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" Fuzzy set theory : "
by R. Lowen.
Document Type
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BL
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Record Number
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776515
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Doc. No
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b596512
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Main Entry
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by R. Lowen.
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Title & Author
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Fuzzy set theory : : basic concepts, techniques and bibliography\ by R. Lowen.
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Publication Statement
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Dordrecht ; London : Springer, 2011
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Page. NO
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(1 v)
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ISBN
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9048147069
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: 9401587418
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: 9789048147069
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: 9789401587419
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Notes
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Originally published: Dordrecht; London: Kluwer Academic Publishers, 1996.
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Contents
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List of Figures. Preface. 1: Elementary Set Theory. 1. Sets and subsets. 2. Functions and relations. 3. Partially ordered sets. 4. The lattice of subsets of a set. 5. Characteristic functions. 6. Notes. 2: Fuzzy Sets. 1. Definitions and examples. 2. Lattice theoretical operations on fuzzy sets. 3. Pseudocomplementation. 4. Fuzzy sets, functions and fuzzy relations. 5. alpha-levels. 6. Notes. 3: t-Norms, t-Conorms and Negations. 1. Pointwise extensions. 2. t-Norms and t-Conorms. 3. Negations. 4. Notes. 4: Special Types of Fuzzy Sets. 1. Normal fuzzy sets. 2. Convex fuzzy sets. 3. Piecewise linear fuzzy sets. 4. Compact fuzzy sets. 5. Notes. 5: Fuzzy Real Numbers. 1. The probabilistic view. 2. The non-probabilistic view. 3. Interpolation. 4. Notes. 6: Fuzzy Logic. 1. Connectives in classical logic. 2. Fundamental classical theorems. 3. Basic principles of fuzzy logic. 4. Lattice generated fuzzy connectives. 5. t-Norm generated fuzzy connectives. 6. Probabilistically generated fuzzy connectives. 7. Notes. 7: Bibliography. 1. Books. 2. Articles. Index.
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Subject
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Fuzzy sets.
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LC Classification
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QA248.5B975 2011
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Added Entry
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Robert Lowen
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