Extensional subobjects in categories of -fuzzy sets
Czechoslovak Mathematical Journal (2007)
- Volume: 57, Issue: 2, page 631-645
- ISSN: 0011-4642
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topMočkoř, Jiří. "Extensional subobjects in categories of $\Omega $-fuzzy sets." Czechoslovak Mathematical Journal 57.2 (2007): 631-645. <http://eudml.org/doc/31151>.
@article{Močkoř2007,
abstract = {Two categories $\mathbb \{Set\}(\Omega )$ and $\mathbb \{SetF\}(\Omega )$ of fuzzy sets over an $MV$-algebra $\Omega $ are investigated. Full subcategories of these categories are introduced consisting of objects $(\mathop \{\{\mathrm \{s\}ub\}\}(A,\delta )$, $\sigma )$, where $\mathop \{\{\mathrm \{s\}ub\}\}(A,\delta )$ is a subset of all extensional subobjects of an object $(A,\delta )$. It is proved that all these subcategories are quasi-reflective subcategories in the corresponding categories.},
author = {Močkoř, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {$MV$-algebras; similarity relation; quasi-reflective subcategory; MV-algebras; similarity relation; quasi-reflective subcategory},
language = {eng},
number = {2},
pages = {631-645},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Extensional subobjects in categories of $\Omega $-fuzzy sets},
url = {http://eudml.org/doc/31151},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Močkoř, Jiří
TI - Extensional subobjects in categories of $\Omega $-fuzzy sets
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 2
SP - 631
EP - 645
AB - Two categories $\mathbb {Set}(\Omega )$ and $\mathbb {SetF}(\Omega )$ of fuzzy sets over an $MV$-algebra $\Omega $ are investigated. Full subcategories of these categories are introduced consisting of objects $(\mathop {{\mathrm {s}ub}}(A,\delta )$, $\sigma )$, where $\mathop {{\mathrm {s}ub}}(A,\delta )$ is a subset of all extensional subobjects of an object $(A,\delta )$. It is proved that all these subcategories are quasi-reflective subcategories in the corresponding categories.
LA - eng
KW - $MV$-algebras; similarity relation; quasi-reflective subcategory; MV-algebras; similarity relation; quasi-reflective subcategory
UR - http://eudml.org/doc/31151
ER -
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