BARTL, David. Two Applications of a Linearly Ordered Ring in Business Decision Making. In The 2nd International Conference on Decision Making for Small and Medium-Sized Enterprises. Karviná: Silesian University in Opava, School of Business Administration in Karviná, 2019, p. 10-16. ISBN 978-80-7510-339-0.
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Original name Two Applications of a Linearly Ordered Ring in Business Decision Making
Authors BARTL, David (203 Czech Republic, guarantor, belonging to the institution).
Edition Karviná, The 2nd International Conference on Decision Making for Small and Medium-Sized Enterprises, p. 10-16, 7 pp. 2019.
Publisher Silesian University in Opava, School of Business Administration in Karviná
Other information
Original language English
Type of outcome Proceedings paper
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
Publication form printed version "print"
WWW URL URL
RIV identification code RIV/47813059:19520/19:A0000072
Organization Obchodně podnikatelská fakulta v Karviné – Slezská univerzita v Opavě – Repository
ISBN 978-80-7510-339-0
UT WoS 000519107000002
Keywords in English decision making under risk; failure mode and effects analysis; linear programming; linearly ordered rings; optimal allocation
Changed by Changed by: Bc. Ivana Glabazňová, učo 2368. Changed: 3/12/2023 03:37.
Abstract
We propose two applications of a special linearly ordered commutative ring with zero divisors in business decision making. First, we consider an enterprise facing several future scenarios (events) with the likelihood (expectation or probability) and the worst impact score of each event being given. We propose that the likelihoods and scores attain values in the special linearly ordered ring. The undesired impact of an event can be mitigated if the enterprise makes an investment into preventive measures. The goal is to find an optimal allocation of a limited budget so as to minimize the overall expected impact score. Second, we briefly note that it also makes sense to use the special linearly ordered ring with zero divisors in the FMEA (Failure Mode and Effects Analysis) method, and, in line with the first application, we propose an extension the method. We illustrate the applications by simple examples.
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