An Introduction to Fuzzy Logic and Fuzzy Sets

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Springer Science & Business Media, Jan 11, 2002 - Computers - 284 pages
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This book is intended to be an undergraduate introduction to the theory of fuzzy sets. We envision, sometime in the future, a curriculum in fuzzy sys tems theory, which could be in computer /information sciences, mathematics, engineering or economics (business, finance), with this book as the starting point. It is not a book for researchers but a book for beginners where you learn the basics. This course would be analogous to a pre-calculus course where a student studies algebra, functions and trigonometry in preparation for more advanced courses. Chapters 3 through 11 are on fuzzy algebra, fuzzy functions, fuzzy trigonometry, fuzzy geometry, and solving fuzzy equations. However, after this course the student doesn't go on to calculus but to more specialized courses in fuzzy systems theory like fuzzy clustering, fuzzy pattern recogni tion, fuzzy database, fuzzy image processing and computer vision, robotics, intelligent agents, soft computing, fuzzy rule based systems (control, expert systems), fuzzy decision making, applications to operations research, fuzzy mathematics, fuzzy systems modeling, etc. Therefore, very little of most of these topics are included in this book. There are many new topics included in this book. Let us point out some of them here: (1) mixed fuzzy logic (Section 3.5); (2) three methods of solving fuzzy equation/problems (Chapter 5); (3) solving fuzzy inequalities (Chapter 6); (4) inverse fuzzy functions (Section 8.5); (5) fuzzy plane geometry (Chap ter 9); (6) fuzzy trigonometry (Chapter 10); and (7) fuzzy optimization based on genetic algorithms (Chapter 16).
  

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Contents

I
1
II
5
III
10
IV
12
V
15
VI
17
VII
19
VIII
21
LI
129
LII
132
LIII
134
LIV
138
LV
141
LVI
147
LVII
150
LVIII
153

IX
29
X
31
XI
36
XII
38
XIII
40
XIV
42
XV
44
XVI
46
XVII
48
XVIII
50
XIX
52
XX
55
XXI
60
XXII
63
XXIV
68
XXV
69
XXVI
71
XXVII
74
XXVIII
76
XXIX
78
XXX
79
XXXI
82
XXXII
84
XXXIII
85
XXXIV
89
XXXV
91
XXXVI
93
XXXVII
95
XXXVIII
96
XXXIX
97
XL
99
XLI
101
XLII
102
XLIII
106
XLIV
109
XLV
112
XLVI
114
XLVII
115
XLVIII
120
XLIX
122
L
126
LIX
155
LX
161
LXI
163
LXII
166
LXIII
168
LXIV
173
LXV
175
LXVI
181
LXVII
185
LXVIII
190
LXIX
192
LXX
194
LXXI
195
LXXII
201
LXXIII
203
LXXIV
206
LXXV
208
LXXVI
212
LXXVII
215
LXXVIII
222
LXXIX
224
LXXX
229
LXXXI
231
LXXXII
237
LXXXIII
240
LXXXIV
242
LXXXV
244
LXXXVI
248
LXXXVII
249
LXXXVIII
252
LXXXIX
253
XC
259
XCI
261
XCII
266
XCIII
268
XCIV
274
XCV
277
XCVI
283
XCVII
285
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About the author (2002)

James J. Buckley is Professor of Theology at Loyola College in Maryland. He is the author of "Seeking the Humanity of God. "Professors Jones and Buckley are the editors of "Modern Theology" and the General Editors of the series "Blackwell Readings in Modern Theology."

L. Gregory Jones is Professor at Duke University Divinity School. He is the author of three books, including most recently "Embodying Forgiveness.

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