State operators on generalizations of fuzzy structures

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F12%3A33141248" target="_blank" >RIV/61989592:15310/12:33141248 - isvavai.cz</a>

Alternative codes found

RIV/61989100:27510/12:86083681

Result on the web

<a href="http://dx.doi.org/10.1016/j.fss.2011.05.023" target="_blank" >http://dx.doi.org/10.1016/j.fss.2011.05.023</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2011.05.023" target="_blank" >10.1016/j.fss.2011.05.023</a>

Result language

angličtina

Original language name

State operators on generalizations of fuzzy structures

Original language description

We enlarge the language of Rl-monoids, which are a non-commutative generalizations of both MV algebras and BL algebras, by adding a unary operation that describes algebraic properties of a state (= an analog of probability measures). The resulting algebras are called state Rl-monoids and state-morphism Rl-monoids. We present basic properties of such algebras. We describe subdirectly irreducible algebras, some generators of the varieties of state-morphism Rl-monoids, and an interplay between states and state operators.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2012

Confidentiality

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

Name of the periodical

Fuzzy Sets and Systems

ISSN

0165-0114

e-ISSN

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Volume of the periodical

187

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

19

Pages from-to

58-76

UT code for WoS article

000297872500003

EID of the result in the Scopus database

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