Barnabas Bede's Books

Mathematics of Fuzzy Sets and Fuzzy Logic

By: Barnabas Bede

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Mathematics of Fuzzy Sets and Fuzzy Logic

By: Barnabas Bede

This book presents a mathematically-based introduction into the fascinating topic of Fuzzy Sets and Fuzzy Logic and might be used as textbook at both undergraduate and graduate levels and also as reference guide for mathematician, scientists or engineers who would like to get an insight into Fuzzy Logic. Fuzzy Sets have been introduced by Lotfi Zadeh in 1965 and since then, they have been used in many applications. As a consequence, there is a vast literature on the practical applications of fuzzy sets, while theory has a more modest coverage. The main purpose of the present book is to reduce this gap by providing a theoretical introduction into Fuzzy Sets based on Mathematical Analysis and Approximation Theory. Well-known applications, as for example fuzzy control, are also discussed in this book and placed on new ground, a theoretical foundation. Moreover, a few advanced chapters and several new results are included. These comprise, among others, a new systematic and constructive approach for fuzzy inference systems of Mamdani and Takagi-Sugeno types, that investigates their approximation capability by providing new error estimates.

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Page Count

281

Publisher

Springer

Published Date

ISBN 10

3642352219

ISBN 13

9783642352218

Fuzzy Differential Equations in Various Approaches

By: Luciana Takata Gomes,Laécio Carvalho de Barros,Barnabas Bede

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Fuzzy Differential Equations in Various Approaches

By: Luciana Takata Gomes,Laécio Carvalho de Barros,Barnabas Bede

This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh’s extension. Through a unique analysis, results of all these theories are examined and compared.

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Page Count

130

Publisher

Springer

Published Date

ISBN 10

3319225758

ISBN 13

9783319225753

The Sacred Writings of Saint Barnabas

By: Barnabas

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The Sacred Writings of Saint Barnabas

By: Barnabas

The Epistle of Barnabas contains no clue to its author nor to those for whom it was intended. Its aim is to impart to its readers the perfect wisdom (gnosis), that is an exact knowledge of the economy of salvation. It is made up of two parts, the subject of each being announced in verses 6 and 7 of the first chapter. The first part (ch. i-v, 4) is hortatory; in the evil days that are now at hand in which the end of the world and the Judgment shall appear, the faithful, freed from the bonds of the Jewish ceremonial law, are to practise the virtues and to flee from sin. The second part (ch. v, 5-xvii) is more speculative, although it tends, owing to the nature of the argument, to establish the freedom of Christians in respect to the Mosaic regulations. The author wishes to make his readers comprehend the real nature of the Old Testament. He shows how the ordinances of the Law should be understood as referring allegorically to the Christian virtues and institutions, and he pauses to make plain by a series of symbolical explanations, that are often singular, how the Old Testament prefigures Christ, His Passion, His Church, etc. Before concluding (ch. xxi) the author repeats and enlarges the exhortations of the first part of the epistle by borrowing from another document (the Didache or its source) the description of the two ways, the way of light and that of darkness (xviii-xx).

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Publisher

Jazzybee Verlag

ISBN 10

3849672948

ISBN 13

9783849672942

Book's by Barnabas Bede

Mathematics of Fuzzy Sets and Fuzzy Logic

Mathematics of Fuzzy Sets and Fuzzy Logic

Fuzzy Differential Equations in Various Approaches

Fuzzy Differential Equations in Various Approaches

The Sacred Writings of Saint Barnabas

The Sacred Writings of Saint Barnabas

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