Three Way Decisions With Single Valued Neutrosophic Decision Theory Rough Sets Based On Grey Relational Analysis
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Three Way Decisions With Single Valued Neutrosophic Decision Theory Rough Sets Based On Grey Relational Analysis
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Author : Peide Liu
language : en
Publisher: Infinite Study
Release Date :
Three Way Decisions With Single Valued Neutrosophic Decision Theory Rough Sets Based On Grey Relational Analysis written by Peide 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 Mathematics categories.
+e single-valued neutrosophic set (SVNS) can not only depict imperfect information in the real decision system but also handle undetermined and inconformity information flexibly and effectively. +ree-way decisions (3WDs) are often used as an effective method to deal with uncertainties, but the conditional probability is given by the decision maker subjectively, which makes the decision result too subjective. +is paper proposes a novel model based on 3WDs to settle the multiattribute decision-making (MADM) problems, where the attribute values are described by SVNS, and the attribute weights are entirely unknown. At first, we build a single-valued neutrosophic decision theory rough set (SVNDTRS) model based on Bayesian decision process. +en, we use the analytic hierarchy process (AHP) approach to calculate the subjective weight of each attribute, the information entropy to obtain the attribute’s objective weight, and the minimum total deviation approach to determine the combined weight of the attributes. After obtaining the standard weight, the grey relational analysis (GRA) method is utilized to calculate the grey correlation closeness with the ideal solution, and the conditional probability is estimated by it. In addition, we develop a decisionmaking method in view of the ideal solution of 3WDs with the SVNS. +is approach not only considers the lowest cost but also gives a corresponding semantic explanation for the decision result of each alternative, which can supplement the decision results of GRA. At last, we illustrate the feasibility and effectiveness of 3WDs through an example of supplier selection and compare it with other methods to verify the advantages of our approach.
Three Way Decisions With Single Valued Neutrosophic Decision Theory Rough Sets Based On Grey Relational Analysis
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Author : Peide Liu
language : en
Publisher: Infinite Study
Release Date :
Three Way Decisions With Single Valued Neutrosophic Decision Theory Rough Sets Based On Grey Relational Analysis written by Peide 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 Mathematics categories.
The single-valued neutrosophic set (SVNS) can not only depict imperfect information in the real decision system but also handle undetermined and inconformity information flexibly and effectively. Three-way decisions (3WDs) are often used as an effective method to deal with uncertainties, but the conditional probability is given by the decision maker subjectively, which makes the decision result too subjective. This paper proposes a novel model based on 3WDs to settle the multiattribute decision-making (MADM) problems, where the attribute values are described by SVNS, and the attribute weights are entirely unknown.
Neutrosophic Sets And Systems An International Book Series In Information Science And Engineering Vol 22 2018
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2018
Neutrosophic Sets And Systems An International Book Series In Information Science And Engineering Vol 22 2018 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Todim Strategy Formulti Attribute Group Decisionmaking In Trapezoidal Neutrosophic Number Environment
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Author : Surapati Pramanik
language : en
Publisher: Infinite Study
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Todim Strategy Formulti Attribute Group Decisionmaking In Trapezoidal Neutrosophic Number Environment 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 Mathematics categories.
Many multi-attribute group decision-making (MAGDM) strategies have been introduced in the literature to deal with decisionmaking problems in uncertain environment. Many of them are based on fuzzy numbers and they are not able to cope with indeterminacy and inconsistency involving in decision making. In recent years, some neutrosophic multi-attribute group decision-making strategies have been successfully developed to deal with uncertainty, indeterminacy, and inconsistency in decision making. Among them, TODIM (an acronym in Portuguese of interactive and multiple attribute decision making) strategy based on prospect theory has received more attention due to its great performance in considering the bounded rationality of decision makers. In this paper, we develop a TODIM strategy to deal with multi-attribute group decisionmaking problem in trapezoidal neutrosophic numbers environment. To establish the TODIM strategy, we employ score function, accuracy function, and Hamming distance function for trapezoidal neutrosophic numbers. Lastly, we solve an illustrative numerical example to show the applicability and usefulness of the proposed strategy. A comparison analysis is also provided.
Some Neutrosophic Probability Distributions
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Author : Rafif Alhabib
language : un
Publisher: Infinite Study
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Some Neutrosophic Probability Distributions written by Rafif Alhabib 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, we introduce and study some neutrosophic probability distributions, The study is done through generalization of some classical probability distributions as Poisson distribution, Exponential distribution and Uniform distribution, this study opens the way for dealing with issues that follow the classical distributions and at the same time contain data not specified accurately.
Three Way Decision Based On Decision Theoretic Rough Sets With Single Valued Neutrosophic Information
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Author : Li Jiao
language : en
Publisher: Infinite Study
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Three Way Decision Based On Decision Theoretic Rough Sets With Single Valued Neutrosophic Information written by Li Jiao 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, we propose two new three-way decision models based on decision theoretic rough sets with single-valued neutrosophic information. The difference between the two models is different ranking methods. One is the ranking method based on cosine similarity measure. The other is the ranking method based on Euclidean distance. We give the key steps of the propose models and present an example of breakfast shop siting problem to show the rationality and practicability of the proposed models. Finally, we make comparison analysis between the two models, and compare our models with other existing related models.
The Three Way Decisions Method Based On Theory Of Reliability With Sv Triangular Neutrosophic Numbers
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Author : Xiang Li
language : en
Publisher: Infinite Study
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The Three Way Decisions Method Based On Theory Of Reliability With Sv Triangular Neutrosophic Numbers written by Xiang Li 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.
Three-way decisions, as a decision-making mode which is consistent with human cognition, have been widely used in various fields. In this paper, we fuse the theory of reliability into the three-way decisions method, replace the conditional probability in the three-way decisions method with reliability, and then propose a novel three-way decisions method. We also describe the loss functions with single-valued triangular neutrosophic numbers (SVTNNs) and propose an operator to calculate the score function of triangular neutrosophic numbers. Then, the result of decision is attained according to the principle of minimizing loss. Finally, we apply this method to the overhaul of machines in a factory, which proves the practicability and effectiveness of the proposed methods.
An Extended Grey Relational Analysis Based Interval Neutrosophic Multi Attribute Decision Making For Weaver Selection
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Author : Partha Pratim Dey
language : en
Publisher: Infinite Study
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An Extended Grey Relational Analysis Based Interval Neutrosophic Multi Attribute Decision Making For Weaver Selection written by Partha Pratim Dey 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 paper proposes a multi-attribute decision making method based on extended grey relation analysis under interval neutrosophic environment. The interval neutrosophic set is an important decision making apparatus that can handle imprecise, indeterminate, inconsistence information.
A Novel Divergence Measure And Its Based Topsis Method For Multi Criteria Decision Making Under Single Valued Neutrosophic Environment
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Author : Nancy
language : en
Publisher: Infinite Study
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A Novel Divergence Measure And Its Based Topsis Method For Multi Criteria Decision Making Under Single Valued Neutrosophic Environment written by Nancy 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 theme of this work is to present an axiomatic definition of divergence measure for single-valued neutrosophic sets (SVNSs). The properties of the proposed divergence measure have been studied. Further, we develop a novel technique for order preference by similarity to ideal solution (TOPSIS) method for solving single-valued neutrosophic multi-criteria decision-making with incomplete weight information. Finally, a numerical example is presented to verify the proposed approach and to present its effectiveness and practicality.
Group Decision Making Method Based On Single Valued Neutrosophic Choquet Integral Operator
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Author : HAN Lili
language : en
Publisher: Infinite Study
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Group Decision Making Method Based On Single Valued Neutrosophic Choquet Integral Operator written by HAN Lili 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.
Single valued neutrosophic set (SVNS) depicts not only the incomplete information, but also the indeterminate information and inconsistent information which exist commonly in belief systems.