Tropical linear algebra with the Lukasiewicz T-norm

Result code in IS VaVaI

RIV/62690094:18450/15:50001803 - isvavai.cz

Result on the web

http://ac.els-cdn.com/S0165011414005119/1-s2.0-S0165011414005119-main.pdf?_tid=bb154616-944d-11e5-86cd-00000aab0f02&acdnat=1448549907_d2008384a18f56e0f361ed7bf3d88107

DOI - Digital Object Identifier

10.1016/j.fss.2014.11.008

Result language

angličtina

Original language name

Tropical linear algebra with the Lukasiewicz T-norm

Original language description

The max- Lukasiewicz semiring is defi ned as the unit interval [0; 1] equipped with the arithmetics "a+b" = max(a; b) and "ab" = max(0; a+b-1). Linear algebra over this semiring can be developed in the usual way. We describe a conversion of the problemsof the max- Lukasiewicz linear algebra into the problems of tropical (max-plus) linear algebra. Based on this conversion, we develop a theory of the matrix powers and the eigenproblem over the max- Lukasiewicz semiring.

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

GA14-02424S: Methods of operations research for decision support under uncertainty

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

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

276

Issue of the periodical within the volume

říjen

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

18

Pages from-to

131-148

UT code for WoS article

000356142500008

EID of the result in the Scopus database

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