Bivalent and Other Solutions of Fuzzy Relational Equations via Linguistic Hedges

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F12%3A10225056" target="_blank" >RIV/61989592:15310/12:10225056 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2011.05.020" target="_blank" >http://dx.doi.org/10.1016/j.fss.2011.05.020</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2011.05.020" target="_blank" >10.1016/j.fss.2011.05.020</a>

Result language
angličtina
Original language name
Bivalent and Other Solutions of Fuzzy Relational Equations via Linguistic Hedges
Original language description
We show that the well-known results regarding solutions of fuzzy relational equations and their systems can easily be generalized to obtain criteria regarding constrained solutions such as solutions which are crisp relations. When the constraint is empty, constrained solutions are ordinary solutions. The generalization is obtained by employing intensifying and relaxing linguistic hedges, conceived in this paper as certain unary functions on the scale of truth degrees. One aim of the paper is to highlight the problem of constrained solutions and to demonstrate that this problem naturally appears when identifying unknown relations. The other is to emphasize the role of linguistic hedges as constraints.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
—

Project
<a href="/en/project/GAP202%2F10%2F0262" target="_blank" >GAP202/10/0262: Decompositions of matrices with binary and ordinal data: theory, algorithms, and complexity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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