Set theory

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Set theory is the branch of mathematics that studies sets, which are collections of objects. (Wikipedia.org)






Conferences related to Set theory

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2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)

FUZZ-IEEE 2021 will represent a unique meeting point for scientists and engineers, both from academia and industry, to interact and discuss the latest enhancements and innovations in the field. The topics of the conference will cover all the aspects of theory and applications of fuzzy sets, fuzzy logic and associated approaches (e.g. aggregation operators such as the Fuzzy Integral), as well as their hybridizations with other artificial and computational intelligence techniques.


2019 49th Annual IEEE/IFIP International Conference on Dependable Systems and Networks (DSN)

Promote the exchange of ideas between academia and industry in the field of computer and networks dependability


2019 Chinese Control And Decision Conference (CCDC)

Chinese Control and Decision Conference is an annual international conference to create a forum for scientists, engineers and practitioners throughout the world to present the latest advancement in Control, Decision, Automation, Robotics and Emerging Technologies.

  • 2018 Chinese Control And Decision Conference (CCDC)

    Chinese Control and Decision Conference is an annual international conference to create a forum for scientists, engineers and practitioners throughout the world to present the latest advancement in Control, Decision, Automation, Robotics and Emerging Technologies.

  • 2017 29th Chinese Control And Decision Conference (CCDC)

    Chinese Control and Decision Conference is an annual international conference to create a forum for scientists, engineers and practitioners throughout the world to present the latest advancement in Control, Decision, Automation, Robotics and Emerging Technologies.

  • 2016 Chinese Control and Decision Conference (CCDC)

    Chinese Control and Decision Conference is an annual international conference to create aforum for scientists, engineers and practitioners throughout the world to present the latestadvancement in Control, Decision, Automation, Robotics and Emerging Technologies.

  • 2015 27th Chinese Control and Decision Conference (CCDC)

    Chinese Control and Decision Conference is an annual international conference to create a forum for scientists, engineers and practitioners throughout the world to present the latest advancement in Control, Decision, Automation, Robotics and Emerging Technologies.

  • 2014 26th Chinese Control And Decision Conference (CCDC)

    Chinese Control and Decision Conference is an annual international conference to create aforum for scientists, engineers and practitioners throughout the world to present the latestadvancement in Control, Decision, Automation, Robotics and Emerging Technologies.

  • 2013 25th Chinese Control and Decision Conference (CCDC)

    Chinese Control and Decision Conference is an annual international conference to create a forum for scientists, engineers and practitioners throughout the world to present the latest advancement in Control, Decision, Automation, Robotics and Emerging Technologies.

  • 2012 24th Chinese Control and Decision Conference (CCDC)

    Chinese Control and Decision Conference is an annual international conference to create a forum for scientists, engineers and practitioners throughout the world to present the latest advancement in Control, Decision, Automation, Robotics and Emerging Technologies.

  • 2011 23rd Chinese Control and Decision Conference (CCDC)

    Chinese Control and Decision Conference is an annual international conference to create a forum for scientists, engineers and practitioners throughout the world to present the latest advancement in Control, Decision, Automation, Robotics and Emerging Technologies.

  • 2010 Chinese Control and Decision Conference (CCDC)

    Chinese Control and Decision Conference is an annual international conference to create a forum for scientists, engineers and practitioners throughout the world to present the latest advancement in Control, Decision, Automation, Robotics and Emerging Technologies

  • 2009 Chinese Control and Decision Conference (CCDC)

    Chinese Control and Decision Conference is an annual international conference to create a forum for scientists, engineers and practitioners throughout the world to present the latest advancement in Control, Decision, Automation, Robotics and Emerging Technologies.

  • 2008 Chinese Control and Decision Conference (CCDC)


2019 IEEE 15th International Conference on Control and Automation (ICCA)

The 15th IEEE International Conference on Control and Automation (IEEE ICCA 2019) will be held Tuesday through Friday, July 16-19, 2019, in Edinburgh, Scotland. The conference is jointly organized by IEEE Control Systems Chapter, Singapore, and IEEE Control Chapter for United Kingdom and Ireland. It is technically sponsored by IEEE Control Systems Society. It aims to create a forum for scientists and practising engineers throughout the world to present the latest research findings and ideas in the areas of control and automation, and possible contributions toward sustainable development and environment preservation. The conference is featured with the Best Paper Award and the Best Student Paper Award.


2019 IEEE 18th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC)

The IEEE ICCI*CC series is a flagship conference of its field. It not only synergizes theories of modern information science, computer science, communication theories, AI, cybernetics, computational intelligence, cognitive science, intelligence science, neuropsychology, brain science, systems science, software science, knowledge science, cognitive robots, cognitive linguistics, and life science, but also promotes novel applications in cognitive computers, cognitive communications, computational intelligence, cognitive robots, cognitive systems, and the AI, IT, and software industries.

  • 2018 IEEE 17th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC)

    Informatics models of the brainCognitive processes of the brainThe cognitive foundation of big dataMachine consciousnessNeuroscience foundations of information processingDenotational mathematics (DM)Cognitive knowledge basesAutonomous machine learningNeural models of memoryInternal information processingCognitive sensors and networksCognitive linguisticsAbstract intelligence (aI)Cognitive information theoryCognitive information fusionCognitive computersCognitive systemsCognitive man-machine communicationCognitive InternetWorld-Wide Wisdoms (WWW+)Mathematical engineering for AICognitive vehicle systems Semantic computingDistributed intelligenceMathematical models of AICognitive signal processingCognitive image processing Artificial neural netsGenetic computingMATLAB models of AIBrain-inspired systemsNeuroinformaticsNeurological foundations of the brainSoftware simulations of the brainBrain-system interfacesNeurocomputingeBrain models

  • 2017 IEEE 16th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC)

    Cognitive Informatics is a transdisciplinary field that studies the internal information processing mechanisms of the brain, the underlying abstract intelligence theories and denotational mathematics, and their engineering applications in cognitive computing, computational intelligence, and cognitive systems. Cognitive Computing is a cutting-edge paradigm of intelligent computing methodologies and systems based on CI, which implements computational intelligence by autonomous inferences and perceptions mimicking the mechanisms of the brain. CI and CC not only synergize theories of modern information science, computer science, communication theories, AI, cybernetics, computational intelligence, cognitive science, intelligence science, neuropsychology, brain science, systems science, software science, knowledge science, cognitive robots, cognitive linguistics, and life science, but also reveal exciting applications in cognitive computers, cognitive robots, and computational intelligence.

  • 2016 IEEE 15th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC)

    Cognitive Informatics (CI) is a transdisciplinary field that studies the internal information processing mechanisms of the brain, the underlying abstract intelligence (¿I) theories and denotational mathematics, and their engineering applications in cognitive computing, computational intelligence, and cognitive systems. Cognitive Computing (CC) is a cutting-edge paradigm of intelligent computing methodologies and systems based on cognitive informatics, which implements computational intelligence by autonomous inferences and perceptions mimicking the mechanisms of the brain.

  • 2015 IEEE 14th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC)

    The scope of the conference covers cognitive informatics, cognitive computing, cognitive communications, computational intelligence, and computational linguitics.

  • 2014 IEEE 13th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC)

    Cognitive informatics, cognitive computing, cognitive science, cognitive robots, artificial intelligence, computational intelligence

  • 2013 12th IEEE International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC)

    Cognitive Informatics (CI) is a cutting-edge and multidisciplinary research field that tackles the fundamental problems shared by modern informatics, computing, AI, cybernetics, computational intelligence, cognitive science, intelligence science, neuropsychology, brain science, systems science, software engineering, knowledge engineering, cognitive robots, scientific philosophy, cognitive linguistics, life sciences, and cognitive computing.

  • 2012 11th IEEE International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC)

    Cognitive informatics and Cognitive Computing are a transdisciplinary enquiry on the internal information processing mechanisms and processes of the brain and their engineering applications in cognitive computers, computational intelligence, cognitive robots, cognitive systems, and in the AI, IT, and software industries. The 11th IEEE Int l Conference on Cognitive Informatics and Cognitive Computing (ICCI*CC 12) focuses on the theme of e-Brain and Cognitive Computers.

  • 2011 10th IEEE International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC)

    Cognitive Informatics and Cognitive Computing are a transdisciplinary enquiry on the internal information processing mechanisms and processes of the brain and their engineering applications in cognitive computers, computational intelligence, cognitive robots, cognitive systems, and in the AI, IT, and software industries. The 10th IEEE Int l Conference on Cognitive Informatics and Cognitive Computing (ICCI*CC 11) focuses on the theme of Cognitive Computers and the e-Brain.

  • 2010 9th IEEE International Conference on Cognitive Informatics (ICCI)

    Cognitive Informatics (CI) is a cutting-edge and transdisciplinary research area that tackles the fundamental problems shared by modern informatics, computing, AI, cybernetics, computational intelligence, cognitive science, neuropsychology, medical science, systems science, software engineering, telecommunications, knowledge engineering, philosophy, linguistics, economics, management science, and life sciences.

  • 2009 8th IEEE International Conference on Cognitive Informatics (ICCI)

    The 8th IEEE International Conference on Cognitive Informatics (ICCI 09) focuses on the theme of Cognitive Computing and Semantic Mining. The objectives of ICCI'09 are to draw attention of researchers, practitioners, and graduate students to the investigation of cognitive mechanisms and processes of human information processing, and to stimulate the international effort on cognitive informatics research and engineering applications.

  • 2008 7th IEEE International Conference on Cognitive Informatics (ICCI)

    The 7th IEEE International Conference on Cognitive Informatics (ICCI 08) focuses on the theme of Cognitive Computers and Computational Intelligence. The objectives of ICCI 08 are to draw attention of researchers, practitioners and graduate students to the investigation of cognitive mechanisms and processes of human information processing, and to stimulate the international effort on cognitive informatics research and engineering applications.

  • 2007 6th IEEE International Conference on Cognitive Informatics (ICCI)

  • 2006 5th IEEE International Conference on Cognitive Informatics (ICCI)

  • 2005 4th IEEE International Conference on Cognitive Informatics (ICCI)


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Periodicals related to Set theory

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Antennas and Propagation, IEEE Transactions on

Experimental and theoretical advances in antennas including design and development, and in the propagation of electromagnetic waves including scattering, diffraction and interaction with continuous media; and applications pertinent to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques.


Antennas and Wireless Propagation Letters, IEEE

IEEE Antennas and Wireless Propagation Letters (AWP Letters) will be devoted to the rapid electronic publication of short manuscripts in the technical areas of Antennas and Wireless Propagation.


Automatic Control, IEEE Transactions on

The theory, design and application of Control Systems. It shall encompass components, and the integration of these components, as are necessary for the construction of such systems. The word `systems' as used herein shall be interpreted to include physical, biological, organizational and other entities and combinations thereof, which can be represented through a mathematical symbolism. The Field of Interest: shall ...


Automation Science and Engineering, IEEE Transactions on

The IEEE Transactions on Automation Sciences and Engineering (T-ASE) publishes fundamental papers on Automation, emphasizing scientific results that advance efficiency, quality, productivity, and reliability. T-ASE encourages interdisciplinary approaches from computer science, control systems, electrical engineering, mathematics, mechanical engineering, operations research, and other fields. We welcome results relevant to industries such as agriculture, biotechnology, healthcare, home automation, maintenance, manufacturing, pharmaceuticals, retail, ...


Biomedical Engineering, IEEE Transactions on

Broad coverage of concepts and methods of the physical and engineering sciences applied in biology and medicine, ranging from formalized mathematical theory through experimental science and technological development to practical clinical applications.


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Most published Xplore authors for Set theory

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Xplore Articles related to Set theory

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A survey of some results in lattice-valued model theory

[1988] Proceedings. The Eighteenth International Symposium on Multiple-Valued Logic, 1988

The author surveys some of his published results on the model theory of lattice-valued logic. Among the results surveyed are: the fundamental theorem of ultraproducts, the compactness theorem, the LST theorem, and the omitting types theorem. A proof of the compactness theorem is appended.<<ETX>>


The Development of Fuzzy Rough Sets with the Use of Structures and Algebras of Axiomatic Fuzzy Sets

IEEE Transactions on Knowledge and Data Engineering, 2009

The notion of a rough set was originally proposed by Pawlak underwent a number of extensions and generalizations. Dubois and Prade (1990) introduced fuzzy rough sets which involve the use of rough sets and fuzzy sets within a single framework. Radzikowska and Kerre (2002) proposed a broad family of fuzzy rough sets, referred to as (phi, t)-fuzzy rough sets which ...


Normal forms of fuzzy middle and fuzzy contradictions

IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 1999

The expressions of "excluded middle" and "crisp contradiction" are reexamined starting with their original linguistic expressions which are first restated in propositional and then predicate forms. It is shown that, in order to generalize the truth tables and hence the normal forms, the membership assignments in predicate expressions must be separated from their truth qualification. In two-valued logic, there is ...


Logical calculi of rough-set granules in problems of approximate synthesis in distributed systems

Proceedings Third International Conference on Computational Intelligence and Multimedia Applications. ICCIMA'99 (Cat. No.PR00300), 1999

A logical calculus of granules is presented. This calculus provides a framework for the approximate synthesis of solutions under uncertainty by distributed systems. The presented calculus is based on rough mereology, a paradigm for approximate reasoning developed by the authors which blends together and relies on the mereology ideas of St. Lesniewski (see L. Polkowski and A. Skowron, Intell. Automation ...


Intelligence vague information analysis and decision support system

Proceedings of the 4th World Congress on Intelligent Control and Automation (Cat. No.02EX527), 2002

With a rapid growth of interest in recent years, vague set has become an effective tool to handle inexact data in the fields of fuzzy information processing. In this paper, I use vague set theory on information analysis and decision support system, set up vague information analysis system, and develop fuzzy gray matter element space decision system into vague gray ...


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Educational Resources on Set theory

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IEEE.tv Videos

Fuzzy and Soft Methods for Multi-Criteria Decision Making - Ronald R Yager - WCCI 2016
Applying Control Theory to the Design of Cancer Therapy
IMS MicroApps: Nonlinear Co-Simulation with Real-Time Channel Measurements
IMS MicroApp: Advances in High Frequency Printed Circuit Board (PCB)
IMS Organizer: Ramesh Gupta, Technical Program Chair for IMS 2011
IMS MicroApps: Multi-Chip Module Design Challenges
IMS MicroApps: Analyzing and Understanding the Performance of an LTE System
IMS MicroApp: Causality Considerations for Multi-Gigabit StatEye Analysis
The Josephson Effect: Brian Josephson Debates John Bardeen
IMS MicroApp: Unexpected effects of conductor profile on the propagation constant
IMS MicroApps: Single Chip LNA on 0.25um SOS for SKA Midband Receiver
Bayesian Perception & Decision from Theory to Real World Applications
IMS 2012 Special Sessions: A Retrospective of Field Theory in Microwave Engineering - Magdalena Salazar Palma
IMS 2012 Special Sessions: A Retrospective of Field Theory in Microwave Engineering - David M. Pozar
IMS 2012 Special Sessions: A Retrospective of Field Theory in Microwave Engineering - Constantine A. Balanis
Type-2 Fuzzy Sets and Systems: Some Questions and Answers (edited)
Inspiring Brilliance: The impact of control theory and cybernetics of Maxwell's paper: On governors
Innovative Transmission Line Measurement and Characterization Reduce Time to Repair for Complex Communication Systems: MicroApps 2015 - Keysight Technologies
IMS Organizer: Richard Snyder, President Elect for MTT-S
Big Data Panelist - Joe Weinman: 2016 Technology Time Machine

IEEE-USA E-Books

  • A survey of some results in lattice-valued model theory

    The author surveys some of his published results on the model theory of lattice-valued logic. Among the results surveyed are: the fundamental theorem of ultraproducts, the compactness theorem, the LST theorem, and the omitting types theorem. A proof of the compactness theorem is appended.<<ETX>>

  • The Development of Fuzzy Rough Sets with the Use of Structures and Algebras of Axiomatic Fuzzy Sets

    The notion of a rough set was originally proposed by Pawlak underwent a number of extensions and generalizations. Dubois and Prade (1990) introduced fuzzy rough sets which involve the use of rough sets and fuzzy sets within a single framework. Radzikowska and Kerre (2002) proposed a broad family of fuzzy rough sets, referred to as (phi, t)-fuzzy rough sets which are determined by some implication operator (implicator) phi and a certain t-norm. In order to describe the linguistically represented concepts coming from data available in some information system, the concept of fuzzy rough sets are redefined and further studied in the setting of the axiomatic fuzzy set (AFS) theory. Compared with the (phi, t)-fuzzy rough sets, the advantages of AFS fuzzy rough sets are twofold. They can be directly applied to data analysis present in any information system without resorting to the details concerning the choice of the implication phi, t-norm and a similarity relation S. Furthermore such rough approximations of fuzzy concepts come with a well-defined semantics and therefore offer a sound interpretation. Some examples are included to illustrate the effectiveness of the proposed construct. It is shown that the AFS fuzzy rough sets provide a far higher flexibility and effectiveness in comparison with rough sets and some of their generalizations.

  • Normal forms of fuzzy middle and fuzzy contradictions

    The expressions of "excluded middle" and "crisp contradiction" are reexamined starting with their original linguistic expressions which are first restated in propositional and then predicate forms. It is shown that, in order to generalize the truth tables and hence the normal forms, the membership assignments in predicate expressions must be separated from their truth qualification. In two-valued logic, there is no need to separate them from each other due to reductionist Aristotalean dichotomy. Whereas, in infinite (fuzzy) valued set and logic, the separation of membership assignments from their truth qualification forms the bases of a new reconstruction of the truth tables. The results obtained from these extended truth tables are reducible to their Boolean equivalents under the axioms of Boolean theory. Whereas, in fuzzy set and logic theory, we obtain a richer and more complex interpretations of the "fuzzy middle" and "fuzzy contradiction.".

  • Logical calculi of rough-set granules in problems of approximate synthesis in distributed systems

    A logical calculus of granules is presented. This calculus provides a framework for the approximate synthesis of solutions under uncertainty by distributed systems. The presented calculus is based on rough mereology, a paradigm for approximate reasoning developed by the authors which blends together and relies on the mereology ideas of St. Lesniewski (see L. Polkowski and A. Skowron, Intell. Automation and Soft Comput., vol. 2, no. 2, 1996), rough set theory and fuzzy set theory.

  • Intelligence vague information analysis and decision support system

    With a rapid growth of interest in recent years, vague set has become an effective tool to handle inexact data in the fields of fuzzy information processing. In this paper, I use vague set theory on information analysis and decision support system, set up vague information analysis system, and develop fuzzy gray matter element space decision system into vague gray matter element decision system. Based on vague set theory, I set up an information and task incidence rectangular matrix, and make it as the base of information analysis and decision. The system especially suits for deciding expounding and estimating macroscopic complicated huge system.

  • An automatic classification algorithm for web document in rough set theory and fuzzy sart

    None

  • Heuristic constraints enforcement for training of and knowledge extraction from a fuzzy/neural architecture. I. Foundation

    Using fuzzy/neural architectures to extract heuristic information from systems has received increasing attention. A number of fuzzy/neural architectures and knowledge extraction methods have been proposed. Knowledge extraction from systems where the existing knowledge limited is a difficult task. One of the reasons is that there is no ideal rulebase, which can be used to validate the extracted rules. In most of the cases, using output error measures to validate extracted rules is not sufficient as extracted knowledge may not make heuristic sense, even if the output error may meet the specified criteria. The paper proposes a novel method for enforcing heuristic constraints on membership functions for rule extraction from a fuzzy/neural architecture. The proposed method not only ensures that the final membership functions conform to a priori heuristic knowledge, but also reduces the domain of search of the training and improves convergence speed. Although the method is described on a specific fuzzy/neural architecture, it is applicable to other realizations, including adaptive or static fuzzy inference systems. The foundations of the proposed method are given in Part I. The techniques for implementation and integration into the training are given in Part II, together with applications.

  • Computing with uncertainty

    The role of and interaction between statistical, fuzzy, and neural-like models for certain problems associated with the three main areas of pattern recognition system design are discussed. Some questions concerning fuzzy sets are answered, and the design of fuzzy pattern recognition systems is reviewed. Pattern recognition, statistical pattern recognition and fuzzy pattern recognition systems are described. The use of computational neural-like networks in fuzzy pattern recognition is also discussed.<<ETX>>

  • Fuzzy resolution principle

    The resolution principle based on reduction and absurdum is extended from binary logic to fuzzy logic. The extension is dependent on introducing the concepts of fuzzy contradictory, contradictory degree, fuzzy resolvent, and confidence of resolvent. The concept of fuzzy resolvent is first interpreted, as it is the most important concept and is the basis of fuzzy resolution. Then the fuzzy resolution principle is considered for fuzzy propositional logic and extended to the fuzzy firs-order logic. The completeness of the fuzzy resolution principle is proved. The fuzzy resolution principle has been used as the basis of a powerful fuzzy Prolog system.<<ETX>>

  • On Combining Neuro-Fuzzy Architectures with the Rough Set Theory to Solve Classification Problems with Incomplete Data

    This paper presents a new approach to fuzzy classification in the case of missing features. The rough set theory is incorporated into neuro-fuzzy structures and the rough-neuro-fuzzy classifier is derived. The architecture of the classifier is determined by the modified indexed center of gravity (MICOG) defuzzification method. The structure of the classifier is presented in a general form, which includes both the Mamdani approach and the logical approach-based on the genuine fuzzy implications. A theorem, which allows the determination of the structures of rough-neuro-fuzzy classifiers based on the MICOG defuzzification, is given and proven. Specific rough-neuro-fuzzy structures based on the Larsen rule, the Reichenbach, and the Kleene-Dienes implications are given in details. In the experiments, it is shown that the classifier with the Dubois-Prade fuzzy implication is characterized by the best performance in the case of missing features.



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