Fuzzy Type Theory with Partial Functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001O9V" target="_blank" >RIV/61988987:17610/19:A2001O9V - isvavai.cz</a>
Result on the web
<a href="http://ijfs.usb.ac.ir/article_4538.html" target="_blank" >http://ijfs.usb.ac.ir/article_4538.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.22111/IJFS.2019.4538" target="_blank" >10.22111/IJFS.2019.4538</a>

Result language
angličtina
Original language name
Fuzzy Type Theory with Partial Functions
Original language description
This paper is a study of fuzzy type theory (FTT) with partial functions. Out of several possibilities we decided to introduce a special value * that represents 'undefined'. In the interpretation of FTT, this value lays outside of the corresponding domain. In the syntax, however, it can be naturally represented by the description operator acting on the empty (fuzzy) set and so, choosing an element from its kernel gives no result (it is undefined operation). Among many results, we will show that if, in a theory T, '*' is defined or provable then T is contradictory. We will also show that any consistent theory of FTT with partial functions has a model.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA16-19170S" target="_blank" >GA16-19170S: Fuzzy Partial Logic</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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