Operators and Topologies in Relational Systems PDF Download
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Author: Stanisław Gniłka
Publisher:
ISBN:
Category : Closure operators
Languages : en
Pages : 110
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Book Description
Author: Stanisław Gniłka
Publisher:
ISBN:
Category : Closure operators
Languages : en
Pages : 110
Get Book Here
Book Description
Author: Stanisław Gniłka
Publisher:
ISBN:
Category : Closure operators
Languages : en
Pages : 98
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Book Description
Author: Radim Belohlávek
Publisher: Springer Science & Business Media
ISBN: 1461506336
Category : Mathematics
Languages : en
Pages : 376
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Book Description
Since their inception, fuzzy sets and fuzzy logic became popular. The reason is that the very idea of fuzzy sets and fuzzy logic attacks an old tradition in science, namely bivalent (black-or-white, all-or-none) judg ment and reasoning and the thus resulting approach to formation of scientific theories and models of reality. The idea of fuzzy logic, briefly speaking, is just the opposite of this tradition: instead of full truth and falsity, our judgment and reasoning also involve intermediate truth values. Application of this idea to various fields has become known under the term fuzzy approach (or graded truth approach). Both prac tice (many successful engineering applications) and theory (interesting nontrivial contributions and broad interest of mathematicians, logicians, and engineers) have proven the usefulness of fuzzy approach. One of the most successful areas of fuzzy methods is the application of fuzzy relational modeling. Fuzzy relations represent formal means for modeling of rather nontrivial phenomena (reasoning, decision, control, knowledge extraction, systems analysis and design, etc. ) in the pres ence of a particular kind of indeterminacy called vagueness. Models and methods based on fuzzy relations are often described by logical formulas (or by natural language statements that can be translated into logical formulas). Therefore, in order to approach these models and methods in an appropriate formal way, it is desirable to have a general theory of fuzzy relational systems with basic connections to (formal) language which enables us to describe relationships in these systems.
Author: Harrie de Swart
Publisher: Springer
ISBN: 3540246150
Category : Computers
Languages : en
Pages : 280
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Book Description
Relational structures abound in our daily environment: relational databases, data mining, scaling procedures, preference relations, etc. As the documentation of scientific results achieved within the European COST Action 274, TARSKI, this book advances the understanding of relational structures and the use of relational methods in various application fields. The 12 revised full papers were carefully reviewed and selected for presentations. The papers are devoted to mechanization of relational reasoning, relational scaling and preferences, and algebraic and logical foundations of real world relations.
Author: Steven Givant
Publisher: Springer
ISBN: 3319067435
Category : Mathematics
Languages : en
Pages : 246
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Book Description
In this new text, Steven Givant—the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski—develops three theories of duality for Boolean algebras with operators. Givant addresses the two most recognized dualities (one algebraic and the other topological) and introduces a third duality, best understood as a hybrid of the first two. This text will be of interest to graduate students and researchers in the fields of mathematics, computer science, logic, and philosophy who are interested in exploring special or general classes of Boolean algebras with operators. Readers should be familiar with the basic arithmetic and theory of Boolean algebras, as well as the fundamentals of point-set topology.
Author: Zbigniew W. Ras
Publisher: Springer Science & Business Media
ISBN: 9783540584957
Category : Computers
Languages : en
Pages : 656
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Book Description
This volume contains the revised versions of the papers presented at the Eighth International Symposium on Methodologies for Intelligent Systems (ISMIS '94), held in Charlotte, North Carolina, USA in October 1994. Besides four invited contributions by renowned researchers on key topics, there are 56 full papers carefully selected from more than 120 submissions. The book presents the state of the art for methodologies for intelligent systems; the papers are organized in sections on approximate reasoning, evolutionary computation, intelligent information systems, knowledge representation, methodologies, learning and adaptive systems, and logic for AI.
Author: Gunther Schmidt
Publisher: Springer
ISBN: 3319744518
Category : Mathematics
Languages : en
Pages : 200
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Book Description
This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics, numerics, statistics, engineering, and elsewhere, the methods used to work with them are much less well known. In addition to their purely topological applications, the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science. Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual, but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants.
Author: James F. Peters
Publisher: Springer
ISBN: 3540712003
Category : Computers
Languages : en
Pages : 509
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Book Description
This volume of the Transactions on Rough Sets commemorates the life and work of Zdzislaw Pawlak (1926-2006), whose legacy is rich and varied. It presents papers that reflect the profound influence of a number of research initiatives by Professor Pawlak, introducing a number of new advances in the foundations and applications of artificial intelligence, engineering, logic, mathematics, and science.
Author: Marzena Kryszkiewicz
Publisher: Springer
ISBN: 3540734511
Category : Computers
Languages : en
Pages : 854
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Book Description
This book constitutes the refereed proceedings of the International Conference on Rough Sets and Emerging Intelligent Systems Paradigms, held in Warsaw, Poland in June 2007. The conference was dedicated to the memory of Professor Zdzislaw Pawlak. Seventy-three full papers are presented, together with two keynote lectures and eleven invited papers. Each of these papers was subject to a strict editorial review.
Author: Hung Son Nguyen
Publisher: Springer
ISBN: 3319993682
Category : Computers
Languages : en
Pages : 676
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Book Description
This LNAI 1103 constitutes the proceedings of the International Joint Conference on Rough Sets, IJCRS 2018, held in Quy Nhon, Vietnam, in August 2018. The 40 full papers presented together with 5 short papers were carefully reviewed and selected from 61 submissions. The IJCRS conferences aim at bringing together experts from universities and research centers as well as the industry representing fields of research in which theoretical and applicational aspects of rough set theory already find or may potentially find usage.
