Fuzzy Logic: Mathematical Tools for Approximate Reasoning
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Dordrecht
Springer Netherlands
2001
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Schriftenreihe: | Trends in Logic, Studia Logica Library
11 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Fuzzy logic in narrow sense is a promising new chapter of formal logic whose basic ideas were formulated by Lotfi Zadeh (see Zadeh [1975]a). The aim of this theory is to formalize the "approximate reasoning" we use in everyday life, the object of investigation being the human aptitude to manage vague properties (as, for example, "beautiful", "small", "plausible", "believable", etc. ) that by their own nature can be satisfied to a degree different from 0 (false) and I (true). It is worth noting that the traditional deductive framework in many-valued logic is different from the one adopted in this book for fuzzy logic: in the former logics one always uses a "crisp" deduction apparatus, producing crisp sets of formulas, the formulas that are considered logically valid. By contrast, fuzzy logical deductive machinery is devised to produce a fuzzy set of formulas (the theorems) from a fuzzy set of formulas (the hypotheses). Approximate reasoning has generated a very interesting literature in recent years. However, in spite of several basic results, in our opinion, we are still far from a satisfactory setting of this very hard and mysterious subject. The aim of this book is to furnish some theoretical devices and to sketch a general framework for fuzzy logic. This is also in accordance with the non Fregean attitude of the book |
Beschreibung: | 1 Online-Ressource (XII, 271 p) |
ISBN: | 9789401596602 9789048156948 |
ISSN: | 1572-6126 |
DOI: | 10.1007/978-94-015-9660-2 |
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Datensatz im Suchindex
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author | Gerla, Giangiacomo |
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isbn | 9789401596602 9789048156948 |
issn | 1572-6126 |
language | English |
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spelling | Gerla, Giangiacomo Verfasser aut Fuzzy Logic Mathematical Tools for Approximate Reasoning by Giangiacomo Gerla Dordrecht Springer Netherlands 2001 1 Online-Ressource (XII, 271 p) txt rdacontent c rdamedia cr rdacarrier Trends in Logic, Studia Logica Library 11 1572-6126 Fuzzy logic in narrow sense is a promising new chapter of formal logic whose basic ideas were formulated by Lotfi Zadeh (see Zadeh [1975]a). The aim of this theory is to formalize the "approximate reasoning" we use in everyday life, the object of investigation being the human aptitude to manage vague properties (as, for example, "beautiful", "small", "plausible", "believable", etc. ) that by their own nature can be satisfied to a degree different from 0 (false) and I (true). It is worth noting that the traditional deductive framework in many-valued logic is different from the one adopted in this book for fuzzy logic: in the former logics one always uses a "crisp" deduction apparatus, producing crisp sets of formulas, the formulas that are considered logically valid. By contrast, fuzzy logical deductive machinery is devised to produce a fuzzy set of formulas (the theorems) from a fuzzy set of formulas (the hypotheses). Approximate reasoning has generated a very interesting literature in recent years. However, in spite of several basic results, in our opinion, we are still far from a satisfactory setting of this very hard and mysterious subject. The aim of this book is to furnish some theoretical devices and to sketch a general framework for fuzzy logic. This is also in accordance with the non Fregean attitude of the book Mathematics Logic Artificial intelligence Logic, Symbolic and mathematical Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Künstliche Intelligenz Mathematik Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Fuzzy-Menge (DE-588)4061868-7 s 1\p DE-604 https://doi.org/10.1007/978-94-015-9660-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Gerla, Giangiacomo Fuzzy Logic Mathematical Tools for Approximate Reasoning Mathematics Logic Artificial intelligence Logic, Symbolic and mathematical Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Künstliche Intelligenz Mathematik Fuzzy-Menge (DE-588)4061868-7 gnd |
subject_GND | (DE-588)4061868-7 |
title | Fuzzy Logic Mathematical Tools for Approximate Reasoning |
title_auth | Fuzzy Logic Mathematical Tools for Approximate Reasoning |
title_exact_search | Fuzzy Logic Mathematical Tools for Approximate Reasoning |
title_full | Fuzzy Logic Mathematical Tools for Approximate Reasoning by Giangiacomo Gerla |
title_fullStr | Fuzzy Logic Mathematical Tools for Approximate Reasoning by Giangiacomo Gerla |
title_full_unstemmed | Fuzzy Logic Mathematical Tools for Approximate Reasoning by Giangiacomo Gerla |
title_short | Fuzzy Logic |
title_sort | fuzzy logic mathematical tools for approximate reasoning |
title_sub | Mathematical Tools for Approximate Reasoning |
topic | Mathematics Logic Artificial intelligence Logic, Symbolic and mathematical Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Künstliche Intelligenz Mathematik Fuzzy-Menge (DE-588)4061868-7 gnd |
topic_facet | Mathematics Logic Artificial intelligence Logic, Symbolic and mathematical Mathematical Logic and Foundations Artificial Intelligence (incl. Robotics) Künstliche Intelligenz Mathematik Fuzzy-Menge |
url | https://doi.org/10.1007/978-94-015-9660-2 |
work_keys_str_mv | AT gerlagiangiacomo fuzzylogicmathematicaltoolsforapproximatereasoning |