# Fundamentals of Fuzzy Sets

Springer Science & Business Media, 2000 - Business & Economics - 647 pages
Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field.
The first part discusses the historical emergence of fuzzy sets, and delves into fuzzy set connectives, and the representation and measurement of membership functions. The second part covers fuzzy relations, including orderings, similarity, and relational equations. The third part, devoted to uncertainty modelling, introduces possibility theory, contrasting and relating it with probabilities, and reviews information measures of specificity and fuzziness. The last part concerns fuzzy sets on the real line - computation with fuzzy intervals, metric topology of fuzzy numbers, and the calculus of fuzzy-valued functions. Each chapter is written by one or more recognized specialists and offers a tutorial introduction to the topics, together with an extensive bibliography.

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quite useful for people want to learn the fundamentals of different aspects of fuzzy set theory

### Contents

 VI 21 VII 24 VIII 25 IX 26 X 31 XI 36 XII 42 XIV 47
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 XV 50 XVI 53 XVII 58 XVIII 66 XIX 70 XXI 77 XXII 80 XXIII 81 XXIV 82 XXV 84 XXVI 86 XXVII 88 XXVIII 89 XXIX 90 XXX 91 XXXI 93 XXXII 95 XXXIII 97 XXXIV 100 XXXV 102 XXXVI 104 XXXVII 106 XXXIX 125 XLI 127 XLII 129 XLIV 130 XLV 131 XLVI 134 XLVII 135 XLVIII 141 XLIX 145 L 146 LI 147 LII 148 LIII 153 LIV 154 LV 156 LVI 158 LVII 159 LVIII 160 LIX 162 LX 165 LXI 172 LXII 173 LXIII 179 LXIV 181 LXV 184 LXVI 185 LXVII 186 LXVIII 187 LXIX 195 LXX 197 LXXI 198 LXXII 200 LXXIII 201 LXXIV 202 LXXV 203 LXXVI 211 LXXVIII 212 LXXIX 213 LXXXI 214 LXXXIII 215 LXXXIV 216 LXXXVI 218 LXXXVII 220 LXXXVIII 228 LXXXIX 233 XC 235 XCI 238 XCII 241 XCIII 246 XCIV 254 XCV 258 XCVI 261 XCVII 263 XCVIII 267 XCIX 270 C 279 CI 288 CII 291 CIII 293 CIV 294 CV 296 CVI 297 CVII 299 CVIII 301 CIX 307 CX 308 CXI 314 CXII 316 CXIII 317 CXIV 319 CXV 320 CXVI 321 CXVII 323 CXVIII 324 CXIX 326 CXX 327 CXXI 329 CXXII 330 CXXIII 332
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