Missing Values and Indeterminable Values in Fuzzy Relational Compositions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001ZTY" target="_blank" >RIV/61988987:17610/19:A2001ZTY - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.2991/eusflat-19.2019.45" target="_blank" >http://dx.doi.org/10.2991/eusflat-19.2019.45</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/eusflat-19.2019.45" target="_blank" >10.2991/eusflat-19.2019.45</a>
Alternative languages
Result language
angličtina
Original language name
Missing Values and Indeterminable Values in Fuzzy Relational Compositions
Original language description
Four-valued logics were developed from three-valued logics aiming at creating tools dealing with missing values and indeterminable values at the same time in computer science. In this paper, we are motivated by the formation of such four-valued logics and construct a new set of operations able to work with both types of such undefined values in partial fuzzy set theory. The operations are built based on the well-known Bochvar algebra and the Sobocinski algebra modeling indeterminable values, and the recent Dragonfly algebra purely designed for modeling missing values. Moreover, the operations are established to be compatible with the operations used for elaborating compositions of partial fuzzy relations. Various valid properties of the new operations are then presented, and consequently, the properties of the compositions of partial fuzzy relations constructed based on such operations are implied as well. In the end, an illustrative example is provided to observe the use of the proposed compositions.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
ISBN
978-94-6252-770-6
ISSN
2589-6644
e-ISSN
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Number of pages
8
Pages from-to
313-320
Publisher name
Atlantis Press
Place of publication
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Event location
Prague
Event date
Sep 9, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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