Three Way Decision Based On Decision Theoretic Rough Sets With Single Valued Neutrosophic Information
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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.
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
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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.
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.
A New Single Valued Neutrosophic Rough Sets And Related Topology
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Author : Qiu Jin
language : en
Publisher: Infinite Study
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A New Single Valued Neutrosophic Rough Sets And Related Topology written by Qiu Jin 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.
(Fuzzy) rough sets are closely related to (fuzzy) topologies. Neutrosophic rough sets and neutrosophic topologies are extensions of (fuzzy) rough sets and (fuzzy) topologies, respectively. In this paper, a new type of neutrosophic rough sets is presented, and the basic properties and the relationships to neutrosophic topology are discussed.
Multi Attribute Group Decision Making Based On Multigranulation Probabilistic Models With Interval Valued Neutrosophic Information
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Author : Chao Zhang
language : en
Publisher: Infinite Study
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Multi Attribute Group Decision Making Based On Multigranulation Probabilistic Models With Interval Valued Neutrosophic Information written by Chao 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 Mathematics categories.
In plenty of realistic situations, multi-attribute group decision-making (MAGDM) is ubiquitous and significant in daily activities of individuals and organizations. Among diverse tools for coping with MAGDM, granular computing-based approaches constitute a series of viable and efficient theories by means of multi-view problem solving strategies. In this paper, in order to handle MAGDM issues with interval-valued neutrosophic (IN) information, we adopt one of the granular computing (GrC)-based approaches, known as multigranulation probabilistic models, to address IN MAGDM problems.
Medical Diagnosis Based On Single Valued Neutrosophic Probabilistic Rough Multisets Over Two Universes
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Author : Chao Zhang
language : en
Publisher: Infinite Study
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Medical Diagnosis Based On Single Valued Neutrosophic Probabilistic Rough Multisets Over Two Universes written by Chao 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.
In real-world diagnostic procedures, due to the limitation of human cognitive competence, a medical expert may not conveniently use some crisp numbers to express the diagnostic information, and plenty of research has indicated that generalized fuzzy numbers play a significant role in describing complex diagnostic information.
Transactions On Rough Sets Xxiii
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Author : James F. Peters
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Transactions On Rough Sets Xxiii written by James F. Peters and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Computers categories.
The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery, and intelligent information processing, to relations between rough sets and other approaches to uncertainty, vagueness, and incompleteness, such as fuzzy sets and theory of evidence. Volume XXIII in the series is a continuation of a number of research streams that have grown out of the seminal work of Zdzislaw Pawlak during the first decade of the 21st century.
Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education
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Author : Broumi, Said
language : en
Publisher: IGI Global
Release Date : 2023-06-09
Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education written by Broumi, Said and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-09 with Mathematics categories.
Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods for making decisions. However, only a small number of research findings discuss how neutrosophic sets theory and their extensions (NSTEs) are used in education. The Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education implements fresh scientific approaches to enhance the quality of decisions under neutrosophic environments, particularly within education. Covering key topics such as data modeling, educational technologies, decision making, and learning management systems, this major reference work is ideal for instructional designers, researchers, academicians, scholars, practitioners, instructors, and students.
Three Way N Valued Neutrosophic Concept Lattice At Different Granulation
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Author : Prem Kumar Singh
language : en
Publisher: Infinite Study
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Three Way N Valued Neutrosophic Concept Lattice At Different Granulation written by Prem Kumar Singh 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 year, the mathematics of three-way fuzzy concept lattice is introduced to characterize the attributes based on its acceptation, rejection and uncertain part. One of the suitable example is descriptive analysis of opinion of people in a democratic country. This became complex for the country like India where opinion (i.e. vote) of people to choose the particular leader is based on 29 independent states and their distinct issues. Adequate analysis of these type of 29-valued data based on its acceptation, rejection and uncertain part is major issue for the government and private agencies. To resolve this issue current paper introduces n-valued neutrosophic context and its graphical structure visualization for descriptive analysis. In the same time an another method is proposed to some of the similar three-way n-valued concepts. To zoom in and zoom out the n-valued neutrosophic context at user required information granules with an illustrative example.
Rough Sets
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Author : Qinghua Zhang
language : en
Publisher: Springer Nature
Release Date : 2025-06-16
Rough Sets written by Qinghua Zhang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-16 with Computers categories.
This three-volume set LNAI 15708-15709-15110 constitutes the proceedings of the International Joint Conference on Rough Sets, IJCRS 2025, held in Chongqing, China, during May 11–13, 2025. The 90 full papers included in these volumes were carefully reviewed and selected from 187 submissions. They are organized in topical sections as follows: Part I: Rough Set Models and Foundations; Fuzzy Rough Sets and Rough Fuzzy Sets; and Granular Computing. Part II: Rough Set Applications; Feature Selection and Knowledge Discovery; and Cognitive Computing. Part III: Three-way Data Analytics and Decision; Medicine and Health Data Mining; and Applications of Deep Learning and Soft Computing.