Set theory

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

Conferences related to Set theory

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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 IEEE 58th Conference on Decision and Control (CDC)

The CDC is recognized as the premier scientific and engineering conference dedicated to the advancement of the theory and practice of systems and control. The CDC annually brings together an international community of researchers and practitioners in the field of automatic control to discuss new research results, perspectives on future developments, and innovative applications relevant to decision making, systems and control, and related areas.The 58th CDC will feature contributed and invited papers, as well as workshops and may include tutorial sessions.The IEEE CDC is hosted by the IEEE Control Systems Society (CSS) in cooperation with the Society for Industrial and Applied Mathematics (SIAM), the Institute for Operations Research and the Management Sciences (INFORMS), the Japanese Society for Instrument and Control Engineers (SICE), and the European Union Control Association (EUCA).

2019 IEEE/CVF International Conference on Computer Vision (ICCV)

Early Vision and Sensors Color, Illumination and Texture Segmentation and Grouping Motion and TrackingStereo and Structure from Motion Image -Based Modeling Physics -Based Modeling Statistical Methods and Learning in VisionVideo Surveillance and Monitoring Object, Event and Scene Recognition Vision - Based Graphics Image and Video RetrievalPerformance Evaluation Applications

GLOBECOM 2019 - 2019 IEEE Global Communications Conference

Provides a full program of technical and professional activities spanning hot topics in voice, data, image and multimedia communications and networking.

ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

ICASSP is the world’s largest and most comprehensive technical conference focused on signal processing and its applications. The conference will feature world-class presentations by internationally renowned speakers, cutting-edge session topics and provide a fantastic opportunity to network with like-minded professionals from around the world.

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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

[{u'author_order': 1, u'affiliation': u'Dept. of Math., Beijing Normal Univ., China', u'full_name': u'S. Wang'}] [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

[{u'author_order': 1, u'affiliation': u'Dalian University of Technology, Dalian', u'authorUrl': u'', u'full_name': u'Xiaodong Liu', u'id': 37280587000}, {u'author_order': 2, u'affiliation': u'University of Alberta, Edmonton', u'authorUrl': u'', u'full_name': u'Witold Pedrycz', u'id': 37271832400}, {u'author_order': 3, u'affiliation': u'Northwestern University, Shenyang', u'authorUrl': u'', u'full_name': u'Tianyou Chai', u'id': 37268730400}, {u'author_order': 4, u'affiliation': u'Dalian University of Technology, Dalian', u'authorUrl': u'', u'full_name': u'Mingli Song', u'id': 37856113100}] 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

[{u'author_order': 1, u'affiliation': u'Dept. of Mech. & Ind. Eng., Toronto Univ., Ont., Canada', u'full_name': u'I.B. Turksen'}, {u'author_order': 2, u'authorUrl': u'', u'full_name': u'A. Kandel', u'id': 37270864800}, {u'author_order': 3, u'authorUrl': u'', u'full_name': u'Yan-Qing Zhang', u'id': 37069490100}] 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

[{u'author_order': 1, u'affiliation': u'Polish-Japanese Inst. of Inf. Technol., Warsaw, Poland', u'authorUrl': u'', u'full_name': u'L. Polkowski', u'id': 37332732400}, {u'author_order': 2, u'authorUrl': u'', u'full_name': u'A. Skowron', u'id': 37284336500}] 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

[{u'author_order': 1, u'affiliation': u'Northern Jiaotong Univ., Beijing, China', u'authorUrl': u'', u'full_name': u'Anyang Su', u'id': 37336971900}] 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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No eLearning Articles are currently tagged "Set theory" 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
Inspiring Brilliance: The impact of control theory and cybernetics of Maxwell's paper: On governors
Type-2 Fuzzy Sets and Systems: Some Questions and Answers (edited)
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


  • Basic Fuzzy Set Theory

    Fuzzy set theory and fuzzy logic provide a different way to view the problem of modeling uncertainty and offer a wide range of computational tools to aid decision making. The mathematical basis for formal fuzzy logic can be found in infinite-valued logics, first studied by the Polish logician Jan Lukasiewicz in the 1920s. While the big economic impact of fuzzy set theory and fuzzy logic centers on control, particularly in consumer electronics, there has been, and continues to be, much research and application of these technologies in pattern recognition, information fusion, data mining, and automated decision making. All fuzzy set theory is based on the concept of a membership function. In many cases, the membership functions take on specific functional forms such as triangular, trapezoidal, S-functions, pi-functions, sigmoids, and even Gaussians for convenience in representation and computation. A neural network also acts as a membership function.

  • Mathematical Notions

    This chapter introduces the mathematical notions that are necessary for understanding the content of the book. The notions are not at all difficult; they belong to the algebraic theory of lattices and may not be familiar to some readers. The notions constitute the algebraic basis of mathematical morphology, in particular the Galois adjunction from which erosions, dilations, openings and closings are derived. For the sake of generality, the chapter considers two complete lattices with distinct elements. An increasing operator that commutes with the supremum is called a dilation. A decreasing operator that commutes with the infimum is called an erosion. An increasing, idempotent and anti‐extensive operator is called an opening. An increasing, idempotent and extensive operator is called a closing.

  • Strings, Languages, and Compilers

    This chapter contains sections titled: * Introduction * Basic Language Concepts * Basic Compiler Concepts * Basic Set Theory * Null String * Concatenation * Exponent Notation * Star Operator (Also Known as the Zero-or-More Operator) * Concatenation of Sets of Strings * Plus Operator (Also Known as the One-or-More Operator) * Question Mark Operator (Also Known as Zero-or-One Operator) * Shorthand Notation for a Set Containing a Single String * Operator Precedence * Regular Expressions * Limitations of Regular Expressions * Problems

  • Fuzzy Multiattribute Decision-Making for Solid Waste Management with Societal Complications

    Delineating the social, economic, ecological, and environmental objectives into a succinct yet representative management model for decision-making is oftentimes prone to considerable subjectivity, imprecision, and uncertainty. This chapter provides the readers with a capsule look into the fundamentals of fuzzy set theory and existing fuzzy multiattribute decision-making problems with possible extensions and applications in dealing with two different types of solid waste management (SWM) issues. It starts with the introduction of basic concept of fuzzy sets, followed by two case studies for SWM in sequence for addressing landfill siting issues in Texas, and fair fund redistribution issues in Taiwan, all of which collectively illuminate the essence of fuzzy multiattribute decision-making. With the development of geographical information system (GIS), the landfill siting process is increasingly based on more sophisticated spatial analysis and modeling.

  • Fuzzy Systems

    Fuzzy logic was transformed from a 'buzz word' to an important technological area, with many publications in conferences and transactions. Many Japanese products applying fuzzy concepts, such as household appliances and electronic equipment, have been manufactured. This chapter presents a relation of classical and fuzzy sets and concepts of fuzzy graphs and fuzzy relations. It also presents the foundation of fuzzy logic, with the fuzzification inference process and defuzzification process. The chapter explores a popular fuzzy model to represent complex systems and an application of fuzzy control. A fuzzy decision system provides a mapping between input and output variables. The chapter also mentions some application areas of fuzzy techniques. It describes principal definitions and concepts of the classical Cantor's sets that are well‐known in order to guide the readers about the notation and a comparison with the similar concepts in fuzzy sets theory.

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