Imprecision and Uncertainty in Information Representation and Processing: New Tools Based on Intuitionistic Fuzzy Sets and Generalized Nets

✍ Scribed by Plamen Angelov, Sotir Sotirov (eds.)

• Publisher: Springer International Publishing
• Year: 2016
• Tongue: English
• Leaves: 405
• Series: Studies in Fuzziness and Soft Computing 332
• Edition: 1
• Category: Library

✦ Synopsis

The book offers a comprehensive and timely overview of advanced mathematical tools for both uncertainty analysis and modeling of parallel processes, with a special emphasis on intuitionistic fuzzy sets and generalized nets. The different chapters, written by active researchers in their respective areas, are structured to provide a coherent picture of this interdisciplinary yet still evolving field of science. They describe key tools and give practical insights into and research perspectives on the use of Atanassov's intuitionistic fuzzy sets and logic, and generalized nets for describing and dealing with uncertainty in different areas of science, technology and business, in a single, to date unique book. Here, readers find theoretical chapters, dealing with intuitionistic fuzzy operators, membership functions and algorithms, among other topics, as well as application-oriented chapters, reporting on the implementation of methods and relevant case studies in management science, the IT industry, medicine and/or education. With this book, the editors wish to pay homage to Professor Krassimir Todorov Atanassov for his pioneering work on both generalized nets and intuitionistic fuzzy set.

✦ Table of Contents

Front Matter....Pages i-xi
Front Matter....Pages 1-1
Fuzzy, Intuitionistic Fuzzy, What Next?....Pages 3-13
Intuitionistic Fuzzy Logic and Provisional Acceptance of Scientific Theories: A Tribute to Krassimir Atanassov on the Occasion of His Sixtieth Birthday....Pages 15-23
Front Matter....Pages 25-25
On the Atanassov Concept of Fuzziness and One of Its Modification....Pages 27-40
Intuitionistic Fuzzy Inclusion Indicator of Intuitionistic Fuzzy Sets....Pages 41-53
One, Two and Uni-type Operators on IFSs....Pages 55-71
Intuitionistic Fuzzy Weakly Open Mappings....Pages 73-85
Is ‘Fuzzy Theory’ An Appropriate Tool for Large Size Decision Problems?....Pages 87-91
Properties and Applications of Pythagorean Fuzzy Sets....Pages 93-118
Additive Generators Based on Generalized Arithmetic Operators in Interval-Valued Fuzzy and Atanassov’s Intuitionistic Fuzzy Set Theory....Pages 119-136
On the TOPSIS-Class Methods in the Intuitionistic Fuzzy Environment....Pages 137-157
Intuitionistic Fuzzy Dependency Framework....Pages 159-175
Consistency and Consensus of Intuitionistic Fuzzy Preference Relations in Group Decision Making....Pages 177-187
Recognizing Imbalanced Classes by an Intuitionistic Fuzzy Classifier....Pages 189-206
IT Business Service-Level-Management—An Intuitionistic Fuzzy Approach....Pages 207-231
Front Matter....Pages 233-247
Modifications of the Algorithms for Transition Functioning in GNs, GNCP, IFGNCP1 and IFGNCP3 When Merging of Tokens is Permitted....Pages 249-271
Generalized Net Model for Monitoring the Degree of Disability in Patients With Multiple Sclerosis Based on Neurophysiologic Criteria....Pages 273-273
Generalized Net Models of Basic Genetic Algorithm Operators....Pages 275-288
Generalized Nets in Medicine: An Example of Telemedicine for People with Diabetes....Pages 289-303
Front Matter....Pages 305-325
Differential Evolution with Fuzzy Logic for Dynamic Adaptation of Parameters in Mathematical Function Optimization....Pages 327-357
Ensemble Neural Network with Type-1 and Type-2 Fuzzy Integration for Time Series Prediction and Its Optimization with PSO....Pages 359-359
A Generalized Net Model for Evaluation Process Using InterCriteria Analysis Method in the University....Pages 361-374
Ituitionistic Fuzzy Estimation of the Generalized Nets Model of Spatial-Temporal Group Scheduling Problems....Pages 375-388
....Pages 389-399

✦ Subjects

Computational Intelligence; Mathematical Applications in Computer Science; Operation Research/Decision Theory; Artificial Intelligence (incl. Robotics)