000 03687nam a22004815i 4500
001 978-3-642-35677-3
003 DE-He213
005 20140220082901.0
007 cr nn 008mamaa
008 130125s2013 gw | s |||| 0|eng d
020 _a9783642356773
_9978-3-642-35677-3
024 7 _a10.1007/978-3-642-35677-3
_2doi
050 4 _aQ342
072 7 _aUYQ
_2bicssc
072 7 _aCOM004000
_2bisacsh
082 0 4 _a006.3
_223
100 1 _aBaczyński, Michał.
_eeditor.
245 1 0 _aAdvances in Fuzzy Implication Functions
_h[electronic resource] /
_cedited by Michał Baczyński, Gleb Beliakov, Humberto Bustince Sola, Ana Pradera.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXII, 210 p. 40 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Fuzziness and Soft Computing,
_x1434-9922 ;
_v300
505 0 _aAn 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.
520 _aFuzzy 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.
650 0 _aEngineering.
650 0 _aArtificial intelligence.
650 1 4 _aEngineering.
650 2 4 _aComputational Intelligence.
650 2 4 _aArtificial Intelligence (incl. Robotics).
700 1 _aBeliakov, Gleb.
_eeditor.
700 1 _aBustince Sola, Humberto.
_eeditor.
700 1 _aPradera, Ana.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642356766
830 0 _aStudies in Fuzziness and Soft Computing,
_x1434-9922 ;
_v300
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-35677-3
912 _aZDB-2-ENG
999 _c97696
_d97696