Implication
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Logic And Implication
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Author : Petr Cintula
language : en
Publisher: Springer Nature
Release Date : 2022-01-01
Logic And Implication written by Petr Cintula and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Philosophy categories.
This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to (abstract) algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions. Based on their recent work, the authors develop a powerful uniform framework for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics. The book may be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics and their algebraic semantics.
Fuzzy Implications
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Author : Michał Baczyński
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-25
Fuzzy Implications written by Michał Baczyński and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-25 with Computers categories.
This book is the first ever to deal exclusively with this class of operations. It offers an introduction to Fuzzy Implications, an analytical study of them, and an algebraic exploration into the structures that exist on the set of all FIs.
Conceptual Exploration
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Author : Bernhard Ganter
language : en
Publisher: Springer
Release Date : 2016-05-26
Conceptual Exploration written by Bernhard Ganter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-26 with Computers categories.
This is the first textbook on attribute exploration, its theory, its algorithms forapplications, and some of its many possible generalizations. Attribute explorationis useful for acquiring structured knowledge through an interactive process, byasking queries to an expert. Generalizations that handle incomplete, faulty, orimprecise data are discussed, but the focus lies on knowledge extraction from areliable information source.The method is based on Formal Concept Analysis, a mathematical theory ofconcepts and concept hierarchies, and uses its expressive diagrams. The presentationis self-contained. It provides an introduction to Formal Concept Analysiswith emphasis on its ability to derive algebraic structures from qualitative data,which can be represented in meaningful and precise graphics.
Readings In Fuzzy Sets For Intelligent Systems
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Author : Didier J. Dubois
language : en
Publisher: Morgan Kaufmann
Release Date : 2014-05-12
Readings In Fuzzy Sets For Intelligent Systems written by Didier J. Dubois and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Computers categories.
Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.
Information Processing And Management Of Uncertainty In Knowledge Based Systems Theory And Foundations
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Author : Jesús Medina
language : en
Publisher: Springer
Release Date : 2018-05-30
Information Processing And Management Of Uncertainty In Knowledge Based Systems Theory And Foundations written by Jesús Medina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-30 with Computers categories.
This three volume set (CCIS 853-855) constitutes the proceedings of the 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2017, held in Cádiz, Spain, in June 2018. The 193 revised full papers were carefully reviewed and selected from 383 submissions. The papers are organized in topical sections on advances on explainable artificial intelligence; aggregation operators, fuzzy metrics and applications; belief function theory and its applications; current techniques to model, process and describe time series; discrete models and computational intelligence; formal concept analysis and uncertainty; fuzzy implication functions; fuzzy logic and artificial intelligence problems; fuzzy mathematical analysis and applications; fuzzy methods in data mining and knowledge discovery; fuzzy transforms: theory and applications to data analysis and image processing; imprecise probabilities: foundations and applications; mathematical fuzzy logic, mathematical morphology; measures of comparison and entropies for fuzzy sets and their extensions; new trends in data aggregation; pre-aggregation functions and generalized forms of monotonicity; rough and fuzzy similarity modelling tools; soft computing for decision making in uncertainty; soft computing in information retrieval and sentiment analysis; tri-partitions and uncertainty; decision making modeling and applications; logical methods in mining knowledge from big data; metaheuristics and machine learning; optimization models for modern analytics; uncertainty in medicine; uncertainty in Video/Image Processing (UVIP).
Multistrategy Learning
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Author : Ryszard S. Michalski
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-06-30
Multistrategy Learning written by Ryszard S. Michalski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-30 with Computers categories.
Most machine learning research has been concerned with the development of systems that implememnt one type of inference within a single representational paradigm. Such systems, which can be called monostrategy learning systems, include those for empirical induction of decision trees or rules, explanation-based generalization, neural net learning from examples, genetic algorithm-based learning, and others. Monostrategy learning systems can be very effective and useful if learning problems to which they are applied are sufficiently narrowly defined. Many real-world applications, however, pose learning problems that go beyond the capability of monostrategy learning methods. In view of this, recent years have witnessed a growing interest in developing multistrategy systems, which integrate two or more inference types and/or paradigms within one learning system. Such multistrategy systems take advantage of the complementarity of different inference types or representational mechanisms. Therefore, they have a potential to be more versatile and more powerful than monostrategy systems. On the other hand, due to their greater complexity, their development is significantly more difficult and represents a new great challenge to the machine learning community. Multistrategy Learning contains contributions characteristic of the current research in this area.
Information Oriented Logic
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Author : Zbigniew Płotnicki
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-09-01
Information Oriented Logic written by Zbigniew Płotnicki and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-01 with Mathematics categories.
The book introduces a new form of mathematical logic called "Information Oriented Logic" (IOL). It demonstrates that IOL is capable of solving various classical and non-classical logic problems that cannot be solved by traditional methods of logic. In this book, it is argued that two meaningful declarative sentences or symbols can make the same statement if they express the same thing or referent in different ways. The book treats a piece of information as the referent for a meaningful declarative sentence, thus inventing information-oriented logic. As a result, this book provides a comprehensive guide to this logic. Unlike traditional logic, which uses declarative sentences as the result of logical expressions, this new logic uses pieces of information. The book is intended for undergraduate and graduate students, as well as scholars applying mathematical logic to various fields such as philosophy, linguistics, ontology, information theory, computer science, etc. Additionally, it provides a new mereology in which all implications of a piece of information are its parts.
Implications In Morava K Theory
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Author : Richard M. Kane
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Implications In Morava K Theory written by Richard M. Kane and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
This paper studies the mod 2 cohomology [italic]H*[italic]X of finite [italic]H-spaces. It is shown that when [italic]X is connected and simply connected then [italic]H*[italic]X has no indecomposables of even degree. As a consequence, [italic]H*([capital Greek]Omega[italic]X;[bold]Z) and [italic]K*[italic]X have no 2 torsion. The main result is proved by using Morava [script]K-theory.
Fuzzy Logic
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Author : R. Lowen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fuzzy Logic written by R. Lowen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Fuzzy Logic: State of the Art covers a wide range of both theory and applications of fuzzy sets, ranging from mathematical basics, through artificial intelligence, computer management and systems science to engineering applications. Fuzzy Logic will be of interest to researchers working in fuzzy set theory and its applications.
Computational Structures And Algorithms For Association Rules The Galois Connection
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Author :
language : en
Publisher: Jean-Marc Adamo
Release Date :
Computational Structures And Algorithms For Association Rules The Galois Connection written by and has been published by Jean-Marc Adamo this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.