Fundamentals of Fuzzy Sets

Didier Dubois, Henri Prade, Henri M. Prade

Springer Science & Business Media, Jan 31, 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.

Contents

• VI: 21
• IX: 24
• X: 25
• XI: 26
• XII: 31
• XIII: 36
• XIV: 42
• XVI: 47
• XVII: 50
• XVIII: 53
• XIX: 58
• XX: 66
• XXI: 70
• XXIII: 77
• XXIV: 80
• XXV: 81
• XXVI: 82
• XXVII: 84
• XXVIII: 86
• XXIX: 88
• XXX: 89
• XXXI: 90
• XXXII: 91
• XXXIII: 93
• XXXIV: 95
• XXXV: 97
• XXXVI: 100
• XXXVII: 102
• XXXVIII: 104
• XXXIX: 106
• XLI: 125
• XLIII: 127
• XLIV: 129
• XLVI: 130
• XLVII: 131
• XLVIII: 134
• XLIX: 135
• L: 141
• LI: 145
• LII: 146
• LIII: 147
• LIV: 148
• LV: 153
• LVI: 154
• LVII: 156
• LVIII: 158
• LIX: 159
• LX: 160
• LXI: 162
• LXII: 165
• LXIII: 172
• LXIV: 173
• LXV: 179
• LXVI: 181
• LXVII: 184
• LXVIII: 185
• LXIX: 186
• LXX: 187
• LXXI: 195
• LXXIV: 197
• LXXV: 198
• LXXVI: 200
• LXXVII: 201
• LXXVIII: 202
• LXXIX: 203
• LXXX: 211
• LXXXII: 212
• LXXXIII: 213
• LXXXV: 214
• LXXXVII: 215
• LXXXVIII: 216
• XC: 218
• XCI: 220
• XCII: 228
• XCIII: 233
• XCVI: 235
• XCVII: 238
• XCVIII: 241
• XCIX: 246
• C: 254
• CI: 258
• CII: 261
• CIII: 263
• CIV: 267
• CV: 270
• CVI: 279
• CVII: 288
• CVIII: 291
• CIX: 293
• CX: 294
• CXI: 296
• CXII: 297
• CXIII: 299
• CXIV: 301
• CXV: 307
• CXVI: 308
• CXVII: 314
• CXVIII: 316
• CXIX: 317
• CXX: 319
• CXXI: 320
• CXXII: 321
• CXXIII: 323
• CXXIV: 324
• CXXV: 326
• CXXVI: 327
• CXXVII: 329
• CXXVIII: 330
• CXXIX: 332
• CXXXI: 333
• CXXXII: 343
• CXXXIV: 346
• CXXXVI: 349
• CXXXVII: 350
• CXXXVIII: 351
• CXXXIX: 353
• CXL: 354
• CXLI: 356
• CXLII: 358
• CXLIII: 360
• CXLIV: 364
• CXLV: 367
• CXLVI: 368
• CXLVII: 376
• CXLVIII: 378
• CL: 380
• CLI: 381
• CLII: 383
• CLIII: 389
• CLIV: 390
• CLV: 391
• CLVI: 393
• CLVII: 394
• CLVIII: 395
• CLIX: 396
• CLX: 397
• CLXI: 401
• CLXII: 402
• CLXIV: 405
• CLXV: 406
• CLXVI: 408
• CLXVII: 413
• CLXVIII: 414
• CLXIX: 439
• CLXX: 440
• CLXXI: 443
• CLXXII: 444
• CLXXIII: 446
• CLXXIV: 447
• CLXXVI: 449
• CLXXVII: 451
• CLXXVIII: 452
• CLXXX: 453
• CLXXXI: 454
• CLXXXIII: 459
• CLXXXVI: 461
• CLXXXVII: 462
• CLXXXIX: 464
• CXC: 473
• CXCII: 474
• CXCIII: 475
• CXCIV: 477
• CXCV: 478
• CXCVI: 483
• CXCIX: 486
• CCI: 492
• CCII: 497
• CCIII: 498
• CCV: 501
• CCVI: 505
• CCVII: 509
• CCVIII: 511
• CCX: 514
• CCXI: 516
• CCXII: 519
• CCXIII: 521
• CCXV: 524
• CCXVI: 530
• CCXVII: 534
• CCXVIII: 539
• CCXIX: 540
• CCXX: 541
• CCXXI: 542
• CCXXII: 544
• CCXXIII: 553
• CCXXIV: 554
• CCXXV: 558
• CCXXVI: 561
• CCXXVII: 583
• CCXXX: 585
• CCXXXI: 586
• CCXXXII: 587
• CCXXXIII: 588
• CCXXXIV: 590
• CCXXXV: 592
• CCXXXVI: 594
• CCXXXVII: 596
• CCXXXVIII: 599
• CCXXXIX: 600
• CCXL: 603
• CCXLI: 604
• CCXLII: 605
• CCXLIII: 607
• CCXLIV: 608
• CCXLVI: 609
• CCXLVIII: 611
• CCXLIX: 613
• CCLI: 615
• CCLII: 621
• CCLIII: 624
• CCLIV: 625
• CCLV: 628
• CCLVI: 629
• CCLVII: 630
• CCLVIII: 632
• CCLX: 637
• CCLXII: 643

Bibliographic information

• Title: Fundamentals of Fuzzy Sets; Volume 7 of The Handbooks of Fuzzy Sets, ISSN 1388-4352
• Editors: Didier Dubois, Henri Prade, Henri M. Prade
• Edition: illustrated
• Publisher: Springer Science & Business Media, 2000
• ISBN: 079237732X, 9780792377320
• Length: 647 pages
• Subjects: Business & Economics / Decision-Making & Problem Solving; Business & Economics / Operations Research; Computers / Artificial Intelligence / General; Mathematics / General; Mathematics / History & Philosophy; Mathematics / Logic; Mathematics / Set Theory; Technology & Engineering / Mechanical