Fuzzy Generalised Quantifiers for Natural Language in Categorical Compositional Distributional Semantics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00355212" target="_blank" >RIV/68407700:21230/21:00355212 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-3-030-53654-1_6" target="_blank" >http://dx.doi.org/10.1007/978-3-030-53654-1_6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-030-53654-1_6" target="_blank" >10.1007/978-3-030-53654-1_6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fuzzy Generalised Quantifiers for Natural Language in Categorical Compositional Distributional Semantics

Popis výsledku v původním jazyce

Recent work on compositional distributional models shows that bialgebras over finite dimensional vector spaces can be applied to treat generalised quantifiers for natural language. That technique requires one to construct the vector space over powersets, and therefore is computationally costly. In this paper, we overcome this problem by considering fuzzy versions of quantifiers along the lines of Zadeh, within the category of many valued relations. We show that this category is a concrete instantiation of the compositional distributional model. We show that the semantics obtained in this model is equivalent to the semantics of the fuzzy quantifiers of Zadeh. As a result, we are now able to treat fuzzy quantification without requiring a powerset construction.

Název v anglickém jazyce

Fuzzy Generalised Quantifiers for Natural Language in Categorical Compositional Distributional Semantics

Popis výsledku anglicky

Recent work on compositional distributional models shows that bialgebras over finite dimensional vector spaces can be applied to treat generalised quantifiers for natural language. That technique requires one to construct the vector space over powersets, and therefore is computationally costly. In this paper, we overcome this problem by considering fuzzy versions of quantifiers along the lines of Zadeh, within the category of many valued relations. We show that this category is a concrete instantiation of the compositional distributional model. We show that the semantics obtained in this model is equivalent to the semantics of the fuzzy quantifiers of Zadeh. As a result, we are now able to treat fuzzy quantification without requiring a powerset construction.

Druh

C - Kapitola v odborné knize

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Mathematics, Logic, and their Philosophies

ISBN

978-3-030-53653-4

Počet stran výsledku

26

Strana od-do

135-160

Počet stran knihy

483

Název nakladatele

Springer Nature Switzerland AG

Místo vydání

Basel

Kód UT WoS kapitoly

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