Simplified Neutrosophic Sets And Their Applications In Multi Criteria Group Decision Making Problems
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Simplified Neutrosophic Sets And Their Applications In Multi Criteria Group Decision Making Problems
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Author : Juan-juan Peng
language : en
Publisher: Infinite Study
Release Date :
Simplified Neutrosophic Sets And Their Applications In Multi Criteria Group Decision Making Problems written by Juan-juan Peng 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.
As a variation of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete and inconsistent information that exists in the real world. Simplified neutrosophic sets (SNSs) have been proposed for the main purpose of addressing issues with a set of specific numbers. However, there are certain problems regarding the existing operations of SNSs, as well as their aggregation operators and the comparison methods. Therefore, this paper defines the novel operations of simplified neutrosophic numbers (SNNs) and develops a comparison method based on the related research of intuitionistic fuzzy numbers. On the basis of these operations and the comparison method, some SNN aggregation operators are proposed. Additionally, an approach for multi-criteria group decision-making (MCGDM) problems is explored by applying these aggregation operators. Finally, an example to illustrate the applicability of the proposed method is provided and a comparison with some other methods is made.
Simplified Neutrosophic Sets Based On Interval Dependent Degree For Multi Criteria Group Decision Making Problems
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Author : Xu Libo
language : en
Publisher: Infinite Study
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Simplified Neutrosophic Sets Based On Interval Dependent Degree For Multi Criteria Group Decision Making Problems written by Xu Libo 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 this paper, a new approach and framework based on the interval dependent degree for multi-criteria group decision-making (MCGDM) problems with simplified neutrosophic sets (SNSs) is proposed. Firstly, the simplified dependent function and distribution function are defined. Then, they are integrated into the interval dependent function which contains interval computing and distribution information of the intervals. Subsequently, the interval transformation operator is defined to convert simplified neutrosophic numbers (SNNs) into intervals, and then the interval dependent function for SNNs is deduced. Finally, an example is provided to verify the feasibility and effectiveness of the proposed method, together with its comparative analysis. In addition, uncertainty analysis, which can reflect the dynamic change of the final result caused by changes in the decision makers’ preferences, is performed in different distribution function situations. That increases the reliability and accuracy of the result.
Multi Valued Neutrosophic Sets And Power Aggregation Operators With Their Applications In Multi Criteria Group Decision Making Problems
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Author : Juan-juan Peng
language : en
Publisher: Infinite Study
Release Date :
Multi Valued Neutrosophic Sets And Power Aggregation Operators With Their Applications In Multi Criteria Group Decision Making Problems written by Juan-juan Peng 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 recent years, hesitant fuzzy sets (HFSs) and neutrosophic sets (NSs) have become a subject of great interest for researchers and have been widely applied to multi-criteria group decision-making (MCGDM) problems. In this paper, multi-valued neutrosophic sets (MVNSs) are introduced, which allow the truth-membership, indeterminacymembership and falsity-membership degree have a set of crisp values between zero and one, respectively.
Fuzzy Multi Criteria Decision Making Using Neutrosophic Sets
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Author : Cengiz Kahraman
language : en
Publisher: Springer
Release Date : 2018-11-03
Fuzzy Multi Criteria Decision Making Using Neutrosophic Sets written by Cengiz Kahraman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Technology & Engineering categories.
This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.
Interval Neutrosophic Sets And Their Application In Multicriteria Decision Making Problems
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Author : Hong-yu Zhang
language : en
Publisher: Infinite Study
Release Date :
Interval Neutrosophic Sets And Their Application In Multicriteria Decision Making Problems written by Hong-yu Zhang 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.
As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world.
Some New Operations On Single Valued Neutrosophic Matrices And Their Applications In Multi Criteria Group Decision Making
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Author : Faruk Karaaslan
language : en
Publisher: Infinite Study
Release Date :
Some New Operations On Single Valued Neutrosophic Matrices And Their Applications In Multi Criteria Group Decision Making written by Faruk Karaaslan 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.
The single-valued neutrosophic set plays a crucial role to handle indeterminant and inconsistent information during decision making process. In recent research, a development in neutrosophic theory is emerged, called single-valued neutrosophic matrices, are used to address uncertainties. The beauty of single-valued neutrosophic matrices is that the utilizing of several fruitful operations in decision making.
New Similarity Measures Of Simplified Neutrosophic Sets And Their Applications
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Author : Chunfang Liu
language : en
Publisher: Infinite Study
Release Date :
New Similarity Measures Of Simplified Neutrosophic Sets And Their Applications written by Chunfang Liu 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.
The simplified neutrosophic set (SNS) is a generalization of fuzzy set that is designed for some practical situations in which each element has truth membership function, indeterminacy membership function and falsity membership function.
Multi Criteria Group Decision Making Model In Neutrosophic Refined Set And Its Application
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Author : Surapati Pramanik
language : en
Publisher: Infinite Study
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Multi Criteria Group Decision Making Model In Neutrosophic Refined Set And Its Application written by Surapati Pramanik 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.
In the paper, multi criteria group decision making model has been presented based on tangent similarity measure of neutrosophic refined set. Simplified form of tangent similarity measure in neutrosophic refined set has been presented. New ranking method has been proposed based on refined tangent similarity measure. The proposed approach has been illustrated by solving a teacher selection problem in neutrosophic refined set environment.
Bipolar Neutrosophic Sets And Their Application Based On Multi Criteria Decision Making Problems
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Author : Irfan Deli
language : en
Publisher: Infinite Study
Release Date :
Bipolar Neutrosophic Sets And Their Application Based On Multi Criteria Decision Making Problems written by Irfan Deli 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.
In this paper, we introduce concept of bipolar neutrosophic set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic sets.
Multi Criteria Decision Making Method Based On Simplified Neutrosophic Linguistic Information With Cloud Model
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Author : Jian-Qiang Wang
language : en
Publisher: Infinite Study
Release Date :
Multi Criteria Decision Making Method Based On Simplified Neutrosophic Linguistic Information With Cloud Model written by Jian-Qiang 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 Mathematics categories.
This study introduces simplified neutrosophic linguistic numbers (SNLNs) to describe online consumer reviews in an appropriate manner. Considering the defects of studies on SNLNs in handling linguistic information, the cloud model is used to convert linguistic terms in SNLNs to three numerical characteristics. Then, a novel simplified neutrosophic cloud (SNC) concept is presented, and its operations and distance are defined. Next, a series of simplified neutrosophic cloud aggregation operators are investigated, including the simplified neutrosophic clouds Maclaurin symmetric mean (SNCMSM) operator, weighted SNCMSM operator, and generalized weighted SNCMSM operator. Subsequently, a multi-criteria decision-making (MCDM) model is constructed based on the proposed aggregation operators. Finally, a hotel selection problem is presented to verify the effectiveness and validity of our developed approach.