Multi Attribute Group Decision Making Method Based On Weighted Partitioned Maclaurin Symmetric Mean Operator And A Novel Score Function Under Neutrosophic Cubic Environment


Multi Attribute Group Decision Making Method Based On Weighted Partitioned Maclaurin Symmetric Mean Operator And A Novel Score Function Under Neutrosophic Cubic Environment
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Multi Attribute Group Decision Making Method Based On Weighted Partitioned Maclaurin Symmetric Mean Operator And A Novel Score Function Under Neutrosophic Cubic Environment


Multi Attribute Group Decision Making Method Based On Weighted Partitioned Maclaurin Symmetric Mean Operator And A Novel Score Function Under Neutrosophic Cubic Environment
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Author : Jianping Fan
language : en
Publisher: Infinite Study
Release Date :

Multi Attribute Group Decision Making Method Based On Weighted Partitioned Maclaurin Symmetric Mean Operator And A Novel Score Function Under Neutrosophic Cubic Environment written by Jianping Fan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


Neutrosophic cubic set (NCS) is the generalized version of neutrosophic sets and interval neutrosophic sets. It can deal with the complex information by combining the neutrosophic set (NS) and cubic set (CS). The partitioned Maclaurin symmetric mean (PMSM) operator can reflect the interrelationships among attributes where there are interrelationships among attributes in the same partition, but the attributes in different partitions are irrelevant. To effectively gather neutrosophic cubic information, we extend the PMSM operator to neutrosophic cubic environment and define the neutrosophic cubic partitioned Maclaurin symmetric mean (NCPMSM) operator and neutrosophic cubic weighted partitioned Maclaurin symmetric mean (NCWPMSM) operator. Later, we define a novel score function of NCS which overcome the drawbacks of the existing score functions. Next, based on NCWPMSM operator and the novel score function, we develop a multi-attribute group decision-making method. Finally, we give an example of supplier selection to illustrate the usefulness of the proposed multi-attribute group decision-making (MAGDM) method. At the same time, a comparative analysis is to show the effectiveness and advantages of the proposed method compared with the existing methods.



Linguistic Neutrosophic Generalized Partitioned Bonferroni Mean Operators And Their Application To Multi Attribute Group Decision Making


Linguistic Neutrosophic Generalized Partitioned Bonferroni Mean Operators And Their Application To Multi Attribute Group Decision Making
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Author : Yumei Wang
language : en
Publisher: Infinite Study
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Linguistic Neutrosophic Generalized Partitioned Bonferroni Mean Operators And Their Application To Multi Attribute Group Decision Making written by Yumei Wang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


To solve the problems related to inhomogeneous connections among the attributes, we introduce a novel multiple attribute group decision-making (MAGDM) method based on the introduced linguistic neutrosophic generalized weighted partitioned Bonferroni mean operator (LNGWPBM) for linguistic neutrosophic numbers (LNNs).



Group Multi Attribute Decision Making Based On Interval Neutrosophic Sets


Group Multi Attribute Decision Making Based On Interval Neutrosophic Sets
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Author : Amir Hossein NAFEI
language : en
Publisher: Infinite Study
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Group Multi Attribute Decision Making Based On Interval Neutrosophic Sets written by Amir Hossein NAFEI and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


This paper presents a new method for group multi-attribute decision-making (GMADM) based on interval neutrosophic sets, where decision makers determine the weights and the evaluating values of the attributes with respect to the available alternatives by using interval neutrosophic values. In comparison with other existing methods involving group multi-attribute decision making, that only consider crisp or incomplete information, the proposed method, based on interval neutrosophic sets, can handle not only incomplete information but also indeterminate and inconsistent information which is common in real-world situations. Therefore, the method presented in this paper can be more effective and efficient than other decision-making methods.



Multi Criteria Decision Making Method Based On Prioritized Muirhead Mean Aggregation Operator Under Neutrosophic Set Environment


Multi Criteria Decision Making Method Based On Prioritized Muirhead Mean Aggregation Operator Under Neutrosophic Set Environment
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Author : Harish Garg
language : en
Publisher: Infinite Study
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Multi Criteria Decision Making Method Based On Prioritized Muirhead Mean Aggregation Operator Under Neutrosophic Set Environment written by Harish Garg and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Business & Economics categories.


The aim of this paper is to introduce some new operators for aggregating single-valued neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making (MCDM) problems.



Two New Approaches For Multi Attribute Group Decision Making With Interval Valued Neutrosophic Frank Aggregation Operators And Incomplete Weights


Two New Approaches For Multi Attribute Group Decision Making With Interval Valued Neutrosophic Frank Aggregation Operators And Incomplete Weights
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Author : LI-PING ZHOU
language : en
Publisher: Infinite Study
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Two New Approaches For Multi Attribute Group Decision Making With Interval Valued Neutrosophic Frank Aggregation Operators And Incomplete Weights written by LI-PING ZHOU and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


This paper investigates some Frank aggregation operators of interval-valued neutrosophic numbers (IVNNs) and applies to multi-attribute group decision-making (MAGDM) problems. First, the Frank t-conorm and t-norm are extended to interval-valued neutrosophic environment. Some new operational laws for IVNNs are dened and their related properties are investigated. Based on these new operational laws, some new aggregation operators for IVNNs are developed including the interval-valued neutrosophic Frank weighted averaging (IVNFWA) operator and the interval-valued neutrosophic Frank weighted geometric (IVNFWG) operator. Then some desirable properties and special cases of these new operators are further discussed. To solve the MAGDM with IVNNs, the weights of decision makers (DMs) are determined by using extended technique for order preference by similarity to ideal solution (TOPSIS) method based on cross-entropy. Additionally, attribute weights are determined based on the similarity degrees between alternatives and the absolute ideal solutions. Further, two new decision-making approaches for MAGDM with IVNNs are put forward by means of the IVNFWA and IVNFWG operators, respectively.Finally, a case study of selecting an agricultural socialization service provider is analyzed to illustrate the practicality and effectiveness of the developed two approaches.



Neutrosophic Cubic Heronian Mean Operators With Applications In Multiple Attribute Group Decision Making Using Cosine Similarity Functions


Neutrosophic Cubic Heronian Mean Operators With Applications In Multiple Attribute Group Decision Making Using Cosine Similarity Functions
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Author : Muhammad Gulistan
language : en
Publisher: Infinite Study
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Neutrosophic Cubic Heronian Mean Operators With Applications In Multiple Attribute Group Decision Making Using Cosine Similarity Functions written by Muhammad Gulistan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


This article introduces the concept of Heronian mean operators, geometric Heronian mean operators, neutrosophic cubic number–improved generalized weighted Heronian mean operators, neutrosophic cubic number–improved generalized weighted geometric Heronian mean operators. These operators actually generalize the operators of fuzzy sets, cubic sets, and neutrosophic sets. We investigate the average weighted operator on neutrosophic cubic sets and weighted geometric operator on neutrosophic cubic sets to aggregate the neutrosophic cubic information. After this, based on average weighted and geometric weighted and cosine similarity function in neutrosophic cubic sets, we developed a multiple attribute group decision-making method. Finally, we give a mathematical example to illustrate the usefulness and application of the proposed method.



A Multi Criteria Group Decision Making Method With Possibility Degree And Power Aggregation Operators Of Single Trapezoidal Neutrosophic Numbers


A Multi Criteria Group Decision Making Method With Possibility Degree And Power Aggregation Operators Of Single Trapezoidal Neutrosophic Numbers
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Author : Xiaohui Wu
language : en
Publisher: Infinite Study
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A Multi Criteria Group Decision Making Method With Possibility Degree And Power Aggregation Operators Of Single Trapezoidal Neutrosophic Numbers written by Xiaohui Wu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In the paper, a method based on SVTNNs is proposed for dealing with multi-criteria group decision-making (MCGDM) problems.



Neutrosophic Cubic Power Muirhead Mean Operators With Uncertain Data For Multi Attribute Decision Making


Neutrosophic Cubic Power Muirhead Mean Operators With Uncertain Data For Multi Attribute Decision Making
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Author : Qaisar Khan
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Cubic Power Muirhead Mean Operators With Uncertain Data For Multi Attribute Decision Making written by Qaisar Khan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Business & Economics categories.


The neutrosophic cubic set (NCS) is a hybrid structure, which consists of interval neutrosophic sets (INS) (associated with the undetermined part of information associated with entropy) and single-valued neutrosophic set (SVNS) (associated with the determined part of information). NCS is a better tool to handle complex decision-making (DM) problems with INS and SVNS. The main purpose of this article is to develop some new aggregation operators for cubic neutrosophic numbers (NCNs), which is a basic member of NCS.



Multi Attribute Decision Making Method Based On Aggregated Neutrosophic Set


Multi Attribute Decision Making Method Based On Aggregated Neutrosophic Set
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Author : Wen Jiang
language : en
Publisher: Infinite Study
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Multi Attribute Decision Making Method Based On Aggregated Neutrosophic Set written by Wen Jiang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


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.



Multiple Attribute Group Decision Making Method Based On Linguistic Neutrosophic Numbers


Multiple Attribute Group Decision Making Method Based On Linguistic Neutrosophic Numbers
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Author : Zebo Fang
language : en
Publisher: Infinite Study
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Multiple Attribute Group Decision Making Method Based On Linguistic Neutrosophic Numbers written by Zebo Fang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


Existing intuitionistic linguistic variables can describe the linguistic information of both thetruth/membership and falsity/non-membership degrees, but it cannot represent the indeterminate and inconsistent linguistic information.