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Generalizations Of Fuzzy Information Measures


Generalizations Of Fuzzy Information Measures
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Generalizations Of Fuzzy Information Measures


Generalizations Of Fuzzy Information Measures
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Author : Anshu Ohlan
language : en
Publisher: Springer
Release Date : 2016-10-20

Generalizations Of Fuzzy Information Measures written by Anshu Ohlan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-20 with Computers categories.


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.



Information Coding Using Fuzzy Set Theory


Information Coding Using Fuzzy Set Theory
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Author : Manu Banga
language : en
Publisher:
Release Date : 2022-09-22

Information Coding Using Fuzzy Set Theory written by Manu Banga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-22 with categories.




Fuzzy Sets And Information


Fuzzy Sets And Information
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Author : Rakesh Bajaj
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2010-04

Fuzzy Sets And Information written by Rakesh Bajaj and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04 with categories.


Fuzzy set theory has capability to describe the uncertain situations, containing ambiguity and vagueness. Fuzziness is found in our decision, in our thinking, in the way we process information, and particularly in our language.The objective of the book is to study fuzzy mathematics with applications and to characterize new measures of fuzzy information with their various generalizations. The fuzzy information measure deals with vague and ambiguous uncertainties. Large number of measures of entropy, directed divergence and symmetric divergence for probability distributions are known. Analogously, there is a set of variety of measures for fuzzy sets available. Cross-entropy measure is also known as the information discrepancy between two probability distributions. Derived from cross-entropy, fuzzy directed divergence measures the dissimilarity between two fuzzy sets. Various generalized measures of fuzzy information have been introduced. The concept of useful' fuzzy information by attaching utility to the uncertainties of fuzziness and probabilities of randomness has been introduced.



Fuzzy Information Retrieval Based On A New Similarity Measure Of Generalized Fuzzy Numbers


Fuzzy Information Retrieval Based On A New Similarity Measure Of Generalized Fuzzy Numbers
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Author : 陳士杰 (資訊工程)
language : en
Publisher:
Release Date : 2011

Fuzzy Information Retrieval Based On A New Similarity Measure Of Generalized Fuzzy Numbers written by 陳士杰 (資訊工程) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.




Information Coding Using Fuzzy Set Theory


Information Coding Using Fuzzy Set Theory
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Author : Manu Banga
language : en
Publisher: GRIN Verlag
Release Date : 2022-10-07

Information Coding Using Fuzzy Set Theory written by Manu Banga and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-07 with Mathematics categories.


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.



Algorithms For A Generalized Multipolar Neutrosophic Soft Set With Information Measures To Solve Medical Diagnoses And Decision Making Problems


Algorithms For A Generalized Multipolar Neutrosophic Soft Set With Information Measures To Solve Medical Diagnoses And Decision Making Problems
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Author : Rana Muhammad Zulqarnain
language : en
Publisher: Infinite Study
Release Date :

Algorithms For A Generalized Multipolar Neutrosophic Soft Set With Information Measures To Solve Medical Diagnoses And Decision Making Problems written by Rana Muhammad Zulqarnain 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 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.



Computational Intelligence Techniques And Their Applications To Software Engineering Problems


Computational Intelligence Techniques And Their Applications To Software Engineering Problems
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Author : Ankita Bansal
language : en
Publisher: CRC Press
Release Date : 2020-09-27

Computational Intelligence Techniques And Their Applications To Software Engineering Problems written by Ankita Bansal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-27 with Computers categories.


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



Fuzzy Mathematics


Fuzzy Mathematics
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Author : Etienne E. Kerre
language : en
Publisher: MDPI
Release Date : 2018-11-28

Fuzzy Mathematics written by Etienne E. Kerre and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-28 with Electronic books categories.


This book is a printed edition of the Special Issue "Fuzzy Mathematics" that was published in Mathematics



Information Measures Of Intuitionistic Fuzzy Sets And Soft Sets


Information Measures Of Intuitionistic Fuzzy Sets And Soft Sets
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Author : Tanuj Kumar
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2015-07

Information Measures Of Intuitionistic Fuzzy Sets And Soft Sets written by Tanuj Kumar and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07 with categories.


This book provides some fundamental background of fuzzy set, intuitionistic fuzzy set, soft set and complex intuitionistic fuzzy set with their definitions and various properties. In addition to this, we have also presented applications of these theories in statistical regression analysis, decision making and reliability evaluation of a system along with a brief literature survey. Further, the study of new intuitionistic fuzzy information measures, similarity measures, fuzzy linear regression model, intuitionistic fuzzy reliability and complex intuitionistic fuzzy soft sets with their entropies have been presented. Computational applications of the given information measures in the field of pattern recognition and image thresholding has been well proposed with discussion.



The Consistency Between Cross Entropy And Distance Measures In Fuzzy Sets


The Consistency Between Cross Entropy And Distance Measures In Fuzzy Sets
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Author : Yameng Wang
language : en
Publisher: Infinite Study
Release Date :

The Consistency Between Cross Entropy And Distance Measures In Fuzzy Sets written by Yameng Wang 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 processing of uncertain information is increasingly becoming a hot topic in the artificial intelligence field, and the information measures of uncertainty information processing are also becoming of importance. In the process of decision-making, decision-makers make decisions mostly according to information measures such as similarity, distance, entropy, and cross-entropy in order to choose the best one. However, we found that many researchers apply cross-entropy to multi-attribute decision-making according to the minimum principle, which is in accordance with the principle of distance measures.