Partial Fuzzy Quantifiers and their Computation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA23027I9" target="_blank" >RIV/61988987:17610/22:A23027I9 - isvavai.cz</a>
Result on the web
<a href="https://www.eurekaselect.com/189940/article" target="_blank" >https://www.eurekaselect.com/189940/article</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2174/2666294901666210105141618" target="_blank" >10.2174/2666294901666210105141618</a>
Alternative languages
Result language
angličtina
Original language name
Partial Fuzzy Quantifiers and their Computation
Original language description
Background: In computer science, one often meets the requirement to deal with partial functions. They naturally raise, for example, when a mistake such as the square root of a negative number or division by zero occurs, or when we want to express the semantics of the expression “Czech president in 18th century” because there was no such president before 1918. Method: In this paper, we will extend the theory of intermediate quantifiers (i.e., expressions such as “most, almost all, many, a few”, etc.) to deal with partially defined fuzzy sets. First, we extend algebraic operations that are used in fuzzy logic by additional value “undefined”. Then we will introduce intermediate quantifiers using the former. The theory of intermediate quantifiers has been usually developed as a special theory of higher-order fuzzy logic. Results: In this paper, we introduce the quantifiers semantically and show how they can be computed. The latter is also demonstrated in three illustrative examples. Conclusion: The paper contributes to the development of fuzzy quantifier theory by its extension by undefined values and suggests methods for computation of their truth values.
Czech name
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Czech description
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Classification
Type
J<sub>ost</sub> - Miscellaneous article in a specialist periodical
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Fuzzy Logic and Modeling in Engineering
ISSN
2666-2949
e-ISSN
2666-2957
Volume of the periodical
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Issue of the periodical within the volume
1
Country of publishing house
AE - UNITED ARAB EMIRATES
Number of pages
10
Pages from-to
1-10
UT code for WoS article
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EID of the result in the Scopus database
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