Petr Hájek on Mathematical Fuzzy Logic:
Gespeichert in:
| Weitere Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham ; Heidelberg ; New York ; Dordrecht ; London
Springer
[2015]
|
| Schriftenreihe: | Outstanding Contributions to Logic
volume 6 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (xii, 318 Seiten) Diagramme |
| ISBN: | 9783319062334 |
| DOI: | 10.1007/978-3-319-06233-4 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804152850504220672 |
|---|---|
| adam_text | PETR HAJEK ON MATHEMATICAL FUZZY LOGIC
/
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
CHAPTER 1. INTRODUCTION; FRANCESC ESTEVA, LLUIS GODO, SIEGFRIED
GOTTWALD AND FRANCO MONTAGNA
CHAPTER 2. PETR HAJEK: A SCIENTIFIC BIOGRAPHY; ZUZANA HANIKOVA
PART I. FOUNDATIONAL ASPECTS OF MATHEMATICAL FUZZY LOGIC
CHAPTER 3. THE LOGIC OF FUZZY SET THEORY: A HISTORICAL APPROACH;
SIEGFRIED GOTTWALD
CHAPTER 4. SET THEORY AND ARITHMETIC IN FUZZY LOGIC; LIBOR BEHOUNEK AND
ZUZANA HANIKOVA
CHAPTER 5. BRIDGES BETWEEN CONTEXTUAL LINGUISTIC MODELS OF VAGUENESS AND
T-NORM BASED FUZZY LOGIC; CHRISTIAN G. FERMUELLER AND CHRISTOPH ROSCHGER
PART II. SEMANTICS AND CONSEQUENCE RELATION IN MANY-VALUED LOGIC
CHAPTER 6. CONSEQUENCE AND DEGREES OF TRUTH IN MANY-VALUED LOGIC; JOSEP
MARIA FONT
CHAPTER 7. THE DIFFERENTIAL SEMANTICS OF LUKASIEWICZ SYNTACTIC
CONSEQUENCE; DANIELE MUNDICI
CHAPTER 8. TWO PRINCIPLES IN MANY-VALUED LOGIC; STEFANO AGUZZOLI AND
VINCENZO MARRA
PART III. ALGEBRA FOR MANY-VALUED LOGIC
CHAPTER 9. HOW DO `-GROUPS AND PO-GROUPS APPEAR IN ALGEBRAIC AND QUANTUM
STRUCTURES?; ANATOLIJ DVURECENSKIJ
CHAPTER 10. SEMI-LINEAR VARIETIES OF LATTICE-ORDERED ALGEBRAS; ANTONIO
LEDDA, FRANCESCO PAOLI AND CONSTANTINE TSINAKIS
PART IV. MORE RECENT TRENDS
CHAPTER 11. ON POSSIBILISTIC MODAL LOGICS DEFINED OVER MTL-CHAINS;
FELIX BOU, FRANCESC ESTEVA AND LLUIS GODO
CHAPTER 12. THE QUEST FOR THE BASIC FUZZY LOGIC; PETR CINTULA, ROSTISLAV
HORˇCIK AND CARLES NOGUERA
A BIBLIOGRAPHY OF PETR HAJEK
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
PETR HAJEK ON MATHEMATICAL FUZZY LOGIC
/
: 2015
ABSTRACT / INHALTSTEXT
THIS VOLUME CELEBRATES THE WORK OF PETR HAJEK ON MATHEMATICAL FUZZY
LOGIC AND PRESENTS HOW HIS EFFORTS HAVE INFLUENCED PROMINENT LOGICIANS
WHO ARE CONTINUING HIS WORK. THE BOOK OPENS WITH A DISCUSSION ON
HAJEK S CONTRIBUTION TO MATHEMATICAL FUZZY LOGIC AND WITH A SCIENTIFIC
BIOGRAPHY OF HIM, PROGRESSES TO INCLUDE TWO ARTICLES WITH A FOUNDATION
FLAVOUR, THAT DEMONSTRATE SOME IMPORTANT ASPECTS OF HAJEK S PRODUCTION,
NAMELY, A PAPER ON THE DEVELOPMENT OF FUZZY SETS AND ANOTHER PAPER ON
SOME FUZZY VERSIONS OF SET THEORY AND ARITHMETIC. ARTICLES IN THE VOLUME
ALSO FOCUS ON THE TREATMENT OF VAGUENESS, BUILDING CONNECTIONS BETWEEN
HAJEK S FAVORITE FUZZY LOGIC AND LINGUISTIC MODELS OF VAGUENESS. OTHER
ARTICLES INTRODUCE ALTERNATIVE NOTIONS OF CONSEQUENCE RELATION, NAMELY,
THE PRESERVATION OF TRUTH DEGREES, WHICH IS DISCUSSED IN A GENERAL
CONTEXT, AND THE DIFFERENTIAL SEMANTICS. FOR THE LATTER, A SURPRISING
STRONG STANDARD COMPLETENESS THEOREM IS PROVED.ANOTHER CONTRIBUTION ALSO
LOOKS AT TWO PRINCIPLES VALID IN CLASSICAL LOGIC AND CHARACTERIZE THE
THREE MAIN T-NORM LOGICS IN TERMS OF THESE PRINCIPLES. OTHER
ARTICLES, WITH AN ALGEBRAIC FLAVOR, OFFER A SUMMARY OF THE APPLICATIONS
OF LATTICE ORDERED-GROUPS TO MANY-VALUED LOGIC AND TO QUANTUM LOGIC, AS
WELL AS AN INVESTIGATION OF PRELINEARITY IN VARIETIES OF POINTED LATTICE
ORDERED ALGEBRAS THAT SATISFY A WEAK FORM OF DISTRIBUTIVITY AND HAVE A
VERY WEAK IMPLICATION. THE LAST PART OF THE VOLUME CONTAINS AN ARTICLE
ON POSSIBILISTIC MODAL LOGICS DEFINED OVER MTL CHAINS, A TOPIC THAT
HAJEK DISCUSSED IN HIS CELEBRATED WORK, METAMATHEMATICS OF FUZZY LOGIC,
AND ANOTHER ONE WHERE THE AUTHORS, BESIDES OF OFFERING UNEXPECTED
PREMISES SUCH AS PROPOSING TO CALL HAJEK S BASIC FUZZY LOGIC HL,
INSTEAD OF BL, PROPOSE A VERY WEAK SYSTEM, CALLED SL AS A CANDIDATE FOR
THE ROLE OF THE REALLY BASIC FUZZY LOGIC.THE PAPER ALSO PROVIDES A
GENERALIZATION OF THE PRELINEARITY AXIOM, WHICH WAS INVESTIGATED BY
HAJEK IN THE CONTEXT OF FUZZY LOGIC
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-06233-4 |
| format | Electronic eBook |
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| id | DE-604.BV042283741 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:17:16Z |
| institution | BVB |
| isbn | 9783319062334 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027721063 |
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| publisher | Springer |
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| series | Outstanding Contributions to Logic |
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| spelling | Petr Hájek on Mathematical Fuzzy Logic Franco Montagna, editor Cham ; Heidelberg ; New York ; Dordrecht ; London Springer [2015] © 2015 1 Online-Ressource (xii, 318 Seiten) Diagramme txt rdacontent c rdamedia cr rdacarrier Outstanding Contributions to Logic volume 6 Hájek, Petr 1940- (DE-588)143699024 gnd rswk-swf Mathematik Mathematics Logic Logic, Symbolic and mathematical Mathematik (DE-588)4037944-9 gnd rswk-swf Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Hájek, Petr 1940- (DE-588)143699024 p Mathematik (DE-588)4037944-9 s Fuzzy-Logik (DE-588)4341284-1 s DE-604 Montagna, Franco edt Erscheint auch als Druckausgabe 978-3-319-06232-7 Outstanding Contributions to Logic volume 6 (DE-604)BV044777701 6 https://doi.org/10.1007/978-3-319-06233-4 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027721063&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027721063&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Petr Hájek on Mathematical Fuzzy Logic Outstanding Contributions to Logic Hájek, Petr 1940- (DE-588)143699024 gnd Mathematik Mathematics Logic Logic, Symbolic and mathematical Mathematik (DE-588)4037944-9 gnd Fuzzy-Logik (DE-588)4341284-1 gnd |
| subject_GND | (DE-588)143699024 (DE-588)4037944-9 (DE-588)4341284-1 (DE-588)4143413-4 |
| title | Petr Hájek on Mathematical Fuzzy Logic |
| title_auth | Petr Hájek on Mathematical Fuzzy Logic |
| title_exact_search | Petr Hájek on Mathematical Fuzzy Logic |
| title_full | Petr Hájek on Mathematical Fuzzy Logic Franco Montagna, editor |
| title_fullStr | Petr Hájek on Mathematical Fuzzy Logic Franco Montagna, editor |
| title_full_unstemmed | Petr Hájek on Mathematical Fuzzy Logic Franco Montagna, editor |
| title_short | Petr Hájek on Mathematical Fuzzy Logic |
| title_sort | petr hajek on mathematical fuzzy logic |
| topic | Hájek, Petr 1940- (DE-588)143699024 gnd Mathematik Mathematics Logic Logic, Symbolic and mathematical Mathematik (DE-588)4037944-9 gnd Fuzzy-Logik (DE-588)4341284-1 gnd |
| topic_facet | Hájek, Petr 1940- Mathematik Mathematics Logic Logic, Symbolic and mathematical Fuzzy-Logik Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-319-06233-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027721063&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027721063&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV044777701 |
| work_keys_str_mv | AT montagnafranco petrhajekonmathematicalfuzzylogic |