Advances in fuzzy implication functions

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Weitere Verfasser: Baczyński, Michał (HerausgeberIn)
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Sprache:English
Veröffentlicht: Berlin [u.a.] Springer 2013
Schriftenreihe:Studies in fuzziness and soft computing 300
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Datensatz im Suchindex

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adam_text ADVANCES IN FUZZY IMPLICATION FUNCTIONS / : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS AN OVERVIEW OF CONSTRUCTION METHODS OF FUZZY IMPLICATIONS FUZZY IMPLICATIONS: CLASSIFICATION AND A NEW CLASS A SURVEY OF THE DISTRIBUTIVITY OF IMPLICATIONS OVER CONTINUOUS T-NORMS AND THE SIMULTANEOUS SATISFACTION OF THE CONTRAPOSITIVE SYMMETRY IMPLICATION FUNCTIONS IN INTERVAL-VALUED FUZZY SET THEORY (S;N)-IMPLICATIONS ON BOUNDED LATTICES IMPLICATION FUNCTIONS GENERATED USING FUNCTIONS OF ONE VARIABLE COMPOSITIONS OF FUZZY IMPLICATIONS FUZZY IMPLICATIONS: SOME RECENTLY SOLVED PROBLEMS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ADVANCES IN FUZZY IMPLICATION FUNCTIONS / : 2013 ABSTRACT / INHALTSTEXT FUZZY IMPLICATION FUNCTIONS ARE ONE OF THE MAIN OPERATIONS IN FUZZY LOGIC. THEY GENERALIZE THE CLASSICAL IMPLICATION, WHICH TAKES VALUES IN THE SET {0,1}, TO FUZZY LOGIC, WHERE THE TRUTH VALUES BELONG TO THE UNIT INTERVAL [0,1]. THESE FUNCTIONS ARE NOT ONLY FUNDAMENTAL FOR FUZZY LOGIC SYSTEMS, FUZZY CONTROL, APPROXIMATE REASONING AND EXPERT SYSTEMS, BUT THEY ALSO PLAY A SIGNIFICANT ROLE IN MATHEMATICAL FUZZY LOGIC, IN FUZZY MATHEMATICAL MORPHOLOGY AND IMAGE PROCESSING, IN DEFINING FUZZY SUBSETHOOD MEASURES AND IN SOLVING FUZZY RELATIONAL EQUATIONS. THIS VOLUME COLLECTS 8 RESEARCH PAPERS ON FUZZY IMPLICATION FUNCTIONS. THREE ARTICLES FOCUS ON THE CONSTRUCTION METHODS, ON DIFFERENT WAYS OF GENERATING NEW CLASSES AND ON THE COMMON PROPERTIES OF IMPLICATIONS AND THEIR DEPENDENCIES. TWO ARTICLES DISCUSS IMPLICATIONS DEFINED ON LATTICES, IN PARTICULAR IMPLICATION FUNCTIONS IN INTERVAL-VALUED FUZZY SET THEORIES. ONE PAPER SUMMARIZES THE SUFFICIENT AND NECESSARY CONDITIONS OF SOLUTIONS FOR ONE DISTRIBUTIVITY EQUATION OF IMPLICATION. THE FOLLOWING PAPER ANALYZES COMPOSITIONS BASED ON A BINARY OPERATION * AND DISCUSSES THE DEPENDENCIES BETWEEN THE ALGEBRAIC PROPERTIES OF THIS OPERATION AND THE INDUCED SUP-* COMPOSITION. THE LAST ARTICLE DISCUSSES SOME OPEN PROBLEMS RELATED TO FUZZY IMPLICATIONS, WHICH HAVE EITHER BEEN COMPLETELY SOLVED OR THOSE FOR WHICH PARTIAL ANSWERS ARE KNOWN. THESE PAPERS AIM TO PRESENT TODAY’S STATE-OF-THE-ART IN THIS AREA DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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record_format marc
series Studies in fuzziness and soft computing
series2 Studies in fuzziness and soft computing
spellingShingle Advances in fuzzy implication functions
Studies in fuzziness and soft computing
Ingenieurwissenschaften
Künstliche Intelligenz
Artificial intelligence
Engineering
Fuzzy-Logik (DE-588)4341284-1 gnd
Implikation (DE-588)4161414-8 gnd
subject_GND (DE-588)4341284-1
(DE-588)4161414-8
title Advances in fuzzy implication functions
title_auth Advances in fuzzy implication functions
title_exact_search Advances in fuzzy implication functions
title_full Advances in fuzzy implication functions Michał Baczyński ... (eds.)
title_fullStr Advances in fuzzy implication functions Michał Baczyński ... (eds.)
title_full_unstemmed Advances in fuzzy implication functions Michał Baczyński ... (eds.)
title_short Advances in fuzzy implication functions
title_sort advances in fuzzy implication functions
topic Ingenieurwissenschaften
Künstliche Intelligenz
Artificial intelligence
Engineering
Fuzzy-Logik (DE-588)4341284-1 gnd
Implikation (DE-588)4161414-8 gnd
topic_facet Ingenieurwissenschaften
Künstliche Intelligenz
Artificial intelligence
Engineering
Fuzzy-Logik
Implikation
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