Closeness in Similarity-Based Reasoning with an Interpolation Condition

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F16%3AA1601DRI" target="_blank" >RIV/61988987:17610/16:A1601DRI - isvavai.cz</a>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Closeness in Similarity-Based Reasoning with an Interpolation Condition

Popis výsledku v původním jazyce

This study considers an approximate reasoning scheme where the knowledge base is a set of fuzzy IF-THEN rules and the inference mechanism is characterized in terms of closeness. We propose the interpretation of this scheme, which uses Ruspini's theory ofconditional consistency and implication measures, and its adaptation to fuzzy sets. In the proposed interpretation, we find the necessary and sufficient conditions to ensure that the computation of the conclusion fulfills the interpolation condition. Weshow that the inference mechanism is equivalent to the compositional rule of inference in the form of $infrightarrow$~composition. Finally, we construct a particular interpretation where all of the considered requirements are satisfied and the inference operator reduces to a piecewise linear interpolation function.

Název v anglickém jazyce

Closeness in Similarity-Based Reasoning with an Interpolation Condition

Popis výsledku anglicky

This study considers an approximate reasoning scheme where the knowledge base is a set of fuzzy IF-THEN rules and the inference mechanism is characterized in terms of closeness. We propose the interpretation of this scheme, which uses Ruspini's theory ofconditional consistency and implication measures, and its adaptation to fuzzy sets. In the proposed interpretation, we find the necessary and sufficient conditions to ensure that the computation of the conclusion fulfills the interpolation condition. Weshow that the inference mechanism is equivalent to the compositional rule of inference in the form of $infrightarrow$~composition. Finally, we construct a particular interpretation where all of the considered requirements are satisfied and the inference operator reduces to a piecewise linear interpolation function.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: Centrum excelence IT4Innovations</a><br>

Návaznosti

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

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

FUZZY SET SYST

ISSN

0165-0114

e-ISSN

—

Svazek periodika

292

Číslo periodika v rámci svazku

1.6.2016

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

14

Strana od-do

333-346

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—