Solvability of Fuzzy Relational Equations Employing Undefined Values
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001ZTW" target="_blank" >RIV/61988987:17610/19:A2001ZTW - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.2991/eusflat-19.2019.34" target="_blank" >http://dx.doi.org/10.2991/eusflat-19.2019.34</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/eusflat-19.2019.34" target="_blank" >10.2991/eusflat-19.2019.34</a>
Alternative languages
Result language
angličtina
Original language name
Solvability of Fuzzy Relational Equations Employing Undefined Values
Original language description
The paper aims at studying the solvability of fuzzy relational equations where the input fuzzy sets may have undefined values. The appropriate operations dealing undefined values are taken from the algebras built in partial fuzzy set theory, in particular, the Bochvar operations, the Soboci'{n}ski operations, the Kleene operations and the lower estimation operations are used for the investigation. We first elaborate new models using distinct operations handling undefined values and mirroring the shapes of the implicative model and Mamdani-Assilian model. Then the solvability criterions for such new systems of fuzzy relational equations are set up, and consequently, we show a way of checking whether the systems are solvable or not.
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
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
227-234
Publisher name
Atlantis Studies in Uncertainty Modelling
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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