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On Virtues of Many-Valued (Fuzzy) Type Theories

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F10%3AA1100ZDC" target="_blank" >RIV/61988987:17610/10:A1100ZDC - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Virtues of Many-Valued (Fuzzy) Type Theories

  • Original language description

    In this paper, we deal with the fuzzy type theory (FTT) --- a higher-order fuzzy logic. There are several kinds of this logic depending on the chosen structure of truth values. Higher-order (fuzzy) logic is still not fully appreciated despite its high explicative power. Our goal is to point out several great virtues of it to convince the reader that this logic is worth of studying and has a potential for many applications. After brief presentation of the main algebraic structures of truth values convenient for FTT, we discuss several virtues of the latter, namely: (1) FTT has a simple and highly uniform syntax, (2) Semantics of FTT is based on a small collection of well-established ideas, (3) FTT is a highly expressive logic and (4) There are practicalextensions of FTT that can be effectively implemented.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Quantitative Logic and Soft Computing 2010

  • ISBN

    978-3-642-15659-5

  • ISSN

  • e-ISSN

  • Number of pages

    17

  • Pages from-to

  • Publisher name

    Springer

  • Place of publication

    Berlin

  • Event location

    Xiamen

  • Event date

    Oct 22, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article