Ordering of fuzzy quantities with respect to a fuzzy benchmark – how the shape of the fuzzy benchmark and the choice of distance / similarity affect the ordering

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15210%2F18%3A73589235" target="_blank" >RIV/61989592:15210/18:73589235 - isvavai.cz</a>
Result on the web
<a href="https://mme2018.fm.vse.cz/wp-content/uploads/2018/09/MME2018-Electronic_proceedings.pdf" target="_blank" >https://mme2018.fm.vse.cz/wp-content/uploads/2018/09/MME2018-Electronic_proceedings.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Ordering of fuzzy quantities with respect to a fuzzy benchmark – how the shape of the fuzzy benchmark and the choice of distance / similarity affect the ordering
Original language description
To order several outputs of a model represented by fuzzy numbers, we can define a reference outcome of the model called benchmark (e.g. a fuzzy singleton when ideals are used as benchmarks). Then the distance (or similarity) between this reference outcome and each of the fuzzy outputs is used for the ordering of the outputs of a model. In many cases, however, the benchmark is represented by a fuzzy number i.e. when an expert estimate of the benchmark is given, or when predictions of future values are considered. This paper investigates the consequences of using fuzzy benchmarks for the ordering of fuzzy numbers. The paper studies if and how the use of a fuzzy benchmark with different cardinality may affect the final ordering of fuzzy numbers with respect to a chosen distance/similarity of fuzzy numbers. Different sets of fuzzy numbers representing different outputs of models (e.g. fuzzy net present values) are ordered by several distances/similarities of fuzzy numbers while the definition of the fuzzy benchmark changes cardinality-wise. Based on the analysis of the results and their graphical summaries we identify distances/similarities suitable for use with fuzzy benchmarks.
Czech name
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Czech description
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Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
36th International Conference Mathematical Methods in Economics 2018, September 12th - 14th, 2018, Jindřichův Hradec, Czech Republic, Conference Proceedings
ISBN
978-80-7378-372-3
ISSN
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e-ISSN
neuvedeno
Number of pages
6
Pages from-to
573-578
Publisher name
MatfyzPress
Place of publication
Prague
Event location
Jindřichův Hradec
Event date
Sep 12, 2018
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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