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Residual implications on lattice L of intuitionistic truth values based on powers of continuous t-norms

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2202ABB" target="_blank" >RIV/61988987:17610/21:A2202ABB - isvavai.cz</a>

  • Result on the web

    <a href="https://linkinghub.elsevier.com/retrieve/pii/S0020025520310215" target="_blank" >https://linkinghub.elsevier.com/retrieve/pii/S0020025520310215</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.ins.2020.10.040" target="_blank" >10.1016/j.ins.2020.10.040</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Residual implications on lattice L of intuitionistic truth values based on powers of continuous t-norms

  • Original language description

    Residual implications are a special class of implications on the lattice L of intuitionistic truth values which possess interesting theoretical and practical properties. Many studies have investigated the properties of the types of implications on L and established the relationships among them. In this paper, the powers of the continuous t-norms T on L are introduced, and their properties studied. A new type of implication on L, termed the T-power based implication, is derived from the powers of the continuous t-norms T, as denoted by IIT and satisfies certain properties of the residual implications defined on the interval [0, 1] under certain conditions. Some important properties are analyzed. These results collectively reveal that they do not intersect the most well-known classes of fuzzy implications. Finally, we investigate the solutions of some Boolean-like laws for IIT.

  • 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

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Information Sciences

  • ISSN

    0020-0255

  • e-ISSN

  • Volume of the periodical

    550

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    20

  • Pages from-to

    109-128

  • UT code for WoS article

    000605760900008

  • EID of the result in the Scopus database