility to represent with sensitivity and accuracy the uncertain, imprecise, incomplete, and inconsistent information which are available in real world. More precision is provided in handling indeterminacy; by classifying indeterminacy (I) into two, based on membership; as indeterminacy leaning towards truth membership (IT) and indeterminacy leaning towards false membership (IF). This kind of classification of indeterminacy is not feasible with the existing Single Valued Neutrosophic Set (SVNS), but it is a particular case of the refined neutrosophic set (where each T, I, F can be refined into T1, T2, ...; I1, I2, ...; F1, F2, ...). DRINS is better equipped at dealing indeterminate and inconsistent information, with more accuracy than SVNS, which fuzzy sets and Intuitionistic Fuzzy Sets (IFS) are incapable of. Based on the cross entropy of neutrosophic sets, the cross entropy of DRINSs, known as Double Refined Indeterminacy neutrosophic cross entropy, is proposed in this paper. This proposed cross entropy is used for a multicriteria decision-making problem, where the criteria values for alternatives are considered under a DRINS environment. Similarly, an indeterminacy based cross entropy using DRINS is also proposed. The double valued neutrosophic weighted cross entropy and indeterminacy based cross entropy between the ideal alternative and an alternative is obtained and utilized to rank the alternatives corresponding to the cross entropy values. The most desirable one(s) in decision making process is selected. An illustrative example is provided to demonstrate the application of the proposed method. A brief comparison of the proposed method with the existing methods is carried out.

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Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set

Symmetry ◽

10.3390/sym11020267 ◽

2019 ◽

Vol 11 (2) ◽

pp. 267 ◽

Cited By ~ 6

Author(s):

Wen Jiang ◽

Zihan Zhang ◽

Xinyang Deng

Keyword(s):

Decision Making ◽

Score Function ◽

Point Of View ◽

Neutrosophic Set ◽

Expert Assessment ◽

Ideal Solution ◽

Decision Matrix ◽

Neutrosophic Sets ◽

Decision Making Problem ◽

Multi Attribute Decision Making

Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a special case of neutrosophic set, which is widely used in actual application fields. In this paper, a new method based on single-valued neutrosophic sets aggregation to solve multi-attribute decision making problem is proposed. Firstly, the neutrosophic decision matrix is obtained by expert assessment, a score function of single-valued neutrosophic sets (SVNSs) is defined to obtain the positive ideal solution (PIS) and the negative ideal solution (NIS). Then all alternatives are aggregated based on TOPSIS method to make decision. Finally numerical examples are given to verify the feasibility and rationality of the method.

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