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The Three Way Decisions Method Based On Theory Of Reliability With Sv Triangular Neutrosophic Numbers


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


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.



The Three Way Decisions Method Based On Theory Of Reliability With Sv Triangular Neutrosophic Numbers


The Three Way Decisions Method Based On Theory Of Reliability With Sv Triangular Neutrosophic Numbers
DOWNLOAD
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


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


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
Release Date :

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.



Pythagorean Fuzzy Sets


Pythagorean Fuzzy Sets
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Author : Harish Garg
language : en
Publisher: Springer Nature
Release Date : 2021-07-22

Pythagorean Fuzzy Sets written by Harish Garg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-22 with Mathematics categories.


This book presents a collection of recent research on topics related to Pythagorean fuzzy set, dealing with dynamic and complex decision-making problems. It discusses a wide range of theoretical and practical information to the latest research on Pythagorean fuzzy sets, allowing readers to gain an extensive understanding of both fundamentals and applications. It aims at solving various decision-making problems such as medical diagnosis, pattern recognition, construction problems, technology selection, and more, under the Pythagorean fuzzy environment, making it of much value to students, researchers, and professionals associated with the field.



Evaluation Of E Commerce Websites An Integrated Approach Under A Single Valued Trapezoidal Neutrosophic Environment


Evaluation Of E Commerce Websites An Integrated Approach Under A Single Valued Trapezoidal Neutrosophic Environment
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Author : Ruxia Liang
language : en
Publisher: Infinite Study
Release Date :

Evaluation Of E Commerce Websites An Integrated Approach Under A Single Valued Trapezoidal Neutrosophic Environment written by Ruxia 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.


E-commerce website evaluation is recognized as a complex multi-criteria decision-making (MCDM) problem involving vast amounts of imprecise and inconsistent evaluation data.



13th International Conference On Theory And Application Of Fuzzy Systems And Soft Computing Icafs 2018


13th International Conference On Theory And Application Of Fuzzy Systems And Soft Computing Icafs 2018
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Author : Rafik A. Aliev
language : en
Publisher: Springer
Release Date : 2018-12-28

13th International Conference On Theory And Application Of Fuzzy Systems And Soft Computing Icafs 2018 written by Rafik A. Aliev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-28 with Technology & Engineering categories.


This book presents the proceedings of the 13th International Conference on Application of Fuzzy Systems and Soft Computing (ICAFS 2018), held in Warsaw, Poland on August 27–28, 2018. It includes contributions from diverse areas of soft computing such as uncertain computation, Z-information processing, neuro-fuzzy approaches, evolutionary computing and others. The topics of the papers include theory of uncertainty computation; theory and application of soft computing; decision theory with imperfect information; neuro-fuzzy technology; image processing with soft computing; intelligent control; machine learning; fuzzy logic in data analytics and data mining; evolutionary computing; chaotic systems; soft computing in business, economics and finance; fuzzy logic and soft computing in the earth sciences; fuzzy logic and soft computing in engineering; soft computing in medicine, biomedical engineering and the pharmaceutical sciences; and probabilistic and statistical reasoning in the social and educational sciences. The book covers new ideas from theoretical and practical perspectives in economics, business, industry, education, medicine, the earth sciences and other fields. In addition to promoting the development and application of soft computing methods in various real-life fields, it offers a useful guide for academics, practitioners, and graduates in fuzzy logic and soft computing fields.



Neutrosophy


Neutrosophy
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Author : Florentin Smarandache
language : en
Publisher:
Release Date : 1998

Neutrosophy written by Florentin Smarandache and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.




Neutrosophic Sets An Overview


Neutrosophic Sets An Overview
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Author : Said Broumi
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Sets An Overview written by Said Broumi 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 this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations.



Multiple Attribute Decision Making Algorithm Via Picture Fuzzy Nano Topological Spaces


Multiple Attribute Decision Making Algorithm Via Picture Fuzzy Nano Topological Spaces
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Author : Ibtesam Alshammari
language : en
Publisher: Infinite Study
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Multiple Attribute Decision Making Algorithm Via Picture Fuzzy Nano Topological Spaces written by Ibtesam Alshammari 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.


Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological spaces. Every decision in life ends with an answer such as yes or no, or true or false, but we have an another component called abstain, which we have not yet considered. This work is a gateway to study such a problem. This paper motivates an enquiry of the third component – abstain - in practical problems. The aim of this paper is to investigate the contemporary notion of picture fuzzy nano topological spaces and explore some of its properties. The stated properties are quantified with numerical data. Furthermore, an algorithm for Multiple Attribute Decision-Making (MADM) with an application regarding the file selection of building material under uncertainty by using picture fuzzy nano topological spaces is developed. As a practical problem, a comparison table is presented to show the difference between the novel concept and the existing methods.