Generalizations Of Fuzzy Information Measures
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| Author | : Anshu Ohlan |
| Publisher | : Springer |
| Total Pages | : 151 |
| Release | : 2016-10-20 |
| Genre | : Computers |
| ISBN | : 3319459287 |
This book develops applications of novel generalizations of fuzzy information measures in the field of pattern recognition, medical diagnosis, multi-criteria and multi-attribute decision making and suitability in linguistic variables. The focus of this presentation lies on introducing consistently strong and efficient generalizations of information and information-theoretic divergence measures in fuzzy and intuitionistic fuzzy environment covering different practical examples. The target audience comprises primarily researchers and practitioners in the involved fields but the book may also be beneficial for graduate students.
| Author | : Zhenyuan Wang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 392 |
| Release | : 2010-07-07 |
| Genre | : Mathematics |
| ISBN | : 0387768521 |
Generalized Measure Theory examines the relatively new mathematical area of generalized measure theory. The exposition unfolds systematically, beginning with preliminaries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and the associated integration theory. The latter involves several types of integrals: Sugeno integrals, Choquet integrals, pan-integrals, and lower and upper integrals. All of the topics are motivated by numerous examples, culminating in a final chapter on applications of generalized measure theory. Some key features of the book include: many exercises at the end of each chapter along with relevant historical and bibliographical notes, an extensive bibliography, and name and subject indices. The work is suitable for a classroom setting at the graduate level in courses or seminars in applied mathematics, computer science, engineering, and some areas of science. A sound background in mathematical analysis is required. Since the book contains many original results by the authors, it will also appeal to researchers working in the emerging area of generalized measure theory.
| Author | : Naokant Deo |
| Publisher | : Springer Nature |
| Total Pages | : 264 |
| Release | : 2020-03-11 |
| Genre | : Mathematics |
| ISBN | : 9811511578 |
This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23–25 October 2018. Divided into two volumes, it discusses major topics in mathematical analysis and its applications, and demonstrates the versatility and inherent beauty of analysis. It also shows the use of analytical techniques to solve problems and, wherever possible, derive their numerical solutions. This volume addresses major topics, such as multi-objective optimization problems, impulsive differential equations, mathematical modelling, fuzzy mathematics, graph theory, and coding theory. It is a valuable resource to students as well as researchers in mathematical sciences.
| Author | : Manu Banga |
| Publisher | : GRIN Verlag |
| Total Pages | : 137 |
| Release | : 2022-10-07 |
| Genre | : Mathematics |
| ISBN | : 3346738361 |
Document in the subject Mathematics - General, Basics, , language: English, abstract: Chapter 1: In this chapter a brief literature survey on measures of entropy and divergence measures is presented. It also outlines the basic concepts of fuzzy sets. A brief review on fuzzy information measures and fuzzy directed divergence are given here. The concept of multiple criteria decision making problem is also presented. In addition, a general overview of coding theory is given and summarizes the objectives with an overview of the work reported in later chapters. Chapter 2: In Chapter 2 after reviewing some literature on measures of information for fuzzy sets, a new generalized fuzzy information measure involving two parameters of order α and type β has been introduced. The necessary properties of the proposed measure have been verified. Further, the monotonic nature of generalized fuzzy information measure with respect to the parameters is studied and the validity of the same is verified by constructing the computed tables and plots on taking different values of the parameters. Chapter 3: Divergence is an important measure in information theory as well as in fuzzy set theory which has widely used by researchers in many application areas. Generalized divergence measures provide flexibility to the users and enhance their applicability range. This chapter proposes a new generalized fuzzy divergence measure. It may be remarked that the strength of a measure lies in its properties. The new measure has important properties proved in this chapter to enhance the employability of this measure. Special cases are also discussed for providing particular results. Chapter 3 deals with the introduction of a new generalized measure of fuzzy directed divergence involving two real parameters. The proposed measure satisfies all the necessary properties of being a measure. Some additional properties of the proposed measure have also been studied. Further, the monotonic nature of generalized fuzzy directed divergence measure with respect to the parameters is studied and validity of the same is checked by constructing the computed tables and plots on taking different fuzzy sets and different values of the parameters. Corresponding measures of total ambiguity and fuzzy information improvement have also been defined and studied.
| Author | : Rana Muhammad Zulqarnain |
| Publisher | : Infinite Study |
| Total Pages | : 30 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The aim of this paper is to propose the generalized version of the multipolar neutrosophic soft set with operations and basic properties. Here, we define the AND, OR, Truth-Favorite, and False-Favorite operators along with their properties. Also, we define the necessity and possibility of operations for them. Later on, to extend it to solve the decision-making problems, we define some information measures such as distance, similarity, and correlation coefficient for the generalized multipolar neutrosophic soft set. Several desirable properties and their relationship between them are derived. Finally, based on these information measures, a decision-making algorithm is stated under the neutrosophic environment to tackle the uncertain and vague information.
| Author | : Ankita Bansal |
| Publisher | : CRC Press |
| Total Pages | : 620 |
| Release | : 2020-09-27 |
| Genre | : Computers |
| ISBN | : 100019194X |
Computational Intelligence Techniques and Their Applications to Software Engineering Problems focuses on computational intelligence approaches as applicable in varied areas of software engineering such as software requirement prioritization, cost estimation, reliability assessment, defect prediction, maintainability and quality prediction, size estimation, vulnerability prediction, test case selection and prioritization, and much more. The concepts of expert systems, case-based reasoning, fuzzy logic, genetic algorithms, swarm computing, and rough sets are introduced with their applications in software engineering. The field of knowledge discovery is explored using neural networks and data mining techniques by determining the underlying and hidden patterns in software data sets. Aimed at graduate students and researchers in computer science engineering, software engineering, information technology, this book: Covers various aspects of in-depth solutions of software engineering problems using computational intelligence techniques Discusses the latest evolutionary approaches to preliminary theory of different solve optimization problems under software engineering domain Covers heuristic as well as meta-heuristic algorithms designed to provide better and optimized solutions Illustrates applications including software requirement prioritization, software cost estimation, reliability assessment, software defect prediction, and more Highlights swarm intelligence-based optimization solutions for software testing and reliability problems
| Author | : Etienne E. Kerre |
| Publisher | : MDPI |
| Total Pages | : 287 |
| Release | : 2018-11-28 |
| Genre | : Mathematics |
| ISBN | : 303897322X |
This book is a printed edition of the Special Issue "Fuzzy Mathematics" that was published in Mathematics
| Author | : Tarun K. Sharma |
| Publisher | : Springer Nature |
| Total Pages | : 734 |
| Release | : 2021-07-30 |
| Genre | : Technology & Engineering |
| ISBN | : 9811617406 |
This book focuses on soft computing and how it can be applied to solve real-world problems arising in various domains, ranging from medicine and healthcare, to supply chain management, image processing and cryptanalysis. It gathers high-quality papers presented at the International Conference on Soft Computing: Theories and Applications (SoCTA 2020), organized online. The book is divided into two volumes and offers valuable insights into soft computing for teachers and researchers alike; the book will inspire further research in this dynamic field.
| Author | : Cengiz Kahraman |
| Publisher | : Springer Nature |
| Total Pages | : 954 |
| Release | : 2021-08-23 |
| Genre | : Technology & Engineering |
| ISBN | : 3030856267 |
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.
| Author | : Wang, John |
| Publisher | : IGI Global |
| Total Pages | : 3296 |
| Release | : 2023-01-20 |
| Genre | : Computers |
| ISBN | : 1799892212 |
Big data and machine learning are driving the Fourth Industrial Revolution. With the age of big data upon us, we risk drowning in a flood of digital data. Big data has now become a critical part of both the business world and daily life, as the synthesis and synergy of machine learning and big data has enormous potential. Big data and machine learning are projected to not only maximize citizen wealth, but also promote societal health. As big data continues to evolve and the demand for professionals in the field increases, access to the most current information about the concepts, issues, trends, and technologies in this interdisciplinary area is needed. The Encyclopedia of Data Science and Machine Learning examines current, state-of-the-art research in the areas of data science, machine learning, data mining, and more. It provides an international forum for experts within these fields to advance the knowledge and practice in all facets of big data and machine learning, emphasizing emerging theories, principals, models, processes, and applications to inspire and circulate innovative findings into research, business, and communities. Covering topics such as benefit management, recommendation system analysis, and global software development, this expansive reference provides a dynamic resource for data scientists, data analysts, computer scientists, technical managers, corporate executives, students and educators of higher education, government officials, researchers, and academicians.
