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Fuzzy Set Theory — and Its Applications

Posted By: AvaxGenius
Fuzzy Set Theory — and Its Applications

Fuzzy Set Theory — and Its Applications by H.-J. Zimmermann
English | PDF | 1985 | 366 Pages | ISBN : 9401571554 | 11.6 MB

Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others. Theoretical advances have been made in many directions. In fact it seems extremely difficult for a newcomer to the field or for somebody who wants to apply fuzzy set theory to his problems to recognize properly the present "state of the art." Therefore, many applications use fuzzy set theory on a much more elementary level than appropriate and necessary. On the other hand, theoretical publications are already so specialized and assume such a background in fuzzy set theory that they are hard to understand.

Naive Set Theory

Posted By: step778
Naive Set Theory

Paul R. Halmos, "Naive Set Theory"
English | 1974 | pages: 112 | ISBN: 0464978556, 1258801760, 1774641828 | PDF | 2,4 mb

Fundamentals of Contemporary Set Theory

Posted By: AvaxGenius
Fundamentals of Contemporary Set Theory

Fundamentals of Contemporary Set Theory by Keith J. Devlin
English | PDF | 1979 | 191 Pages | ISBN : 0387904417 | 13.4 MB

This book is intended to provide an account of those parts of contemporary set theory which are of direct relevance to other areas of pure mathematics. The intended reader is either an advanced level undergraduate, or a beginning graduate student in mathematics, or else an accomplished mathematician who desires or needs a familiarity with modern set theory. The book is written in a fairly easy going style, with a minimum of formalism (a format characteristic of contemporary set theory) • In Chapter I the basic principles of set theory are developed in a "naive" tl manner. Here the notions of "set I II union " , "intersection", "power set" I "relation" I "function" etc. are defined and discussed. One assumption in writing this chapter has been that whereas the reader may have met all of these concepts before, and be familiar with their usage, he may not have considered the various notions as forming part of the continuous development of a pure subject (namely set theory) • Consequently, our development is at the same time rigorous and fast. Chapter II develops the theory of sets proper. Starting with the naive set theory of Chapter I, we begin by asking the question "What is a set?" Attempts to give a rLgorous answer lead naturally to the axioms of set theory introduced by Zermelo and Fraenkel, which is the system taken as basic in this book.

A Gentle Introduction to Group Theory

Posted By: AvaxGenius
A Gentle Introduction to Group Theory

A Gentle Introduction to Group Theory by Bana Al Subaiei , Muneerah Al Nuwairan
English | EPUB (True) | 2023 | 429 Pages | ISBN : 9819901464 | 72.3 MB

The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics, chemistry, geometry, and many fields in mathematics.

A Gentle Introduction to Group Theory

Posted By: AvaxGenius
A Gentle Introduction to Group Theory

A Gentle Introduction to Group Theory by Bana Al Subaiei , Muneerah Al Nuwairan
English | PDF (True) | 2023 | 429 Pages | ISBN : 9819901464 | 14.3 MB

The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics, chemistry, geometry, and many fields in mathematics.

Finitely Supported Mathematics: An Introduction

Posted By: AvaxGenius
Finitely Supported Mathematics: An Introduction

Finitely Supported Mathematics: An Introduction by Andrei Alexandru, Gabriel Ciobanu
English | PDF(True) | 2016 | 188 Pages | ISBN : 3319422812 | 1.69 MB

In this book the authors present an alternative set theory dealing with a more relaxed notion of infiniteness, called finitely supported mathematics (FSM). It has strong connections to the Fraenkel-Mostowski (FM) permutative model of Zermelo-Fraenkel (ZF) set theory with atoms and to the theory of (generalized) nominal sets. More exactly, FSM is ZF mathematics rephrased in terms of finitely supported structures, where the set of atoms is infinite (not necessarily countable as for nominal sets). In FSM, 'sets' are replaced either by `invariant sets' (sets endowed with some group actions satisfying a finite support requirement) or by `finitely supported sets' (finitely supported elements in the powerset of an invariant set). It is a theory of `invariant algebraic structures' in which infinite algebraic structures are characterized by using their finite supports.

Topology II Homotopy: and Homology. Classical Manifolds

Posted By: AvaxGenius
Topology II Homotopy: and Homology. Classical Manifolds

Topology II Homotopy: and Homology. Classical Manifolds by S. P. Novikov, V. A. Rokhlin
English | PDF | 2004 | 264 Pages | ISBN : 3540519963 | 26.2 MB

Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.

q-Rung Orthopair Fuzzy Sets: Theory and Applications

Posted By: AvaxGenius
q-Rung Orthopair Fuzzy Sets: Theory and Applications

q-Rung Orthopair Fuzzy Sets: Theory and Applications by Harish Garg
English | PDF,EPUB | 2022 | 558 Pages | ISBN : 9811914486 | 72.5 MB

This book collects chapters which discuss interdisciplinary solutions to complex problems by using different approaches in order to save money, time and resources. The book presents the results on the recent advancements in artificial intelligence, computational intelligence, decision-making problems, emerging problems and practical achievements in the broad knowledge management field. q-ROFS is one of the hot topics for all the researchers, industrialists as well as academicians. This book is of interest to professionals and researchers working in the field of decision making and computational intelligence, as well as postgraduate and undergraduate students studying applications of fuzzy sets.

Set Theory of the Continuum

Posted By: DZ123
Set Theory of the Continuum

Haim Judah, Winfried Just, Hugh Woodin, "Set Theory of the Continuum"
English | 1992 | ISBN: 0387978747, 1461397561 | DJVU | pages: 416 | 3.8 mb

A.P. Morse’s Set Theory and Analysis

Posted By: AvaxGenius
A.P. Morse’s Set Theory and Analysis

A.P. Morse’s Set Theory and Analysis by Robert A. Alps
English | PDF | 2022 | 523 Pages | ISBN : 3031053540 | 3.9 MB

This volume explores A.P. Morse’s (1911-1984) development of a formal language for writing mathematics, his application of that language in set theory and mathematical analysis, and his unique perspective on mathematics. The editor brings together a variety of Morse’s works in this compilation, including Morse's book A Theory of Sets, Second Edition (1986), in addition to material from another of Morse’s publications, Web Derivatives, and notes for a course on analysis from the early 1950's. Because Morse provided very little in the way of explanation in his written works, the editor’s commentary serves to outline Morse’s goals, give informal explanations of Morse’s formal language, and compare Morse’s often unique approaches to more traditional approaches. Minor corrections to Morse’s previously published works have also been incorporated into the text, including some updated axioms, theorems, and definitions. The editor’s introduction thoroughly details the corrections and changes made and provides readers with valuable insight on Morse’s methods.

FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS

Posted By: DZ123
FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS

Alessandro Cordelli, "FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS"
English | 2015 | ASIN: B00UDCMPP8 | EPUB | pages: 72 | 0.5 mb

A simple introduction to set notation

Posted By: DZ123
A simple introduction to set notation

Emmanuel Gilliard, "A simple introduction to set notation"
English | 2020 | ASIN: B08LBVWC9N | EPUB | pages: 98 | 1.4 mb

From Linear Operators to Computational Biology: Essays in Memory of Jacob T. Schwartz

Posted By: AvaxGenius
From Linear Operators to Computational Biology: Essays in Memory of Jacob T. Schwartz

From Linear Operators to Computational Biology: Essays in Memory of Jacob T. Schwartz by Martin Davis
English | PDF | 2013 | 213 Pages | ISBN : 1447142810 | 2.5 MB

In his rich and varied career as a mathematician, computer scientist, and educator, Jacob T. Schwartz wrote seminal works in analysis, mathematical economics, programming languages, algorithmics, and computational geometry. In this volume of essays, his friends, students, and collaborators at the Courant Institute of Mathematical Sciences present recent results in some of the fields that Schwartz explored: quantum theory, the theory and practice of programming, program correctness and decision procedures, dextrous manipulation in Robotics, motion planning, and genomics. In addition to presenting recent results in these fields, these essays illuminate the astonishingly productive trajectory of a brilliant and original scientist and thinker.

Multiplitism: Set Theory and Sociology

Posted By: AvaxGenius
Multiplitism: Set Theory and Sociology

Multiplitism: Set Theory and Sociology by Eliran Bar-El
English | EPUB | 2021 | 124 Pages | ISBN : 3030870510 | 0.6 MB

This book presents a set theoretical approach to sociological research. It revisits existing sociological approaches and discusses their limitations, before suggesting an alternative. While the existing canonical approaches of Positivism, Conflictualism, and Pragmatism are based on biology, history, and physics, respectively, the set theoretical approach is based on mathematics. Utilising its philosophical exploration delineated by Alain Badiou, the book further translates his work into the field of social science.

Fundamentals of Analysis with Applications

Posted By: AvaxGenius
Fundamentals of Analysis with Applications

Fundamentals of Analysis with Applications by Atul Kumar Razdan
English | EPUB | 2022 | 491 Pages | ISBN : 9811683824 | 41.4 MB

This book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces, continuity and differentiability, sequences and series, Lebesgue integration, and Fourier series. It is primarily focused on the applications of analytical methods to solving partial differential equations rooted in many important problems in mathematics, physics, engineering, and related fields. Both the presentation and treatment of topics are fashioned to meet the expectations of interested readers working in any branch of science and technology.