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

Li Jiao,Hai-Long Yang,Sheng-Gang Li
Three way decision based on decision theoretic rough sets with single valued neutrosophic information Book PDF

Author : Li Jiao,Hai-Long Yang,Sheng-Gang Li
Publisher : Infinite Study
Page : 17 pages
File Size : 42,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Three-way decision based on decision-theoretic rough sets with single-valued neutrosophic information by Li Jiao,Hai-Long Yang,Sheng-Gang Li Pdf

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

Peide Liu , Hongyu Yang
Three Way Decisions with Single Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis Book PDF

Author : Peide Liu , Hongyu Yang
Publisher : Infinite Study
Page : 13 pages
File Size : 44,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Three-Way Decisions with Single-Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis by Peide Liu , Hongyu Yang Pdf

+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

Peide Liu ,Hongyu Yang
Three Way Decisions with Single Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis Book PDF

Author : Peide Liu ,Hongyu Yang
Publisher : Infinite Study
Page : 13 pages
File Size : 51,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Three-Way Decisions with Single-Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis by Peide Liu ,Hongyu Yang Pdf

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.

Transactions on Rough Sets XXIII

James F. Peters,Andrzej Skowron,Rabi Nanda Bhaumik,Sheela Ramanna
Transactions on Rough Sets XXIII Book PDF

Author : James F. Peters,Andrzej Skowron,Rabi Nanda Bhaumik,Sheela Ramanna
Publisher : Springer Nature
Page : 513 pages
File Size : 43,7 Mb
Release : 2023-01-01
Category : Computers
ISBN : 9783662665442

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Transactions on Rough Sets XXIII by James F. Peters,Andrzej Skowron,Rabi Nanda Bhaumik,Sheela Ramanna Pdf

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.

The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers

Xiang Li,Xianjiu Huang
The Three Way Decisions Method Based on Theory of Reliability with SV Triangular Neutrosophic Numbers Book PDF

Author : Xiang Li,Xianjiu Huang
Publisher : Infinite Study
Page : 12 pages
File Size : 43,7 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers by Xiang Li,Xianjiu Huang Pdf

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.

Rough Sets

Hung Son Nguyen,Quang-Thuy Ha,Tianrui Li,Małgorzata Przybyła-Kasperek
Rough Sets Book PDF

Author : Hung Son Nguyen,Quang-Thuy Ha,Tianrui Li,Małgorzata Przybyła-Kasperek
Publisher : Springer
Page : 676 pages
File Size : 45,5 Mb
Release : 2018-08-14
Category : Computers
ISBN : 9783319993683

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Rough Sets by Hung Son Nguyen,Quang-Thuy Ha,Tianrui Li,Małgorzata Przybyła-Kasperek Pdf

This LNAI 1103 constitutes the proceedings of the International Joint Conference on Rough Sets, IJCRS 2018, held in Quy Nhon, Vietnam, in August 2018. The 40 full papers presented together with 5 short papers were carefully reviewed and selected from 61 submissions. The IJCRS conferences aim at bringing together experts from universities and research centers as well as the industry representing fields of research in which theoretical and applicational aspects of rough set theory already find or may potentially find usage.

Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education

Broumi, Said
Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education Book PDF

Author : Broumi, Said
Publisher : IGI Global
Page : 386 pages
File Size : 51,5 Mb
Release : 2023-06-09
Category : Mathematics
ISBN : 9781668478370

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Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education by Broumi, Said Pdf

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.

Medical Diagnosis Based on Single-Valued Neutrosophic Probabilistic Rough Multisets over Two Universes

Chao Zhang , Deyu Li,Said Broumi,Arun Kumar Sangaiah
Medical Diagnosis Based on Single Valued Neutrosophic Probabilistic Rough Multisets over Two Universes Book PDF

Author : Chao Zhang , Deyu Li,Said Broumi,Arun Kumar Sangaiah
Publisher : Infinite Study
Page : 16 pages
File Size : 43,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Medical Diagnosis Based on Single-Valued Neutrosophic Probabilistic Rough Multisets over Two Universes by Chao Zhang , Deyu Li,Said Broumi,Arun Kumar Sangaiah Pdf

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.

Neutrosophic Operational Research

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Operational Research Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Springer Nature
Page : 628 pages
File Size : 42,6 Mb
Release : 2021-09-09
Category : Business & Economics
ISBN : 9783030571979

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Neutrosophic Operational Research by Florentin Smarandache,Mohamed Abdel-Basset Pdf

This book addresses new concepts, methods, algorithms, modeling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, linear problems and new information related to optimization for the topic from the theoretical and applied viewpoints of neutrosophic sets and logic. The book is an innovatory of new tools and procedures, such as: Neutrosophic Statistical Tests and Dependent State Samplings, Neutrosophic Probabilistic Expert Systems, Neutrosophic HyperSoft Set, Quadripartitioned Neutrosophic Cross-Entropy, Octagonal and Spherical and Cubic Neutrosophic Numbers used in machine learning. It highlights the process of neutrosofication {which means to split the universe into three parts, two opposite ones (Truth and Falsehood), and an Indeterminate or neutral one (I) in between them}. It explains Three-Ways Decision, how the universe set is split into three different distinct areas, in regard to the decision process, representing: Acceptance, Noncommitment, and Rejection, respectively. The Three-Way Decision is used in the Neutrosophic Linguistic Rough Set, which has never been done before.

Three-way n-valued neutrosophic concept lattice at different granulation

Prem Kumar Singh
Three way n valued neutrosophic concept lattice at different granulation Book PDF

Author : Prem Kumar Singh
Publisher : Infinite Study
Page : 19 pages
File Size : 48,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Three-way n-valued neutrosophic concept lattice at different granulation by Prem Kumar Singh Pdf

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.

International Journal of Neutrosophic Science (IJNS) Volume 11, 2020

Broumi Said,Florentin Smarandache
International Journal of Neutrosophic Science IJNS Volume 11 2020 Book PDF

Author : Broumi Said,Florentin Smarandache
Publisher : Infinite Study
Page : 114 pages
File Size : 48,6 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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International Journal of Neutrosophic Science (IJNS) Volume 11, 2020 by Broumi Said,Florentin Smarandache Pdf

International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. Papers concern with neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributions to economics, finance, management, industries, electronics, and communications are promoted.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I

Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Algebraic Structures of Neutrosophic Triplets Neutrosophic Duplets or Neutrosophic Multisets Volume I Book PDF

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : Infinite Study
Page : 480 pages
File Size : 51,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 9783038973850

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Algebraic Structures of Neutrosophic Triplets Neutrosophic Duplets or Neutrosophic Multisets Book PDF

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : MDPI
Page : 478 pages
File Size : 43,7 Mb
Release : 2019-04-04
Category : Mathematics
ISBN : 9783038973843

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Merger and Acquisition Target Selection Based on Interval Neutrosophic Multigranulation Rough Sets over Two Universes

Chao Zhang , Deyu Li , Arun Kumar Sangaiah , Said Broumi
Merger and Acquisition Target Selection Based on Interval Neutrosophic Multigranulation Rough Sets over Two Universes Book PDF

Author : Chao Zhang , Deyu Li , Arun Kumar Sangaiah , Said Broumi
Publisher : Infinite Study
Page : 20 pages
File Size : 53,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Merger and Acquisition Target Selection Based on Interval Neutrosophic Multigranulation Rough Sets over Two Universes by Chao Zhang , Deyu Li , Arun Kumar Sangaiah , Said Broumi Pdf

As a significant business activity, merger and acquisition (M&A) generally means transactions in which the ownership of companies, other business organizations or their operating unitsaretransferredorcombined.

New Single-Valued Neutrosophic Rough Sets and Related Topology

Qiu Jin,Kai Hu, Chunxin Bo,Lingqiang Li
New Single Valued Neutrosophic Rough Sets and Related Topology Book PDF

Author : Qiu Jin,Kai Hu, Chunxin Bo,Lingqiang Li
Publisher : Infinite Study
Page : 14 pages
File Size : 51,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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New Single-Valued Neutrosophic Rough Sets and Related Topology by Qiu Jin,Kai Hu, Chunxin Bo,Lingqiang Li Pdf

(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.