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A calculus for containment of fuzzy attributes

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73588190" target="_blank" >RIV/61989592:15310/18:73588190 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007%2Fs00500-017-2972-1" target="_blank" >https://link.springer.com/article/10.1007%2Fs00500-017-2972-1</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00500-017-2972-1" target="_blank" >10.1007/s00500-017-2972-1</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A calculus for containment of fuzzy attributes

  • Original language description

    Dependencies in data describing objects and their attributes represent a key topic in understanding relational data. In this paper, we examine certain dependencies of data described by fuzzy attributes such as green or high performance, i.e. attributes which apply to objects to certain degrees. Such attributes subsume Boolean attributes as a particular case. We utilize the framework of residuated structures of truth degrees as developed in modern fuzzy logic and examine several fundamental problems for our dependencies. These include connections to existing dependencies for fuzzy as well as Boolean attributes, connections to interior- and closure-like structures, definition and properties of semantic entailment including an efficient check of entailment, various model-theoretical properties, a logical calculus of the dependencies inspired by the well-known Armstrong rules with its ordinary-style as well as graded-style syntactico-semantical completeness, fully informative sets of all dependencies that are valid in given data including a constructive description of minimal such sets, as well as various other problems.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GA15-17899S" target="_blank" >GA15-17899S: Decompositions of Matrices with Boolean and Ordinal Data: Theory and Algorithms</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    SOFT COMPUTING

  • ISSN

    1432-7643

  • e-ISSN

  • Volume of the periodical

    22

  • Issue of the periodical within the volume

    19

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    12

  • Pages from-to

    6299-6310

  • UT code for WoS article

    000444010500003

  • EID of the result in the Scopus database

    2-s2.0-85037694253