Fuzzy set and its extension : the intuitionistic fuzzy set

Fuzzy set and its extension : the intuitionistic fuzzy set /

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Bibliographic Details
Main Author: Chaira, Tamalika (Author)
Corporate Author: ProQuest (Firm)
Format: Electronic eBook
Language:English
Published: Hoboken, NJ : John Wiley & Sons, Inc., 2019.
Subjects:
Fuzzy sets.
Fuzzy numbers.
Set theory.
Approximation theory.
Online Access:Connect to this title online (unlimited simultaneous users allowed; 325 uses per year)

MARC

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100 1 |a Chaira, Tamalika,  |e author. 
245 1 0 |a Fuzzy set and its extension :  |b the intuitionistic fuzzy set /  |c Tamalika Chaira, Midnapore (West), West Bengal, India. 
264 1 |a Hoboken, NJ :  |b John Wiley & Sons, Inc.,  |c 2019. 
264 4 |c ©2019 
300 |a 1 online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b n  |2 rdamedia 
338 |a online resource  |b nc  |2 rdacarrier 
504 |a Includes bibliographical references and index. 
505 0 0 |a Machine generated contents note:   |g 1.  |t Fuzzy/Intuitionistic Fuzzy Set Theory --   |g 1.1.  |t Introduction to Fuzzy Set --   |g 1.2.  |t Mathematical Representation of Fuzzy Sets --   |g 1.3.  |t Membership Function --   |g 1.4.  |t Fuzzy Relations --   |g 1.5.  |t Projection --   |g 1.6.  |t Composition of Fuzzy Relation --   |g 1.7.  |t Fuzzy Binary Relation --   |g 1.8.  |t Transitive Closure of Fuzzy Binary Relation --   |g 1.9.  |t Fuzzy Equivalence Relation --   |g 1.10.  |t Intuitionistic Fuzzy Set --   |g 1.11.  |t Construction of Intuitionistic Fuzzy Set --   |g 1.12.  |t Intuitionistic Fuzzy Relations --   |g 1.13.  |t Composition of Intuitionistic Fuzzy Relation --   |g 1.13.1.  |t Composition of IFR Using T-norms and T-conorms --   |g 1.14.  |t Intuitionistic Fuzzy Binary Relation --   |g 1.14.1.  |t Reflexive Property --   |g 1.14.2.  |t Symmetric Property --   |g 1.14.3.  |t Transitive Property --   |g 1.15.  |t Summary --   |t References --   |g 2.  |t Playing with Fuzzy/Intuitionistic Fuzzy Numbers --   |g 2.1.  |t Introduction --   |g 2.2.  |t Fuzzy Numbers --   |g 2.3.  |t Fuzzy Intervals --   |g 2.4.  |t Zadeh's Extension Principle --   |g 2.4.1.  |t Extension Principle for Two Variables --   |g 2.5.  |t Fuzzy Numbers with a-Levels --   |g 2.6.  |t Operations on Fuzzy Numbers with Intervals --   |g 2.7.  |t Operations with Fuzzy Numbers based on a-Levels --   |g 2.8.  |t Operations on Fuzzy Numbers Using Extension Principle --   |g 2.8.1.  |t Operations --   |g 2.8.2.  |t Examples on Operations of Fuzzy Numbers Using Extension Principle --   |g 2.9.  |t L-R Representation of Fuzzy Numbers --   |g 2.10.  |t Intuitionistic Fuzzy Numbers --   |g 2.11.  |t Triangular Intuitionistic Fuzzy Number --   |g 2.12.  |t Operations Using Triangular Intuitionistic Fuzzy Numbers --   |g 2.13.  |t Trapezoidal Intuitionistic Fuzzy Numbers --   |g 2.14.  |t Cut Set of Intuitionistic Fuzzy Number --   |g 2.15.  |t Distances Between Two Intuitionistic Fuzzy Numbers --   |g 2.16.  |t Summary --   |t References --   |g 3.  |t Similarity Measures and Measures of Fuzziness --   |g 3.1.  |t Introduction --   |g 3.2.  |t Distance and Similarity Measures --   |g 3.2.1.  |t Distance Measure --   |g 3.2.2.  |t Similarity Measure --   |g 3.3.  |t Types of Distance Measure Between Fuzzy Sets --   |g 3.4.  |t Types of Similarity Measures Between Fuzzy Sets --   |g 3.5.  |t Generalized Fuzzy Number --   |g 3.6.  |t Similarity Measures Between Two Fuzzy Numbers --   |g 3.7.  |t Inclusion Measure --   |g 3.8.  |t Measures of Fuzziness --   |g 3.8.1.  |t Index of Fuzziness --   |g 3.8.2.  |t Yager's Measure --   |g 3.8.3.  |t Fuzzy Entropy --   |g 3.9.  |t Intuitionistic Fuzzy Distance and Similarity Measures --   |g 3.10.  |t Intuitionistic Fuzzy Entropy --   |g 3.11.  |t Different Types of Intuitionistic Fuzzy Entropies --   |g 3.12.  |t Summary --   |t References --   |g 4.  |t Fuzzy/Intuitionistic Fuzzy Measures and Fuzzy Integrals --   |g 4.1.  |t Introduction --   |g 4.2.  |t Definition of Fuzzy Measure --   |g 4.3.  |t Fuzzy Measures --   |g 4.3.1.  |t Sugeno A-Fuzzy Measure --   |g 4.3.2.  |t Belief Measure --   |g 4.3.3.  |t Plausibility Measure --   |g 4.3.4.  |t Possibility Measure and Necessity Measure --   |g 4.3.4.1.  |t Possibility Measure --   |g 4.3.4.2.  |t Necessity Measure --   |g 4.4.  |t Fuzzy Integrals --   |g 4.4.1.  |t Sugeno Integral --   |g 4.4.2.  |t Choquet Integral --   |g 4.4.3.  |t Sipos Integral --   |g 4.5.  |t Intuitionistic Fuzzy Integral --   |g 4.5.1.  |t Intuitionistic Fuzzy Choquet Integral --   |g 4.6.  |t Summary --   |t References --   |g 5.  |t Operations on Fuzzy/Intuitionistic Fuzzy Sets and Application in Decision Making --   |g 5.1.  |t Introduction --   |g 5.2.  |t Fuzzy Operations --   |g 5.2.1.  |t Fuzzy Union --   |g 5.2.2.  |t Fuzzy Intersection --   |g 5.2.3.  |t Fuzzy Complements --   |g 5.2.4.  |t Algebraic Product --   |g 5.2.5.  |t Algebraic Sum --   |g 5.2.6.  |t Simple Difference --   |g 5.2.7.  |t Bounded Sum --   |g 5.2.8.  |t Bounded Difference --   |g 5.2.9.  |t Bounded Product --   |g 5.3.  |t Fuzzy Other Operators: Fuzzy T-Norms and T-Conorms --   |g 5.3.1.  |t Definition of T-Norm --   |g 5.3.2.  |t Definition of T-Conorm --   |g 5.4.  |t Implication Operator --   |g 5.5.  |t Aggregation Operator with Application in Decision Making --   |g 5.5.1.  |t Fuzzy Weighted Averaging Operator (FWA) --   |g 5.5.2.  |t Fuzzy Ordered Weighted Averaging Operator (FOWA) --   |g 5.5.3.  |t Fuzzy Generalized Ordered Weighted Averaging Operator (GOWA) --   |g 5.5.4.  |t Fuzzy Hybrid Averaging Operator (FHA) --   |g 5.5.5.  |t Fuzzy Quasi-Arithmetic Weighted Averaging Operator --   |g 5.5.6.  |t Induced Generalized Fuzzy Averaging Operator (IGOWA) --   |g 5.5.7.  |t Choquet Aggregation Operator --   |g 5.5.8.  |t Induced Choquet Ordered Aggregation Operator --   |g 5.6.  |t Intuitionistic Fuzzy Operators --   |g 5.7.  |t Intuitionistic Fuzzy Aggregation Operator --   |g 5.7.1.  |t Generalized Intuitionistic Fuzzy Aggregation Operator --   |g 5.7.2.  |t Generalized Intuitionistic Fuzzy Ordered Weighting Operator (GIFOWA) --   |g 5.7.3.  |t Generalized Intuitionistic Fuzzy Hybrid Operator --   |g 5.7.4.  |t Intuitionistic Fuzzy Weighted Geometric Operator (IFWG) --   |g 5.7.5.  |t Intuitionistic Fuzzy Ordered Weighted Geometric Operator --   |g 5.7.6.  |t Induced Generalized Intuitionistic Fuzzy Ordered Averaging Operator --   |g 5.7.7.  |t Intuitionistic Fuzzy Choquet Integral Operator --   |g 5.7.8.  |t Induced Intuitionistic Fuzzy Choquet Integral Operator --   |g 5.8.  |t Example on Decision-making Problems --   |g 5.9.  |t Summary --   |t References --   |g 6.  |t Fuzzy Linear Equations --   |g 6.1.  |t Introduction --   |g 6.2.  |t Fuzzy Linear Equation --   |g 6.2.1.  |t Problem of Finding an Unknown Number --   |g 6.3.  |t Solving Linear Equation Using Cramer's Rule --   |g 6.4.  |t Inverse of a Fuzzy Matrix --   |g 6.5.  |t Summary --   |t References --   |g 7.  |t Fuzzy Matrices and Determinants --   |g 7.1.  |t Basic Matrix Theory --   |g 7.1.1.  |t Matrix Addition --   |g 7.1.2.  |t Matrix Multiplication --   |g 7.1.3.  |t Transpose of a Matrix --   |g 7.2.  |t Fuzzy Matrices --   |g 7.2.1.  |t Matrix Addition, Multiplication, Max, Min Operations --   |g 7.2.2.  |t Identity Matrix --   |g 7.3.  |t Determinant of a Square Fuzzy Matrix --   |g 7.3.1.  |t Examples of Fuzzy Determinants --   |g 7.4.  |t Adjoint of a Square Fuzzy Matrix --   |g 7.4.1.  |t Few Proposition of Adjoint of Fuzzy Matrices --   |g 7.5.  |t Properties of Reflexive Matrices --   |g 7.6.  |t Generalized Inverse of a Fuzzy Matrix --   |g 7.7.  |t Intuitionistic Fuzzy Matrix --   |g 7.7.1.  |t Identity Matrix --   |g 7.7.2.  |t Null Matrix --   |g 7.7.3.  |t Generalized Inverse of Intuitionistic Fuzzy Matrix --   |g 7.8.  |t Summary --   |t References --   |g 8.  |t Fuzzy Subgroups --   |g 8.1.  |t Introduction --   |g 8.2.  |t Theorems of Fuzzy Subgroup --   |g 8.3.  |t Fuzzy-level Subgroup --   |g 8.4.  |t Fuzzy Normal Subgroup --   |g 8.5.  |t Fuzzy Subgroups Using T-norms --   |g 8.6.  |t Product of Fuzzy Subgroups --   |g 8.7.  |t Summary --   |t References --   |g 9.  |t Application of Fuzzy/Intuitionistic Fuzzy Set In Image Processing --   |g 9.1.  |t Introduction --   |g 9.2.  |t Digital Images --   |g 9.3.  |t Image Enhancement --   |g 9.3.1.  |t Fuzzy Enhancement Method --   |g 9.3.2.  |t Intuitionistic Fuzzy Enhancement Method --   |g 9.4.  |t Thresholding --   |g 9.4.1.  |t Intuitionistic Fuzzy Thresholding Method --   |g 9.4.2.  |t Fuzzy Thresholding Method --   |g 9.5.  |t Edge Detection --   |g 9.5.1.  |t Fuzzy Edge-detection Method --   |g 9.5.2.  |t Intuitionistic Fuzzy Edge Detection --   |g 9.6.  |t Clustering --   |g 9.6.1.  |t Fuzzy c Means Clustering (FCM) --   |g 9.6.2.  |t Intuitionistic Fuzzy Clustering --   |g 9.6.3.  |t Kernel Clustering --   |g 9.7.  |t Mathematical Morphology --   |g 9.7.1.  |t Fuzzy Approach --   |g 9.7.2.  |t Intuitionistic Fuzzy Approach --   |g 9.8.  |t Summary --   |t References --   |g 10.  |t Type-2 Fuzzy Set --   |g 10.1.  |t Introduction --   |g 10.2.  |t Type-2 Fuzzy Set --   |g 10.3.  |t Operations on Type-2 Fuzzy Set --   |g 10.4.  |t Inclusion Measure and Similarity Measure --   |g 10.4.1.  |t Similarity Measure --   |g 10.5.  |t Interval Type-2 Fuzzy Set --   |g 10.6.  |t Application of Interval Type-2 Fuzzy Set in Image Segmentation --   |g 10.7.  |t Summary --   |t References. 
533 |a Electronic reproduction.  |b Ann Arbor, MI  |n Available via World Wide Web. 
588 |a Description based on online resource; title from digital title page (viewed on April 25, 2019). 
650 0 |a Fuzzy sets. 
650 0 |a Fuzzy numbers. 
650 0 |a Set theory. 
650 0 |a Approximation theory. 
710 2 |a ProQuest (Firm) 
776 0 8 |i Print version:  |a Chaira, Tamalika, author.  |t Fuzzy set and its extension  |b First edition.  |d Hoboken, NJ, USA : Wiley, 2019  |z 9781119544197  |w (DLC) 2019011921 
856 4 0 |u https://ebookcentral.proquest.com/lib/santaclara/detail.action?docID=5741231  |z Connect to this title online (unlimited simultaneous users allowed; 325 uses per year)  |t 0 
907 |a .b32645004  |b 200401  |c 190429 
998 |a uww  |b    |c m  |d z   |e l  |f eng  |g nju  |h 0 
917 |a YBP DDA 
919 |a .ulebk  |b 2017-02-14 
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