Hohle Ulrich (115 results)

Broschur. Condition: gut. VI, 79 S., 21 cm, Aufkleber, Bibliotheksexemplar. Sprache: deu.

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Paperback or Softback. Condition: New. Non-Classical Logics and Their Applications to Fuzzy Subsets: A Handbook of the Mathematical Foundations of Fuzzy Set Theory. Book.

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Condition: New. pp. 406.

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Non-Classical Logics and their Applications to Fuzzy Subsets is the first major work devoted to a careful study of various relations between non-classical logics and fuzzy sets. This volume is indispensable for all those who are interested in a deeper understanding of the mathematical foundations of fuzzy set theory, particularly in intuitionistic logic, Lukasiewicz logic, monoidal logic, fuzzy logic and topos-like categories. The tutorial nature of the longer chapters, the comprehensive bibliography and index make it suitable as a valuable and important reference for graduate students as well as research workers in the field of non-classical logics. The book is arranged in three parts: Part A presents the most recent developments in the theory of Heyting algebras, MV-algebras, quantales and GL-monoids. Part B gives a coherent and current account of topos-like categories for fuzzy set theory based on Heyting algebra valued sets, quantal sets of M-valued sets. Part C addresses general aspects of non-classical logics including epistemological problems as well as recursive properties of fuzzy logic.…

Condition: New.

Hardback. Condition: New. This work is devoted to a study of various relations between non-classical logics and fuzzy sets. This volume is aimed at all those who are interested in a deeper understanding of the mathematical foundations of fuzzy set theory, particularly in intuitionistic logic, Lukasiewicz logic, monoidal logic, fuzzy logic and topos-like categories. The tutorial nature of the longer chapters, the comprehensive bibliography and index should make it suitable as a valuable and important reference for graduate students as well as research workers in the field of non-classical logics. The book is arranged in three parts: part A presents the most recent developments in the theory of Heyting algebras, MV-algebras, quantales and GL-monoids; part B gives a coherent and current account of topos-like categories for fuzzy set theory based on Heyting algebra valued sets, quantal sets of M-valued sets; part C addresses general aspects of non-classical logics including epistemological problems as well as recursive properties of fuzzy logic. …

Condition: New.

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Condition: As New. Unread book in perfect condition.

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Condition: As New. Unread book in perfect condition.

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Gebunden. Condition: New.

Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents the analysis of the representative survey about the academic profession in twelve European countries. Higher education in Europe has experienced a substantial change in recent years: Expansion progresses further, the expectation to deliver useful contributions of knowledge to the 'knowledge society' is on the rise, and efforts to steer academic work through external forces and strong international management are more widespread than ever. Representative surveys of the academic profession in twelve European countries show how professors and junior staff at universities and other institutions of higher education view the role of higher education in society and their professional situation and how they actually shape their professional tasks. Academics differ across Europe substantially in their employment and working conditions, their views and their activities. Most of them favour the preservation of a close link between teaching and research and feel responsible for both theory and practice. Most consider efforts to enhance academic quality and social relevance as compatible. The overall satisfaction with their professional situation is rather high.…

Condition: New. pp. 290.

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents the analysis of the representative survey about the academic profession in twelve European countries. Higher education in Europe has experienced a substantial change in recent years: Expansion progresses further, the expectation to deliver useful contributions of knowledge to the 'knowledge society' is on the rise, and efforts to steer academic work through external forces and strong international management are more widespread than ever. Representative surveys of the academic profession in twelve European countries show how professors and junior staff at universities and other institutions of higher education view the role of higher education in society and their professional situation and how they actually shape their professional tasks. Academics differ across Europe substantially in their employment and working conditions, their views and their activities. Most of them favour the preservation of a close link between teaching and research and feel responsible for both theory and practice. Most consider efforts to enhance academic quality and social relevance as compatible. The overall satisfaction with their professional situation is rather high.…

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The 20th Century brought the rise of General Topology. It arose from the effort to establish a solid base for Analysis and it is intimately related to the success of set theory. Many Valued Topology and Its Applications seeks to extend the field by taking the monadic axioms of general topology seriously and continuing the theory of topological spaces as topological space objects within an almost completely ordered monad in a given base category C. The richness of this theory is shown by the fundamental fact that the category of topological space objects in a complete and cocomplete (epi, extremal mono)-category C is topological over C in the sense of J. Adamek, H. Herrlich, and G.E. Strecker. Moreover, a careful, categorical study of the most important topological notions and concepts is given - e.g., density, closedness of extremal subobjects, Hausdorff's separation axiom, regularity, and compactness. An interpretation of these structures, not only by the ordinary filter monad, but also by many valued filter monads, underlines the richness of the explained theory and gives rise to new concrete concepts of topological spaces - so-called many valued topological spaces. Hence, many valued topological spaces play a significant role in various fields of mathematics - e.g., in the theory of locales, convergence spaces, stochastic processes, and smooth Borel probability measures. In its first part, the book develops the necessary categorical basis for general topology. In the second part, the previously given categorical concepts are applied to monadic settings determined by many valued filter monads. The third part comprises various applications of many valued topologies to probability theory and statistics as well as to non-classical model theory. These applications illustrate the significance of many valued topology for further research work in these important fields.…

Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The 20th Century brought the rise of General Topology. It arose from the effort to establish a solid base for Analysis and it is intimately related to the success of set theory. Many Valued Topology and Its Applications seeks to extend the field by taking the monadic axioms of general topology seriously and continuing the theory of topological spaces as topological space objects within an almost completely ordered monad in a given base category C. The richness of this theory is shown by the fundamental fact that the category of topological space objects in a complete and cocomplete (epi, extremal mono)-category C is topological over C in the sense of J. Adamek, H. Herrlich, and G.E. Strecker. Moreover, a careful, categorical study of the most important topological notions and concepts is given - e.g., density, closedness of extremal subobjects, Hausdorff's separation axiom, regularity, and compactness. An interpretation of these structures, not only by the ordinary filter monad, but also by many valued filter monads, underlines the richness of the explained theory and gives rise to new concrete concepts of topological spaces - so-called many valued topological spaces. Hence, many valued topological spaces play a significant role in various fields of mathematics - e.g., in the theory of locales, convergence spaces, stochastic processes, and smooth Borel probability measures. In its first part, the book develops the necessary categorical basis for general topology. In the second part, the previously given categorical concepts are applied to monadic settings determined by many valued filter monads. The third part comprises various applications of many valued topologies to probability theory and statistics as well as to non-classical model theory. These applications illustrate the significance of many valued topology for further research work in these important fields.…

Condition: New. pp. 306.

Buch. Condition: Neu. Neuware - Preface. Introduction. Part A: Algebraic Foundations of Non-Classical Logics. I. alpha-Complete MV-algebras; L.P. Belluce. II. On MV-algebras of continuous functions; A. Di Nola, S. Sessa. III. Free and projective Heyting and monadic Heyting algebras; R. Grigolia. IV. Commutative, residuated l-monoids; U. Höhle. V. A proof of the completeness of the infinite-valued calculus of Lukasiewicz with one variable; D. Mundici, M. Pasquetto. Part B: Non-Classical Models and Topos-Like Categories. VI. Presheaves over GL-monoids; U. Höhle. VII. Quantales: Quantal sets; C.J. Mulvey, M. Nawaz. VIII. Categories of fuzzy sets with values in a quantale or projectale; L.N. Stout. IX. Fuzzy logic and categories of fuzzy sets; O. Wyler. Part C: General Aspects of Non-Classical Logics. X. Prolog extensions to many-valued logics; F. Klawonn. XI. Epistemological aspects of many-valued logics and fuzzy structures; L.J. Kohout. XII. Ultraproduct theorem and recursive properties of fuzzy logic; V. Novák. Bibliography. Index. …

Condition: New. pp. 348.