Galois connections and tense operators on q-effect algebras

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33161576" target="_blank" >RIV/61989592:15310/16:33161576 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216224:14310/16:00088576

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0165011415002390" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011415002390</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2015.05.010" target="_blank" >10.1016/j.fss.2015.05.010</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Galois connections and tense operators on q-effect algebras

Popis výsledku v původním jazyce

For effect algebras, the so-called tense operators were already introduced by Chajda and Paseka. They presented also a canonical construction of them using the notion of a time frame. Tense operators express the quantifiers "it is always going to be the case that" and "it has always been the case that" and hence enable us to express the dimension of time both in the logic of quantum mechanics and in the many-valued logic. A crucial problem concerning tense operators is their representation. Having an effect algebra with tense operators, we can ask if there exists a time frame such that each of these operators can be obtained by the canonical construction. To approximate physical real systems as best as possible, we introduce the notion of a q-effect algebra and we solve this problem for q-tense operators on q-representable q-Jauch-Piron q-effect algebras. (c) 2015 Elsevier B.V. All rights reserved.

Název v anglickém jazyce

Galois connections and tense operators on q-effect algebras

Popis výsledku anglicky

For effect algebras, the so-called tense operators were already introduced by Chajda and Paseka. They presented also a canonical construction of them using the notion of a time frame. Tense operators express the quantifiers "it is always going to be the case that" and "it has always been the case that" and hence enable us to express the dimension of time both in the logic of quantum mechanics and in the many-valued logic. A crucial problem concerning tense operators is their representation. Having an effect algebra with tense operators, we can ask if there exists a time frame such that each of these operators can be obtained by the canonical construction. To approximate physical real systems as best as possible, we introduce the notion of a q-effect algebra and we solve this problem for q-tense operators on q-representable q-Jauch-Piron q-effect algebras. (c) 2015 Elsevier B.V. All rights reserved.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Fuzzy Sets and Systems

ISSN

0165-0114

e-ISSN

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Svazek periodika

298

Číslo periodika v rámci svazku

SEP

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

13

Strana od-do

56-68

Kód UT WoS článku

000376779800005

EID výsledku v databázi Scopus

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