A short note on fuzzy relational inference systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901I04" target="_blank" >RIV/61988987:17610/18:A1901I04 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2017.08.006" target="_blank" >http://dx.doi.org/10.1016/j.fss.2017.08.006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2017.08.006" target="_blank" >10.1016/j.fss.2017.08.006</a>
Alternative languages
Result language
angličtina
Original language name
A short note on fuzzy relational inference systems
Original language description
This paper is a short note contribution to the topic of fuzzy relational inference systems and the preservation of their desirable properties addressing mainly the questions dealt with in detail in [Stepnicka_Jayaram]. Although the title of[Stepnicka_Jayaram] as well as the title of this article, which by purposes only slightly modifies the original title, explicitly mentions the Bandler-Kohout subproduct as the inference mechanism, the impact of both papers is significant also for the fuzzy relational inference systems using the well-known compositional rule of inference introduced by Zadeh. The original paper [Stepnicka_Jayaram] showed that inference systems based on BK-subproduct are equally good as those with CRI and that the advantages (preservation of desirable properties) never come from the choice of the inference mechanism itself, but from a proper combination with the fuzzy relational model of a given fuzzy rulebase.The goal of this short note article, that directly follows the investigations provided in the original article, is threefold. Firstly, we show that one of the results provided in the original article, namely the robustness related to the combination ofBK-subproduct and implicative fuzzy rule base model was not proven correctly as it used an incorrect lemma and that, however, the result itself is still valid as an alternative and valid proof is provided.Secondly, we present some of the results provided already by Moser and Navara in the perspective of the preservation of the desirable properties discussed in our previous paper. Finally, we provide readers with a brief yet important discussion on consequences of these results in the light of thetheoretical as well as practical aspects of building fuzzy inference systems.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
FUZZY SET SYST
ISSN
0165-0114
e-ISSN
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Volume of the periodical
338
Issue of the periodical within the volume
1 May
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
7
Pages from-to
90-96
UT code for WoS article
000427471500005
EID of the result in the Scopus database
2-s2.0-85028299949