bibtype M - Monography Chapter
ARLID 0432930
utime 20250112200520.0
mtime 20141015235959.9
SCOPUS 85067918242
WOS 000351634900017
DOI 10.1007/978-3-319-06233-4_12
title (primary) (eng) The Quest for the Basic Fuzzy Logic
specification
page_count 46 s.
book_pages 318
media_type P
serial
ARLID cav_un_epca*0432929
ISBN 978-3-319-06232-7
ISSN 2211-2758
title Petr Hájek on Mathematical Fuzzy Logic
page_num 245-290
publisher
place Cham
name Springer
year 2015
editor
name1 Montagna
name2 F.
keyword mathematical fuzzy logic
keyword basic fuzzy logic
keyword T-norm
keyword core fuzzy logics
keyword core semilinear logics
keyword non-associative substructural logics
keyword standard completeness
author (primary)
ARLID cav_un_auth*0100737
name1 Cintula
name2 Petr
institution UIVT-O
full_dept (cz) Oddělení teoretické informatiky
full_dept (eng) Department of Theoretical Computer Science
full_dept Department of Theoretical Computer Science
garant K
fullinstit Ústav informatiky AV ČR, v. v. i.
author
ARLID cav_un_auth*0208971
name1 Horčík
name2 Rostislav
institution UIVT-O
full_dept (cz) Oddělení teoretické informatiky
full_dept Department of Theoretical Computer Science
full_dept Department of Theoretical Computer Science
fullinstit Ústav informatiky AV ČR, v. v. i.
author
ARLID cav_un_auth*0293476
name1 Noguera
name2 Carles
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
cas_special
project
project_id GAP202/10/1826
agency GA ČR
ARLID cav_un_auth*0260903
project
project_id GA13-14654S
agency GA ČR
ARLID cav_un_auth*0292719
project
project_id 247584
agency EC
country XE
ARLID cav_un_auth*0323440
project
project_id TIN2010-20967-C04-01
agency MICINN project TASSAT
country XE
ARLID cav_un_auth*0303838
abstract (eng) The quest for basic fuzzy logic was initiated by Petr Hájek when he proposed his basic fuzzy logic BL, complete with respect to the semantics given by all continuous t-norms. Later weaker systems, such as MTL, UL or psMT^r, complete with respect to broader (but still meaningful for fuzzy logics) semantics, have been introduced and disputed the throne of the basic fuzzy logic. We contribute to the quest with our own proposal of a basic fuzzy logic. Indeed, we put forth a very weak logic calleda SL^\ell, introduced and studied in earlier works of the authors, and propose it as a base of a new framework which allows to work in a uniform way with both propositional and first-order fuzzy logics.
RIV BA
reportyear 2015
mrcbC52 4 R 4r a 20231122140509.2 A 20250112200520.0
inst_support RVO:67985807
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0237239
confidential S
mrcbC86 n.a. Article Mathematics|Logic
arlyear 2015
mrcbTft \nSoubory v repozitáři: dodatecne_citace_k_0432930.pdf, 0432930.pdf
mrcbU14 85067918242 SCOPUS
mrcbU34 000351634900017 WOS
mrcbU63 cav_un_epca*0432929 Petr Hájek on Mathematical Fuzzy Logic Springer 2015 Cham 245 290 978-3-319-06232-7 Outstanding Contributions to Logic 6 2211-2758
mrcbU67 Montagna F. 340