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Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402L5P" target="_blank" >RIV/61988987:17610/23:A2402L5P - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007/978-3-031-39965-7_7" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-39965-7_7</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-031-39965-7_7" target="_blank" >10.1007/978-3-031-39965-7_7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?

  • Original language description

    The article focuses on a problem that naturally comes to an interest by joining two classical topics, namely the solvability of systems of fuzzy relational equations, and the partiality as a tool for modeling undefined values. As the first topic basically formally investigates the correctness of fuzzy rule-based systems by the investigation of the preservation of modus ponens, the other one allows dealing in an elegant algebraic way with distinct undefined values, in the particular case of the Dragonfly algebra, the focus is on missing values, their connection is straightforward. Indeed, dealing with missing values is rather omnipresent, and distinct expert rule-based systems are not immune to it so, such an investigation is highly desirable. What is not so straightforward are the results ensuring the solvability of such systems, i.e., the existence of safe models of the rules. Some previous results have been published and they relied on restrictions on the algebraic level. This article brings a new insight and investigates, what happens if we refuse to accept such a restriction. The answer is interesting as restricting the choice of the algebra does not seem to be critical but it imposes some restrictions on the sides of the consequents. Luckily, these restrictions are not so critical and restrictive from the application point of view.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10100 - Mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Lecture Notes in Computer Science (vol 14069), Fuzzy Logic and Technology, and Aggregation Operators

  • ISBN

    978-3-031-39964-0

  • ISSN

    0302-9743

  • e-ISSN

    1611-3349

  • Number of pages

    10

  • Pages from-to

    74-85

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Palma de Mallorca

  • Event date

    Jan 1, 2023

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article