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Description
  • The notions of overlapping and grouping arise from the problem how to assign an object to exactly one class among several available. In this respect, overlaps and groupings are connected with t-norms and t-conorms. However, there are some properties of t-norms and t-conorms that are not valid for overlaps and groupings, for example, that any t-norm is less than or equal than any t-conorm. This fact motivates the proposed research. Specifically, we determine conditions to ensure that an overlap is smaller than a certain grouping and methods to define operators satisfying such ordering. The relevance of this study is visible at the end of the paper by the inclusion of an illustrative example in the context of image processing.
  • The notions of overlapping and grouping arise from the problem how to assign an object to exactly one class among several available. In this respect, overlaps and groupings are connected with t-norms and t-conorms. However, there are some properties of t-norms and t-conorms that are not valid for overlaps and groupings, for example, that any t-norm is less than or equal than any t-conorm. This fact motivates the proposed research. Specifically, we determine conditions to ensure that an overlap is smaller than a certain grouping and methods to define operators satisfying such ordering. The relevance of this study is visible at the end of the paper by the inclusion of an illustrative example in the context of image processing. (en)
Title
  • Upper bounding overlaps by groupings
  • Upper bounding overlaps by groupings (en)
skos:prefLabel
  • Upper bounding overlaps by groupings
  • Upper bounding overlaps by groupings (en)
skos:notation
  • RIV/61988987:17610/15:A1501C8U!RIV15-MSM-17610___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED1.1.00/02.0070), P(EE2.3.30.0010)
http://linked.open...iv/cisloPeriodika
  • duben 2015
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 483
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17610/15:A1501C8U
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Overlaps; Groupings; Aggregators; Image processing (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [E601BB2E28C7]
http://linked.open...i/riv/nazevZdroje
  • FUZZY SET SYST
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 264
http://linked.open...iv/tvurceVysledku
  • Bustince, Humberto
  • Perfiljeva, Irina
  • Madrid, Nicolás Miguel
  • Burusco, Ana
  • Fenandez, Javier
issn
  • 0165-0114
number of pages
http://localhost/t...ganizacniJednotka
  • 17610
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