Last edited by Kahn
Tuesday, April 28, 2020 | History

4 edition of Intuitionistic fuzzy measures found in the catalog.

Intuitionistic fuzzy measures

theory and applications

by Adrian I. Ban

  • 18 Want to read
  • 40 Currently reading

Published by Nova Science Publishers in New York .
Written in English

    Subjects:
  • Intuitionistic mathematics.,
  • Fuzzy measure theory.,
  • Fuzzy sets.

  • Edition Notes

    Includes bibliographical references and index.

    StatementAdrian I. Ban.
    Classifications
    LC ClassificationsQA9.47 .B36 2006
    The Physical Object
    Paginationp. cm.
    ID Numbers
    Open LibraryOL3418390M
    ISBN 101594549117
    LC Control Number2005034745

    This paper analyzes the counterintuitive behaviors of adopted twelve distance-based similarity measures between intuitionistic fuzzy sets. Among these distance-based similarity measures, the largest number of components of the distance in the similarity measure is four. We propose six general counterintuitive test problems to analyze their counterintuitive by: 1.   This book offers a comprehensive and systematic review of the latest research findings in the area of intuitionistic fuzzy calculus. After introducing the intuitionistic fuzzy numbers’ operational laws and their geometrical and algebraic properties, the book defines the concept of intuitionistic fuzzy functions and presents the research on the derivative, differential, indefinite integral Brand: Springer International Publishing. This book offers an in-depth and comprehensive introduction to the priority methods of intuitionistic preference relations, the consistency and consensus improving procedures for intuitionistic preference relations, the approaches to group decision making based on intuitionistic preference relations, the approaches and models for interactive decision making with intuitionistic fuzzy.


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Intuitionistic fuzzy measures by Adrian I. Ban Download PDF EPUB FB2

Intuitionistic Fuzzy Measures: Theory and Applications. This book is the outcome of about eight years of work performed by the author largely in the field of intuitionistic fuzzy set theory and more in depth on intuitionistic fuzzy measures presented from a point of view characteristic for pure mathematics.

Buy Intuitionistic Fuzzy Information Aggregation: Theory and Applications on FREE SHIPPING on Intuitionistic fuzzy measures book orders Intuitionistic Fuzzy Information Aggregation: Theory and Applications: Xu, Zeshui, Cai, Xiaoqiang: : BooksCited by: Presently, intuitionistic fuzzy sets are an object of intensive research by scholars and scientists from over ten countries.

Intuitionistic fuzzy measures book This book is the first attempt for a more comprehensive and complete report on the intuitionistic fuzzy set theory and its more relevant applications in a variety of diverse fields.

Description: This book is the outcome of about eight years of work performed by the author largely in the field of intuitionistic fuzzy set theory and more in depth on intuitionistic fuzzy measures presented from a point of view characteristic for pure mathematics.

The purpose of the book is to present a continuation of studies conducted focusing mainly on measures that evaluate intuitionistic fuzzy sets by real values and crisp sets by intuitionistic fuzzy. The book offers a comprehensive survey of intuitionistic fuzzy logics.

By reporting on both the author’s research and others’ findings, it provides readers with a complete overview of the field and highlights key issues and open problems, thus suggesting new research directions. Starting with an. Presents the outcome of years of work performed by the author in the field of intuitionistic fuzzy set theory and on intuitionistic fuzzy measures presented from a point of view characteristic for This work focuses on measures that evaluate intuitionistic fuzzy sets by real values and sets by intuitionistic fuzzy values.

Fuzzy/Intuitionistic Fuzzy Measures and Fuzzy Integrals. Tamalika Chaira. Midnapore (West), West Bengal, India. Search for more papers by this author. Book Author(s): Tamalika Chaira. Midnapore (West), West Bengal, India. Search for more papers by this author. First published: 29 March   Then comes chapters looking at fuzzy operators; fuzzy similarity measures and measures of fuzziness; and fuzzy/intuitionistic fuzzy measures and fuzzy integrals.

The book also: discusses the definition and properties of fuzzy measures; examines matrices and determinants of a fuzzy matrix; and teaches about fuzzy linear equations.

This book is the outcome of about eight years of work performed by the author largely in the field of intuitionistic fuzzy set theory and more in depth on intuitionistic fuzzy measures presented from a point of view characteristic for pure : Adrian I.

Ban. IntuitionisticFuzzySetsPast,PresentandFuture sov CLBME-BulgarianAcademyofSciences,12,Sofia,Bulgaria e-mails:[email protected],[email protected] Size: KB. Non-monotonic fuzzy measures and intuitionistic fuzzy sets. Distances and Similarities in Intuitionistic Fuzzy Sets (Studies in Fuzziness and Soft Computing) [Eulalia Szmidt] on *FREE* shipping on qualifying offers.

This book presents the state-of-the-art in theory and practice regarding similarity and distance measures for intuitionistic fuzzy sets. Quantifying similarity and distances is crucial for many applicationsCited by: measures under intuitionistic fuzzy and interval-valued intu- itionistic fuzzy environment.

e rema ining of this paper is organized as follows: in Section, the possibility theory and. Intuitionistic fuzzy sets theory enjoys a special interest evidenced by the recent books. A similarity measure is used for estimating the degree Intuitionistic fuzzy measures book similarity between two by: This book introduces readers to the latest advances in and approaches to intuitionistic fuzzy decision-making methods.

To do so, it explores a range of applications to practical decision-making proble The Decision Making Method Based on the New Distance Measure and Similarity Measure. Zhinan Hao, Zeshui Xu, Hua Zhao. distance measures between intuitionistic fuzzy sets to intuitionistic fuzzy multisets since the later is the extension of the former.

We use a given example of IFMSs, in 𝑋 such that ⊆ ⊆ ; to verified whether the axioms of the definition of distance measure are satisfiedin the four distance measures.

In this book, readers will find discussions on some of the IFS extensions (for example, interval-values IFSs, temporal IFSs and others) and applications (e.g. intuitionistic fuzzy expert systems, intuitionistic fuzzy neural networks, intuitionistic fuzzy systems, intuitionistic fuzzy generalized nets, and other).

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. This book aims to be a comprehensive and accurate survey of state-of-art research on intuitionistic fuzzy sets theory and could be considered a continuation and extension of the authors previous book on Intuitionistic Fuzzy Sets, published by Springer in (Atanassov, Krassimir T., Intuitionistic Fuzzy Sets, Studies in Fuzziness and soft computing, ISBN).

Specifically, an intuitionistic fuzzy set is characterized by the two functions of modulus and argument. A new order relation, set-theoretic operations, and a new distance measure by the polar form of IFS-C are defined and investigated.

The applicability of the proposal is illustrated by a new decision-making model called P-distance by: 5.

Medical Image Processing: Advanced Fuzzy Set Theoretic Techniques deals with the application of intuitionistic fuzzy and Type II fuzzy set theories for medical image ed for graduate and doctorate students, this higher-level text: Provides a brief introduction to advanced fuzzy set theory, fuzzy and intuitionistic fuzzy aggregation operators, and distance and similarity measures.

Intuitionistic fuzzy set The first appearance of the concept of fuzzy logic came in when Zadeh published a paper entitled “Fuzzy Sets” in a journal named Information and Control [ 49 ]. Fuzzy logic, also expressed as the adaptation of mathematics to the real world, is based on by: 1.

Distance measure between intuitionistic fuzzy sets. The axiom definition of distance measure between intuitionistic fuzzy sets (IFSs) is introduced. Some distance measures are proposed and corresponding proofs are given. The relations between similarity measure and distance measure of IFSs are analyzed.

ranking of intuitionistic fuzzy numbers plays a vital role in intuitionistic fuzzy decision-making. In last few years, di erent methods for ranking IFNs have been introduced[[7]-[9],[10],[12],[23]]. Szmidt and kacpryzk introduced the hamming distance between intuitionistic fuzzy sets and proposed a similarity measure based on the distance[ Predominantly in the faltering atmosphere, the precise value of some factors is difficult to measure.

Though, it can be easily approximated by intuitionistic fuzzy linguistic term in the real-life world problem. To deal with such situations, in this. This book examines fuzzy and intuitionistic fuzzy mathematics and unifies the latest existing works in literature.

The book contains 10 chapters. Each chapter begins with an introduction, theory, and several examples to guide readers. Chapter 1 begins with the groundwork of fuzzy/intuitionistic fuzzy sets, fuzzy hedges, and fuzzy : Tamalika Chaira.

"Intuitionistic Fuzzy Information Aggregation: Theory and Applications" is the first book to provide a thorough and systematic introduction to intuitionistic fuzzy aggregation methods, the correlation, distance and similarity measures of intuitionistic fuzzy sets and various decision-making models and approaches based on the above-mentioned information processing tools.

Credibility measures in vague environments are to quantify the approximate chance of occurrence of fuzzy events. This paper presents a novel definition about credibility for intuitionistic fuzzy variables.

We axiomatize this credibility measure and to clarify, give some examples. Based on the notion of these concepts, we provide expected values, entropy, and general formulae for the central Cited by: 2.

Intuitionistic Fuzzy Number and Its Arithmetic Operation with Application on System Failure G.S. Mahapatra1,*, T.K. Roy2 1 Department of Mathematics, Siliguri Institute of Technology, P.O.- Sukna, Siliguri Darjeeling, West Bengal, India 2 Department of Mathematics, Bengal Engineering and Science University, ShibpurFile Size: KB.

This book offers a systematic introduction to the clustering algorithms for intuitionistic fuzzy values, the latest research results in intuitionistic fuzzy aggregation techniques, the extended results in interval-valued intuitionistic fuzzy environments, and their applications in multi-attribute decision making, such as supply chain management, military system performance evaluation, project Author: Zeshui Xu.

A novel intuitionistic fuzzy similarity measure based on double sequence by using modulus function with application in pattern recognition Mohd Shoaib Khan1*, Q. Danish Lohani1 and M. Mursaleen2 Abstract: In the field of pattern recognition, clustering is used to group the data into different clusters based on the similarity among them.

Intuitionistic Fuzzy Measures of Correlation Coefficient of Intuitionistic Fuzzy Numbers Under Weakest Triangular Norm: /IJFSA The correlation coefficient of variables has wide applications in statistics and is often calculated in crisp or fuzzy environment. This article extends theAuthor: Mohit Kumar.

This intuitionistic fuzzy divergence measure more flexible, easy approach in the application point of view due to the presence of the parameter.

Finally, the application of this newly developed generalized intuitionistic fuzzy divergence measure in multi-attribute decision making and also numerical example is given for : Om Parkash, Rakesh Kumar. springer, Intuitionistic Fuzzy Information Aggregation: Theory and Applications' is the first book to provide a thorough and systematic introduction to intuitionistic fuzzy aggregation methods, the correlation, distance and similarity measures of intuitionistic fuzzy sets and various decision-making models and approaches based on the above-mentioned information processing tools.

Intuitionistic fuzzy set (IFS) is a useful tool to deal with uncertainty and fuzziness of complex problems. In this paper, we propose a new distance measure between IFSs and prove some of its useful by: The objective of this paper is to introduce a distance measure for intuitionistic fuzzy numbers.

Firstly the existing distance measures for intuitionistic fuzzy sets are analyzed and compared with the help of some examples. Then the new distance measure for intuitionistic fuzzy numbers is proposed based on interval difference.

Also in particular the type of distance measure for triangle Cited by: Intuitionistic fuzzy set (IFS) was introduced by Atanassov, (), who extend the traditional Fuzzy Set (FS) theory to include a non-membership function (υ A (x)) to the ready existing membership function (μ A (x)) in the FS IFS which was developed mainly to address and solve problems that cannot be fully expressed with the FS theory, due to complexity and fuzziness in most.

A new knowledge measure with parameter of intuitionistic fuzzy sets (IFSs) is presented based on the membership degree and the non-membership degree of IFSs, which complies with the extended form of Szmidt-Kacprzyk axioms for intuitionistic fuzzy entropy.

And a sufficient and necessary condition of order property in the Szmidt-Kacprzyk axioms is : Zhenhua Zhang, Shenguo Yuan, Jing Zhang, Chao Ma, Jinhui Xu, Xiaolong Lin. In this section, we will propose the cosine similarity measure with hybrid intuitionistic fuzzy information (C HIFS) and some properties are also discussed.

Definition 5. Let A be fuzzy set (FS) in X ={ x 1, x 2,x n }, I and II be two subsets of the attribute set X, such that I ∪ II= X, I∩II= by: 3. Then comes chapters looking at fuzzy operators; fuzzy similarity measures and measures of fuzziness; and fuzzy/intuitionistic fuzzy measures and fuzzy integrals.

The book also: discusses the definition and properties of fuzzy measures; examines matrices and determinants of a fuzzy matrix; and teaches about fuzzy linear equations. Song Y.F., Wang X.D., A new similarity measure between intuitionistic fuzzy sets and the positive definiteness of the similarity matrix, Pattern Anal Applic 20 (), – [42] Montes I., Pal N.R., Janis V., Montes S., Divergence measures for intuitionistic fuzzy sets, IEEE Transactions on Fuzzy Systems 23(2) (), –Cited by: 3.[15] T.

Chaira, "Intuitionistic fuzzy set theory in medical imaging", International Journal of Soft computing and Engineering Issue-NCRAMT11, [16] T. Chaira and A.K. Ray, “A new measure using intuitionistic fuzzy set theory and its application to edge detection”, Elsevier Applied soft computing (2)  A novel clustering algorithm based on a new similarity measure over Intuitionistic fuzzy sets So, whenever we try to measure similarity between the IFSs using the various distance measures involving all the components of IFSs like membership value, non-membership value together with hesitation, then we often notice that all of them fails to.