An introduction to many-valued and fuzzy logic: semantics, algebras, and derivation systems
Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on undergraduate and graduate courses in non-classical logic. Bergmann discusses the philosophical issues that give rise to fuzzy logic - problems arising from vague language...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBG01 URL des Erstveröffentlichers |
| Zusammenfassung: | Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on undergraduate and graduate courses in non-classical logic. Bergmann discusses the philosophical issues that give rise to fuzzy logic - problems arising from vague language - and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic. The major fuzzy logical systems - Lukasiewicz, Gödel, and product logics - are then presented as generalisations of three-valued systems that successfully address the problems of vagueness. A clear presentation of technical concepts, this book includes exercises throughout the text that pose straightforward problems, that ask students to continue proofs begun in the text, and that engage students in the comparison of logical systems |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 329 pages) |
| ISBN: | 9780511801129 |
| DOI: | 10.1017/CBO9780511801129 |
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| 520 | |a Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on undergraduate and graduate courses in non-classical logic. Bergmann discusses the philosophical issues that give rise to fuzzy logic - problems arising from vague language - and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic. The major fuzzy logical systems - Lukasiewicz, Gödel, and product logics - are then presented as generalisations of three-valued systems that successfully address the problems of vagueness. A clear presentation of technical concepts, this book includes exercises throughout the text that pose straightforward problems, that ask students to continue proofs begun in the text, and that engage students in the comparison of logical systems | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Bergmann, Merrie |
| author_facet | Bergmann, Merrie |
| author_role | aut |
| author_sort | Bergmann, Merrie |
| author_variant | m b mb |
| building | Verbundindex |
| bvnumber | BV043923851 |
| classification_rvk | SK 130 |
| collection | ZDB-20-CBO |
| contents | Review of classical propositional logic -- Review of classical first-order logic -- Alternative semantics for truth-values and truth-functions : numeric truth-values and abstract algebras -- Three-valued propositional logics : semantics -- Derivation systems for three-valued propositional logic -- Three-valued first-order logics : semantics -- Derivation systems for three-valued first-order logics -- Alternative semantics for three-valued logic -- The principle of charity reconsidered and a new problem of the fringe -- Fuzzy propositional logics : semantics -- Fuzzy algebras -- Derivation systems for fuzzy propositional logics -- Fuzzy first-order logics : semantics -- Derivation systems for fuzzy first-order logics -- Extensions of fuzziness -- Fuzzy membership functions |
| ctrlnum | (ZDB-20-CBO)CR9780511801129 (OCoLC)967410517 (DE-599)BVBBV043923851 |
| dewey-full | 511.3/13 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/13 |
| dewey-search | 511.3/13 |
| dewey-sort | 3511.3 213 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511801129 |
| format | Electronic eBook |
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| isbn | 9780511801129 |
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| spelling | Bergmann, Merrie Verfasser aut An introduction to many-valued and fuzzy logic semantics, algebras, and derivation systems Merrie Bergmann An Introduction to Many-Valued & Fuzzy Logic Cambridge Cambridge University Press 2008 1 online resource (xii, 329 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Review of classical propositional logic -- Review of classical first-order logic -- Alternative semantics for truth-values and truth-functions : numeric truth-values and abstract algebras -- Three-valued propositional logics : semantics -- Derivation systems for three-valued propositional logic -- Three-valued first-order logics : semantics -- Derivation systems for three-valued first-order logics -- Alternative semantics for three-valued logic -- The principle of charity reconsidered and a new problem of the fringe -- Fuzzy propositional logics : semantics -- Fuzzy algebras -- Derivation systems for fuzzy propositional logics -- Fuzzy first-order logics : semantics -- Derivation systems for fuzzy first-order logics -- Extensions of fuzziness -- Fuzzy membership functions Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on undergraduate and graduate courses in non-classical logic. Bergmann discusses the philosophical issues that give rise to fuzzy logic - problems arising from vague language - and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic. The major fuzzy logical systems - Lukasiewicz, Gödel, and product logics - are then presented as generalisations of three-valued systems that successfully address the problems of vagueness. A clear presentation of technical concepts, this book includes exercises throughout the text that pose straightforward problems, that ask students to continue proofs begun in the text, and that engage students in the comparison of logical systems Fuzzy logic Many-valued logic Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf Mehrwertige Logik (DE-588)4169335-8 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Mehrwertige Logik (DE-588)4169335-8 s Fuzzy-Logik (DE-588)4341284-1 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-70757-2 Erscheint auch als Druckausgabe 978-0-521-88128-9 https://doi.org/10.1017/CBO9780511801129 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bergmann, Merrie An introduction to many-valued and fuzzy logic semantics, algebras, and derivation systems Review of classical propositional logic -- Review of classical first-order logic -- Alternative semantics for truth-values and truth-functions : numeric truth-values and abstract algebras -- Three-valued propositional logics : semantics -- Derivation systems for three-valued propositional logic -- Three-valued first-order logics : semantics -- Derivation systems for three-valued first-order logics -- Alternative semantics for three-valued logic -- The principle of charity reconsidered and a new problem of the fringe -- Fuzzy propositional logics : semantics -- Fuzzy algebras -- Derivation systems for fuzzy propositional logics -- Fuzzy first-order logics : semantics -- Derivation systems for fuzzy first-order logics -- Extensions of fuzziness -- Fuzzy membership functions Fuzzy logic Many-valued logic Fuzzy-Logik (DE-588)4341284-1 gnd Mehrwertige Logik (DE-588)4169335-8 gnd |
| subject_GND | (DE-588)4341284-1 (DE-588)4169335-8 (DE-588)4123623-3 |
| title | An introduction to many-valued and fuzzy logic semantics, algebras, and derivation systems |
| title_alt | An Introduction to Many-Valued & Fuzzy Logic |
| title_auth | An introduction to many-valued and fuzzy logic semantics, algebras, and derivation systems |
| title_exact_search | An introduction to many-valued and fuzzy logic semantics, algebras, and derivation systems |
| title_full | An introduction to many-valued and fuzzy logic semantics, algebras, and derivation systems Merrie Bergmann |
| title_fullStr | An introduction to many-valued and fuzzy logic semantics, algebras, and derivation systems Merrie Bergmann |
| title_full_unstemmed | An introduction to many-valued and fuzzy logic semantics, algebras, and derivation systems Merrie Bergmann |
| title_short | An introduction to many-valued and fuzzy logic |
| title_sort | an introduction to many valued and fuzzy logic semantics algebras and derivation systems |
| title_sub | semantics, algebras, and derivation systems |
| topic | Fuzzy logic Many-valued logic Fuzzy-Logik (DE-588)4341284-1 gnd Mehrwertige Logik (DE-588)4169335-8 gnd |
| topic_facet | Fuzzy logic Many-valued logic Fuzzy-Logik Mehrwertige Logik Lehrbuch |
| url | https://doi.org/10.1017/CBO9780511801129 |
| work_keys_str_mv | AT bergmannmerrie anintroductiontomanyvaluedandfuzzylogicsemanticsalgebrasandderivationsystems AT bergmannmerrie anintroductiontomanyvaluedfuzzylogic |