This book is composed of selected papers presented at IWIFSGN'2019―The Eighteenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets―held on October 24–25, 2019, in Warsaw, Poland, which is one of the main conferences on fuzzy logic, notably on extensions of the traditional fuzzy sets, in particular on the intuitionistic fuzzy sets. A considerable part of the conference sessions is also concerned with recent developments and challenges in the theory and applications of other topics exemplified by uncertainty, incompleteness and imprecision modeling, the Generalized Nets (GNs), a powerful extension of the traditional Petri net paradigm, and the InterCriteria Analysis, a new method for the feature selection and analyses in multicriteria and multiattribute decision-making problems. Some more general problems of computational and artificial intelligence, exemplified by evolutionary computations, machine learning, etc., are also dealt with. The papers included yield a good perspective on all of these important issues and problems.
Author(s): Krassimir T. Atanassov, Vassia Atanassova, Janusz Kacprzyk, Andrzej Kałuszko, Maciej Krawczak, Jan W. Owsiński, Sotir S. Sotirov, Evdokia Sotirova, Eulalia Szmidt, Sławomir Zadrożny
Series: Advances in Intelligent Systems and Computing, 1308
Publisher: Springer
Year: 2021
Language: English
Pages: 339
City: Cham
Preface
Contents
Issues in the Representation, Processing and Analyses of Uncertain Information
Intuitionistic Fuzzy Temporal-Modal Operators
1 Introduction
2 Preliminary Remarks
3 Definitions of the Intuitionistic Fuzzy Implications 139, ..., 185 over Intuitionistic Fuzzy Sets
4 Intuitionistic Fuzzy Temporal-Modal Operators ``Necessity'' and ``Possibility''
5 Conclusion
References
In Direction of Intuitionistic Fuzzy Arithmetic
1 Introduction
2 Intuitionistic Fuzzy Set and Type 2 Fuzzy Set
3 Alternative Definition of the Fuzzy Set Type 2
4 Conclusions
References
A New Approach for an Intuitionistic Fuzzy Sugeno Integral Using Morphological Gradient Edge Detector
1 Introduction
2 Sugeno Measures and Fuzzy Integrals
2.1 Monotonic Measures
2.2 Sugeno Measure
2.3 Sugeno Integral
3 Sugeno Integral with Intuitionistic Fuzzy Sets
3.1 Intuitionistic Fuzzy Set
3.2 Sugeno Integral with Intuitionistic Fuzzy Set
3.3 Intuitionistic Fuzzy Sugeno Integral Using πA = 0.4
4 Edge Detection
5 Simulation Results
6 Conclusion
References
M-Probabilistic Versions of the Strong Law of Large Numbers
1 Introduction
2 Selected Elements of M-Probability Theory
3 M-Probabilistic Versions of the Strong Law of Large Numbers
4 An Illustrative Example
5 Conclusions
References
Intuitionistic Fuzzy Probability and Almost Everywhere Convergence
1 Introduction
2 IF-Event, IF-Probability, IF-State and IF-Observable
3 Product Operation, Joint IF-Observable and Function of Several IF-Observables
4 Lower and Upper Limits, m-Almost Everywhere Convergence
5 P-Almost Everywhere Convergence
6 Conclusion
References
Classification of Images by Using Distance Functions Defined on Intuitionistic Fuzzy Sets
1 Introduction
2 Intuitionistic Fuzzy Sets
3 Preparation of the Data
3.1 Pre-processing of the Images
3.2 Pre-processing of the Data
3.3 Classification of the Images
4 Experimental Results
5 Conclusions
References
A Study on Local Properties and Local Contrast in Fuzzy Setting
1 Introduction
2 Preliminaries
3 Local Contrast and Local Properties
4 Notes on Application
5 Conclusions
References
Note on the Zadeh's Extension Principle Based on Fuzzy Variable Approach
1 Introduction
2 Fuzzy Variables
2.1 Generalized Measure Theory
2.2 From Possibility Measures to Fuzzy Sets
2.3 Non-interacting Sets
2.4 Extension Principles
3 Conclusions
References
OFNBee Method Applied for Solution of Problems with Multiple Extremes
1 Introduction
2 OFN Ordered Fuzzy Numbers
3 Test Functions
4 Results
5 Conclusions
References
Imprecision Indexes of Oriented Fuzzy Numbers
1 Introduction
2 Oriented Fuzzy Numbers – Basic Facts
3 Evaluation of Imprecision for Oriented Fuzzy Numbers
4 Imprecision Evaluation for Trapezoidal Oriented Fuzzy Numbers
5 Portfolio Diversification
6 Final Remarks
References
Detailed Evaluation of Fuzzy Sets in Rule Conditions as a Key for Accurate and Explainable Rule-Based Systems
1 Introduction
2 Methods
2.1 Design of Fuzzy Membership Functions
2.2 Evaluation of Fuzzy Membership Functions
2.3 Fuzzy Rules Design and Fuzzy Belief Measure Calculation
3 Experiments
4 Discussion and Conclusions
References
Tests for Estimates of the Tolerance Relation Based on Pairwise Comparisons in Binary and Multivalent Form
1 Introduction
2 Estimation Problem, Form of Estimators and Their Properties for Binary Comparisons
2.1 Estimation Problem for Binary Comparisons
2.2 The Form of Estimator and Its Properties
3 Tests for Verification of an Estimate of Tolerance Relation for Binary Comparisons
4 Estimation Problem, Form of Estimators and Their Properties for Multivalent Comparisons
4.1 Estimation Problem for Multivalent Comparisons
4.2 The Form of Estimator and Its Properties
5 Tests for Verification of an Estimate of Tolerance Relation for Multivalent Comparisons
6 Summary and Conclusions
References
Applications in Healthcare, Medicine, and Sports
Opportunity for Obtaining an Intuitionistic Fuzzy Estimation for Health-Related Quality of Life Data
1 Introduction
2 Multi Layer Perceptron
3 Discussion
4 Conclusion
References
InterCriteria Analysis of the Blood Group Distribution of Patients of Saint Anna Hospital in 2015–2019
1 Introduction
2 Input Data
3 Application of the InterCriteria Analysis – Results and Discussion
4 Conclusion
References
Application of the InterCriteria Analysis Method to a Data of Malignant Melanoma Disease for the Burgas Region for 2014–2018
1 Introduction
2 An Application of the ICA
2.1 Applying ICA Approach for International Statistical Classification of Diseases and Health Problems Group for Malignant Melanoma of Skin
2.2 Applying ICA Approach for Marital Status and Gender Data
3 Discussions
4 Conclusion
References
A Generalized Net Model of the Abdominal Aorta and Its Branches as a Part of the Vascular System
1 Introduction
2 A Generalized Net Model of the Abdominal Aorta and Its Branches as a Part of the Vascular System
3 Conclusion
References
A Generalized Net Model of the Human Body Excretory System
1 Introduction
2 The Generalized Net Model
3 Conclusion
References
Clustering of InterCriteria Analysis Data Using a Malignant Neoplasms of the Digestive Organs Data
1 Introduction
2 InterCriteria Analysis
3 Self Organizing Map Neural Networks
4 Testing with Data for Malignant Neoplasms of the Digestive Organs Data
5 Conclusion
References
Fuzzy-Based Algorithm for QRS Detection
1 Introduction
2 Overview of Algorithm
2.1 The Preprocessing Stage
2.2 Estimation of the Amplitude Threshold with Fuzzy c-Median Clustering Method
3 Numerical Experiment and Results
3.1 Data
3.2 Results
4 Conclusion
References
Influence of the Indoor Hockey “Push & Flick” Methodology on the Ball Speed During the Penalty Corner Shooting
1 Introduction
2 Methodology
3 InterCriteria Analysis Background
4 Results and Discussion from the Study on the Speed of the Ball When Executing a Penalty Corner Using Flick
4.1 Variation Analysis of the Speed of the Ball When Executing a Penalty Corner in Goal-Scoring Areas
4.2 InterCriteria Analysis of the Speed of the Ball When Executing a Penalty Corner in Goal-Scoring Areas
5 Conclusion
References
InterCriteria Analysis of Data Obtained from University Students Practicing Sports Activities
1 Introduction
2 Presentation of the Input Data
3 Application of the InterCriteria Analysis
4 Conclusions
References
Applications in Industry, Business and Critical Infrastructure
Forest Fire Analysis Based on InterCriteria Analysis
1 Introduction
2 Forest Fires Data
3 Methods Theoretical Background
3.1 Methodology of Lubenov
4 InterCriteria Analysis
5 Results and Discussion
6 Conclusion
References
Generalized Net Model of Overall Telecommunication System with Queuing
1 Introduction
2 Classical Conceptual Model of Overall Telecommunication System
2.1 Base Virtual Devices Representation and Their Parameters
2.2 Types and Names of the Base Virtual Devices
2.3 Comprise Virtual Devices
3 Generalized Net Model of Overall Telecommunication System with Queuing
3.1 Generalized Net Model of the Dialing Stage
3.2 Generalized Net Model of the Switching Stage
3.3 Generalized Net Model of the Ringing Stage
3.4 Generalized Net Model of the Communication Stage
4 Analytical Modeling of the Overall Telecommunication System Using the GN Model
4.1 Static and Dynamic Parameters of the Model
4.2 Main Assumptions
4.3 Equation for the Traffic Intensity of the Called Terminals
5 Conclusions
References
Generalized Net Model of Information Security Activities in the Automated Information Systems
1 Introduction
2 Generalized Net Model of Information Security Activities in Automated Information Systems
3 Conclusion
References
Use of OFN in the Short-Term Prediction of Exchange Rates
1 Introduction
2 Exchange Rates and Currency Markets
3 Fuzzy Observation of the Exchange Rate of Euro in Relation to USD
4 Formalizing the Description of Fuzzy Observation
5 Conclusion
References
Ordered Fuzzy Numbers for IoT Smart Home Solution
1 Introduction
2 The Idea of IoT and Intelligent - Smart Homes
3 Ordered Fuzzy Numbers for Smart Home Heating and Cooling System
4 The Real Test of Proposed Method
5 Conclusion
References
When Two-Constraint Binary Knapsack Problem is Equivalent to Classical Knapsack Problem?
1 Introduction
2 Definitions
3 Lagrange and Dual Estimations
4 Probabilistic Analysis
5 Concluding Remarks
References
Author Index
