The Three Way Decisions Method Based On Theory Of Reliability With Sv Triangular Neutrosophic Numbers
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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
Release Date :
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.
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 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.
A Critical Path Problem Using Triangular Neutrosophic Number
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Author : Mai Mohamed
language : en
Publisher: Infinite Study
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A Critical Path Problem Using Triangular Neutrosophic Number written by Mai Mohamed 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 Critical Path Method (CPM) is one of several related techniques for planning and managing of complicated projects in real world applications. In many situations, the data obtained for decision makers are only approximate, which gives rise of neutrosophic critical path problem.
A Multi Criteria Decision Making Method Based On Single Valued Trapezoidal Neutrosophic Preference Relations With Complete Weight Information
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Author : Ru-xia Liang
language : en
Publisher: Infinite Study
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A Multi Criteria Decision Making Method Based On Single Valued Trapezoidal Neutrosophic Preference Relations With Complete Weight Information written by Ru-xia Liang 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 trapezoidal neutrosophic numbers (SVTNNs) have a strong capacity to depict uncertain, inconsistent, and incomplete information about decisionmaking problems.
Multicriteria Decision Making Method And Application In The Setting Of Trapezoidal Neutrosophic Z Numbers
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Author : Rui Yong
language : en
Publisher: Infinite Study
Release Date :
Multicriteria Decision Making Method And Application In The Setting Of Trapezoidal Neutrosophic Z Numbers written by Rui Yong 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 information expression and modeling of decision-making are critical problems in the fuzzy decision theory and method. However, existing trapezoidal neutrosophic numbers (TrNNs) and neutrosophic Z-numbers (NZNs) and their multicriteria decision-making (MDM) methods reveal their insufficiencies, such as without considering the reliability measures in TrNN and continuous Z-numbers in NZN. To overcome the insufficiencies, it is necessary that one needs to propose trapezoidal neutrosophic Z-numbers (TrNZNs), their aggregation operations, and an MDM method for solving MDM problems with TrNZN information.