Random Sets, John Goutsias; Ronald P.S. Mahler; Hung T. Nguyen

Автор: F. William Lawvere
Название: Sets for Mathematics
ISBN: 0521010608 ISBN-13(EAN): 9780521010603
Издательство: Cambridge Academ
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Описание: In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra. Starting with intuitive descriptions of mathematically and physically common phenomena, it leads up to a precise specification of the Category of Sets. Suitable for advanced undergraduates and beginning graduate students.

Автор: Makinson, David
Название: Sets, logic and maths for computing
ISBN: 3030422178 ISBN-13(EAN): 9783030422172
Издательство: Springer
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Цена: 6986.00 р.
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Описание:

This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduate students need to enter the world of computer and information sciences. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. In ten chapters on these topics, the book guides the student through essential concepts and techniques.

The extensively revised second edition provides further clarification of matters that typically give rise to difficulty in the classroom and restructures the chapters on logic to emphasize the role of consequence relations and higher-level rules, as well as including more exercises and solutions.

Topics and features: teaches finite mathematics as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear away confusions; provides numerous exercises, with selected solutions, to test and deepen the reader's understanding.

This clearly-written text/reference is a must-read for first-year undergraduate students of computing. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.

Автор: Buckley James J., Eslami Esfandiar
Название: An Introduction to Fuzzy Logic and Fuzzy Sets
ISBN: 3790814474 ISBN-13(EAN): 9783790814477
Издательство: Springer
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Цена: 7680.00 р.
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Описание: This book is to be the starting point for any curriculum in fuzzy systems in fields like computer science, mathematics, business/economics and engineering. It covers the basics leading to: fuzzy clustering, fuzzy pattern recognition, fuzzy database, fuzzy image processing, soft computing, fuzzy applications in operations research, fuzzy decision making, fuzzy rule based systems, fuzzy systems modeling, fuzzy mathematics. It is not a book designed for researchers - it is where you really learn the "basics" needed for any of the above-mentioned applications.

Автор: SchrГ¶der Bernd
Название: Ordered Sets / An Introduction
ISBN: 0817641289 ISBN-13(EAN): 9780817641283
Издательство: Springer
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Описание: This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. A wide range of material is presented, from classical results such as Dilworth's, Szpilrajn's and Hashimoto's Theorems to more recent results such as the Li--Milner Structure Theorem. Major topics covered include: chains and antichains, lowest upper and greatest lower bounds, retractions, lattices, the dimension of ordered sets, interval orders, lexicographic sums, products, enumeration, algorithmic approaches and the role of algebraic topology. Since there are few prerequisites, the text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory class. After working through a comparatively lean core, the reader can choose from a diverse range of topics such as structure theory, enumeration or algorithmic aspects. Also presented are some key topics less customary to discrete mathematics/graph theory, including a concise introduction to homology for graphs, and the presentation of forward checking as a more efficient alternative to the standard backtracking algorithm. The coverage throughout provides a solid foundation upon which research can be started by a mathematically mature reader. Rich in exercises, illustrations, and open problems, Ordered Sets: An Introduction is an excellent text for undergraduate and graduate students and a good resource for the interested researcher. Readers will discover order theory's role in discrete mathematics as a supplier of ideas as well as an attractive source of applications.

Автор: Smarandache, Florentin
Название: Optimization Theory Based On Neutrosophic And Plithogenic Sets
ISBN: 012819670X ISBN-13(EAN): 9780128196700
Издательство: Elsevier Science
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Описание:

Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic.

Автор: Hand, David J. , Daly, Fergus , McConway, K. ,
Название: A Handbook of Small Data Sets
ISBN: 0367449668 ISBN-13(EAN): 9780367449667
Издательство: Taylor&Francis
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Цена: 9492.00 р.
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Описание: This handbook contains about 500 real small data sets in electronic form on the accompanying data disk, which is in DOS format, with brief descriptions and details of their sources. It is valuable to both teachers and students of statistics.

Автор: Rafael Bello; Rafael Falc?n; Witold Pedrycz
Название: Granular Computing: At the Junction of Rough Sets and Fuzzy Sets
ISBN: 3540769722 ISBN-13(EAN): 9783540769729
Издательство: Springer
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Цена: 30606.00 р.
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Описание: Since their inception, fuzzy and rough set theories have earned a sound, well-deserved reputation owing to their intrinsic capabilities to model uncertainty coming from the real world. This title offers a compilation of the best papers presented at the First International Symposium on Fuzzy and Rough Sets (ISFUROS 2006) held in Santa Clara, Cuba.

Автор: Valdemar F. Andersen
Название: An Introduction to Fuzzy Sets
ISBN: 1536180122 ISBN-13(EAN): 9781536180121
Издательство: Nova Science
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Цена: 11562.00 р.
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Описание: An Introduction to Fuzzy Sets provides a comparison of the quality of life in urban, intermediate and rural NUTS III regions in Portugal, with the main goal of identifying and analysing the necessary and conditions for a high quality of life in those different regions. The authors assess the necessary and sufficient conditions for higher Human Development Index levels, aiming to determine whether the same pattern could be used to explain the happiness index. In order to represent the applications of fuzzy set theory as well as neuro-fuzzy in industry, a literature review of these topics is carried out. As some researchers have ei¬ciently utilized fuzzy logic and neuro-fuzzy, in-depth discussions are provided for stimulating future investigations. Following this, using the L. Zadeh theory of fuzzy sets, the authors consider all types of uncertainties in oil fields and oil production to make a decision as to what model is best in such a fuzzy environment. Additionally, several challenges are explored, such as: the fuzzy random finite difference numerical method, possibilistic uncertainty modeling, and the development of a fuzzy Wilks theorem to model the hybrid structure of randomness and fuzziness modeling. In closing, a standard fuzzy arithmetic method is used for solving fuzzy equations, as well as for the optimization of fuzzy objectives. The fuzzy variable of the equation is fuzzified using a fuzzy set.