A Further Study On Multiperiod Health Diagnostics Methodology Under A Single Valued Neutrosophic Set

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A Further Study on Multiperiod Health Diagnostics Methodology under a Single-Valued Neutrosophic Set

Author : Jason Chih-sheng Chou,Yi-Fong Lin,Scott Shu-Cheng Lin
Publisher : Infinite Study
Page : 11 pages
File Size : 53,6 Mb
Release : 2024-06-02
Category : Mathematics
ISBN : 8210379456XXX

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A Further Study on Multiperiod Health Diagnostics Methodology under a Single-Valued Neutrosophic Set by Jason Chih-sheng Chou,Yi-Fong Lin,Scott Shu-Cheng Lin Pdf

Employing the concept and function of tangency with similarity measures and counterpart distances for reliable medical consultations has been extensively studied in the past decades and results in lots of isomorphic measures for application. We compared the majority of such isomorphic measures proposed by various researchers and classified them into (a) maximum norm and (b) one-norm categories. Moreover, we found that previous researchers used monotonic functions to transform an identity function and resulted in complicated expressions. In this study, we provide a theoretical foundation to explain the isomorphic nature of a newer measure proposed by the following research paper against its studied existing one in deriving the same pattern recognition results. Specifically, this study initially proposes two similarity measures using maximum norm, arithmetic mean, and aggregation operators and followed by a detailed discussion on their mathematical characteristics. Subsequently, a simplified version of such measures is presented for easy application. This study completely covers two previous methods to point out that the complex approaches used were unnecessary. The findings will help physicians, patients, and their family members to obtain a proper medical diagnosis during multiple examinations.

Hybrid vector similarity measure of single valued refined neutrosophic sets to multi-attribute decision making problems

Author : Surapati Pramanik,Partha Pratim Dey,Bibhas C. Giri
Publisher : Infinite Study
Page : 19 pages
File Size : 46,8 Mb
Release : 2024-06-02
Category : Electronic
ISBN : 8210379456XXX

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Hybrid vector similarity measure of single valued refined neutrosophic sets to multi-attribute decision making problems by Surapati Pramanik,Partha Pratim Dey,Bibhas C. Giri Pdf

This paper proposes hybrid vector similarity measures under single valued refined neutrosophic sets and proves some of its basic properties. The proposed similarity measure is then applied for solving multiple attribute decision making problems. Lastly, a numerical example of medical diagnosis is given on the basis of the proposed hybrid similarity measures and the results are compared with the results of other existing methods to validate the applicability, simplicity and effectiveness of the proposed method.

Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics

Author : Florentin Smarandache,Muhammad Aslam
Publisher : Elsevier
Page : 495 pages
File Size : 42,7 Mb
Release : 2023-02-11
Category : Computers
ISBN : 9780323994576

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Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics by Florentin Smarandache,Muhammad Aslam Pdf

Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics investigates and presents the many applications that have arisen in the last ten years using neutrosophic statistics in bioinformatics, medicine, agriculture and cognitive science. This book will be very useful to the scientific community, appealing to audiences interested in fuzzy, vague concepts from which uncertain data are collected, including academic researchers, practicing engineers and graduate students. Neutrosophic statistics is a generalization of classical statistics. In classical statistics, the data is known, formed by crisp numbers. In comparison, data in neutrosophic statistics has some indeterminacy. This data may be ambiguous, vague, imprecise, incomplete, and even unknown. Neutrosophic statistics refers to a set of data, such that the data or a part of it are indeterminate in some degree, and to methods used to analyze the data. Introduces the field of neutrosophic statistics and how it can solve problems working with indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data Presents various applications of neutrosophic statistics in the fields of bioinformatics, medicine, cognitive science and agriculture Provides practical examples and definitions of neutrosophic statistics in relation to the various types of indeterminacies

New Trends in Neutrosophic Theory and Applications, Volume II

Author : Florentin Smarandache,Surapati Pramanik
Publisher : Infinite Study
Page : 461 pages
File Size : 52,7 Mb
Release : 2024-06-02
Category : Electronic
ISBN : 8210379456XXX

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New Trends in Neutrosophic Theory and Applications, Volume II by Florentin Smarandache,Surapati Pramanik Pdf

Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc.

Neutrosophic Sets and Systems

Author : Florentin Smarandache,Surapati Pramanik
Publisher : Infinite Study
Page : 143 pages
File Size : 44,6 Mb
Release : 2024-06-02
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems by Florentin Smarandache,Surapati Pramanik Pdf

“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.

Neutrosophic Sets and Systems

Author : Florentin Smarandache,Surapati Pramanik
Publisher : Infinite Study
Page : 143 pages
File Size : 43,7 Mb
Release : 2024-06-02
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems by Florentin Smarandache,Surapati Pramanik Pdf

“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.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018

Author : Florentin Smarandache,Surapati Pramanik
Publisher : Infinite Study
Page : 142 pages
File Size : 40,7 Mb
Release : 2024-06-02
Category : Mathematics
ISBN : 9781599735610

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Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 19 / 2018 by Florentin Smarandache,Surapati Pramanik Pdf

“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.

New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications

Author : Florentin Smarandache
Publisher : MDPI
Page : 714 pages
File Size : 40,9 Mb
Release : 2019-11-27
Category : Technology & Engineering
ISBN : 9783039219384

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New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications by Florentin Smarandache Pdf

This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 10 pages
File Size : 55,7 Mb
Release : 2010-08-23
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by Florentin Smarandache Pdf

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Hybrid Weighted Arithmetic and Geometric Aggregation Operator of Neutrosophic Cubic Sets for MADM

Author : Lilian Shi ,Yue Yuan
Publisher : Infinite Study
Page : 12 pages
File Size : 42,9 Mb
Release : 2024-06-02
Category : Mathematics
ISBN : 8210379456XXX

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Hybrid Weighted Arithmetic and Geometric Aggregation Operator of Neutrosophic Cubic Sets for MADM by Lilian Shi ,Yue Yuan Pdf

Neutrosophic cubic sets (NCSs) can express complex multi-attribute decision-making (MADM) problems with its interval and single-valued neutrosophic numbers simultaneously. The weighted arithmetic average (WAA) and geometric average (WGA) operators are common aggregation operators for handling MADM problems. However, the neutrosophic cubic weighted arithmetic average (NCWAA) and neutrosophic cubic geometric weighted average (NCWGA) operators may result in some unreasonable aggregated values in some cases. In order to overcome the drawbacks of the NCWAA and NCWGA, this paper developed a new neutrosophic cubic hybrid weighted arithmetic and geometric aggregation (NCHWAGA) operator and investigates its suitability and effectiveness. Then, we established a MADM method based on the NCHWAGA operator. Finally, a MADM problem with neutrosophic cubic information was provided to illustrate the application and effectiveness of the proposed method.

Online Visual Tracking ofWeighted Multiple Instance Learning via Neutrosophic Similarity-Based Objectness Estimation

Author : Keli Hu,Wei He,Jun Je,Liping Zhao ,Hua Peng,Jiatian Pi
Publisher : Infinite Study
Page : 24 pages
File Size : 53,9 Mb
Release : 2024-06-02
Category : Mathematics
ISBN : 8210379456XXX

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Online Visual Tracking ofWeighted Multiple Instance Learning via Neutrosophic Similarity-Based Objectness Estimation by Keli Hu,Wei He,Jun Je,Liping Zhao ,Hua Peng,Jiatian Pi Pdf

An online neutrosophic similarity-based objectness tracking with a weighted multiple instance learning algorithm (NeutWMIL) is proposed. Each training sample is extracted surrounding the object location, and the distribution of these samples is symmetric. To provide a more robust weight for each sample in the positive bag, the asymmetry of the importance of the samples is considered. The neutrosophic similarity-based objectness estimation with object properties (super straddling) is applied.

A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment

Author : Nancy,Harish Garg
Publisher : Infinite Study
Page : 15 pages
File Size : 54,5 Mb
Release : 2024-06-02
Category : Mathematics
ISBN : 8210379456XXX

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A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment by Nancy,Harish Garg Pdf

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.

Optimization of Financial Asset Neutrosophic Portfolios

Author : Marcel-Ioan Boloș,Ioana-Alexandra Bradea, Camelia Delcea
Publisher : Infinite Study
Page : 36 pages
File Size : 40,5 Mb
Release : 2024-06-02
Category : Mathematics
ISBN : 8210379456XXX

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Optimization of Financial Asset Neutrosophic Portfolios by Marcel-Ioan Boloș,Ioana-Alexandra Bradea, Camelia Delcea Pdf

The purpose of this paper was to model, with the help of neutrosophic fuzzy numbers, the optimal financial asset portfolios, offering additional information to those investing in the capital market. The optimal neutrosophic portfolios are those categories of portfolios consisting of two or more financial assets, modeled using neutrosophic triangular numbers, that allow for the determination of financial performance indicators, respectively the neutrosophic average, the neutrosophic risk, for each financial asset, and the neutrosophic covariance as well as the determination of the portfolio return, respectively of the portfolio risk.

Optimization Theory Based on Neutrosophic and Plithogenic Sets

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Academic Press
Page : 448 pages
File Size : 54,7 Mb
Release : 2020-01-14
Category : Mathematics
ISBN : 9780128199084

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Optimization Theory Based on Neutrosophic and Plithogenic Sets by Florentin Smarandache,Mohamed Abdel-Basset Pdf

Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic. All essential topics about neutrosophic optimization and Plithogenic sets make this volume the only single source of comprehensive information New and innovative theories help researchers solve problems under diverse optimization environments Varied applications address practitioner fields such as computational intelligence, image processing, medical diagnosis, fault diagnosis, and optimization design

Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation

Author : Cengiz Kahraman,Selcuk Cebi,Sezi Cevik Onar,Basar Oztaysi,A. Cagri Tolga,Irem Ucal Sari
Publisher : Springer Nature
Page : 899 pages
File Size : 50,9 Mb
Release : 2021-08-23
Category : Technology & Engineering
ISBN : 9783030855772

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Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation by Cengiz Kahraman,Selcuk Cebi,Sezi Cevik Onar,Basar Oztaysi,A. Cagri Tolga,Irem Ucal Sari Pdf

This book presents recent research in intelligent and fuzzy techniques. Emerging conditions such as pandemic, wars, natural disasters and various high technologies force people for significant changes in business and social life. The adoption of digital technologies to transform services or businesses, through replacing non-digital or manual processes with digital processes or replacing older digital technology with newer digital technologies through intelligent systems is the main scope of this book. It focuses on revealing the reflection of digital transformation in our business and social life under emerging conditions through intelligent and fuzzy systems. The latest intelligent and fuzzy methods and techniques on digital transformation are introduced by theory and applications. The intended readers are intelligent and fuzzy systems researchers, lecturers, M.Sc. and Ph.D. students studying digital transformation. Usage of ordinary fuzzy sets and their extensions, heuristics and metaheuristics from optimization to machine learning, from quality management to risk management makes the book an excellent source for researchers.