A short note on fuzzy relational inference systems

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

A short note on fuzzy relational inference systems

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

A short note on fuzzy relational inference systems

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

FUZZY SET SYST

ISSN

0165-0114

e-ISSN

—

Svazek periodika

338

Číslo periodika v rámci svazku

1 May

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

7

Strana od-do

90-96

Kód UT WoS článku

000427471500005

EID výsledku v databázi Scopus

2-s2.0-85028299949