A Note on Axiomatizations of Pavelka-style Complete Fuzzy Logics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F16%3A00436177" target="_blank" >RIV/67985807:_____/16:00436177 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.fss.2014.11.021" target="_blank" >http://dx.doi.org/10.1016/j.fss.2014.11.021</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2014.11.021" target="_blank" >10.1016/j.fss.2014.11.021</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A Note on Axiomatizations of Pavelka-style Complete Fuzzy Logics

Popis výsledku v původním jazyce

Pavelka-style completeness, a property relating degrees of provability and truth, was previously studied mainly in the context of logics with continuous connectives. It is known that in some other logics one can use infinitary deduction rule(s) to retain this form of completeness. The present paper offers a systematic study of this idea for fuzzy logics which expand MTL and are given by a fixed standard algebra. We explore the structure of the class of all ’reasonable’ expansions of any such logic by rational truth constants and, for several prominent cases, provide axiomatizations of particular expansions enjoying the Pavelka-style completeness.

Název v anglickém jazyce

A Note on Axiomatizations of Pavelka-style Complete Fuzzy Logics

Popis výsledku anglicky

Pavelka-style completeness, a property relating degrees of provability and truth, was previously studied mainly in the context of logics with continuous connectives. It is known that in some other logics one can use infinitary deduction rule(s) to retain this form of completeness. The present paper offers a systematic study of this idea for fuzzy logics which expand MTL and are given by a fixed standard algebra. We explore the structure of the class of all ’reasonable’ expansions of any such logic by rational truth constants and, for several prominent cases, provide axiomatizations of particular expansions enjoying the Pavelka-style completeness.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GAP202%2F10%2F1826" target="_blank" >GAP202/10/1826: Matematická fuzzy logika v informatice</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Fuzzy Sets and Systems

ISSN

0165-0114

e-ISSN

—

Svazek periodika

292

Číslo periodika v rámci svazku

1 June

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

15

Strana od-do

160-174

Kód UT WoS článku

000371786900010

EID výsledku v databázi Scopus

2-s2.0-84919459308