Tense operators in fuzzy logic

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155729" target="_blank" >RIV/61989592:15310/15:33155729 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/15:00085223
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0165011414004035" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011414004035</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2014.09.007" target="_blank" >10.1016/j.fss.2014.09.007</a>

Result language
angličtina
Original language name
Tense operators in fuzzy logic
Original language description
The aim of the paper is to introduce and describe tense operators in every fuzzy logic which is axiomatized by means of a residuated poset. For this we use the axiomatization of universal quantifiers as a starting point and we modify these axioms for oursake. At first, we show that the operators can be recognized as modal operators and we study the pairs as the so-called dynamic pairs. Further, we get constructions of these operators in the corresponding residuated poset provided a time frame is given.Moreover, we solve the problem of finding a time frame in the case when the tense operators are given. In particular, any tense algebra is representable in its Dedekind-MacNeille completion. (C) 2014 Elsevier B.V. All rights reserved.
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
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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