Galois connections and tense operators on q-effect algebras

J 2016

Galois connections and tense operators on q-effect algebras

CHAJDA, Ivan a Jan PASEKA

Základní údaje

Originální název

Galois connections and tense operators on q-effect algebras

Autoři

CHAJDA, Ivan a Jan PASEKA

Vydání

Fuzzy Sets and Systems, AMSTERDAM, ELSEVIER SCIENCE BV, 2016, 0165-0114

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Impakt faktor

Impact factor: 2.718

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/16:00088576

Organizační jednotka

Přírodovědecká fakulta

DOI

https://doi.org/10.1016/j.fss.2015.05.010

UT WoS

000376779800005

EID Scopus

2-s2.0-84930351953

Klíčová slova anglicky

Effect algebra; q-Effect algebra; Galois q-connection; q-Tense operators; q-Jauch-Piron q-effect algebra; q-Representable q-effect algebra

Štítky

AKR, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 6. 4. 2017 16:43, Ing. Andrea Mikešková

Anotace

V originále

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.

Návaznosti

EE2.3.20.0051, projekt VaV

Název: Algebraické metody v kvantové logice

GA15-15286S, projekt VaV

Název: Algebraické, vícehodnotové a kvantové struktury pro modelování neurčitosti

Investor: Grantová agentura ČR, Algebraické, vícehodnotové a kvantové struktury pro modelování neurčitosti

Přiložené soubory

Galois_connections_and_tense_operators_on_q-effect_algebras.pdf

Požádat o autorskou verzi souboru

Citovat

CHAJDA, Ivan a Jan PASEKA. Galois connections and tense operators on q-effect algebras. Fuzzy Sets and Systems. AMSTERDAM: ELSEVIER SCIENCE BV, 2016, roč. 298, September, s. 56-68. ISSN 0165-0114. Dostupné z: https://doi.org/10.1016/j.fss.2015.05.010.

@article{1368608,
   author = {Chajda, Ivan and Paseka, Jan},
   article_location = {AMSTERDAM},
   article_number = {September},
   doi = {https://doi.org/10.1016/j.fss.2015.05.010},
   keywords = {Effect algebra; q-Effect algebra; Galois q-connection; q-Tense operators; q-Jauch-Piron q-effect algebra; q-Representable q-effect algebra},
   language = {eng},
   issn = {0165-0114},
   journal = {Fuzzy Sets and Systems},
   title = {Galois connections and tense operators on q-effect algebras},
   volume = {298},
   year = {2016}
}

TY  - JOUR
ID  - 1368608
AU  - Chajda, Ivan - Paseka, Jan
PY  - 2016
TI  - Galois connections and tense operators on q-effect algebras
JF  - Fuzzy Sets and Systems
VL  - 298
IS  - September
SP  - 56-68
EP  - 56-68
PB  - ELSEVIER SCIENCE BV
SN  - 01650114
KW  - Effect algebra
KW  - q-Effect algebra
KW  - Galois q-connection
KW  - q-Tense operators
KW  - q-Jauch-Piron q-effect algebra
KW  - q-Representable q-effect algebra
N2  - 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.
ER  -

CHAJDA, Ivan a Jan PASEKA. Galois connections and tense operators on q-effect algebras. \textit{Fuzzy Sets and Systems}. AMSTERDAM: ELSEVIER SCIENCE BV, 2016, roč.~298, September, s.~56-68. ISSN~0165-0114. Dostupné z: https://doi.org/10.1016/j.fss.2015.05.010.

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