The Concept of Unavoidable Features in Fuzzy Relational Compositions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA21021RR" target="_blank" >RIV/61988987:17610/20:A21021RR - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/abs/pii/S0950705120301805" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0950705120301805</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.knosys.2020.105785" target="_blank" >10.1016/j.knosys.2020.105785</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The Concept of Unavoidable Features in Fuzzy Relational Compositions

Popis výsledku v původním jazyce

Fuzzy relational calculus, and especially, the compositions of fuzzy relations, had a great impact on many theoretical as well as practical areas of fuzzy modeling and it attracted numerous researchers. Recently, the compositions had been extended in distinct directions including the incorporation of excluding features or the direct use of generalized quantifiers instead of the standard ones. This article provides an investigation of an extension that is mathematically similarly constructed to the concept of excluding features although from the semantic point of view it is opposite. In particular, we introduce the concept of unavoidable features. Formally, the concept is again constructed as conjunctive fusion of an existing fuzzy relational composition with another composition, namely the Bandler-Kohout superproduct, employing a newly defined fuzzy relation of unavoidable features for particular classes. We provide an investigation of mathematical properties of the new concept and we demonstrate the appropriateness of the proposed concept on the classification task. This is provided with help of a real biological classification problems running on a data-sets of dragonflies and amphibians. A significant improvement of the results is emphasizing how strong influence may be provided with simple ideas and concepts fused appropriately together to a more complicated yet still explainable concept.

Název v anglickém jazyce

The Concept of Unavoidable Features in Fuzzy Relational Compositions

Popis výsledku anglicky

Fuzzy relational calculus, and especially, the compositions of fuzzy relations, had a great impact on many theoretical as well as practical areas of fuzzy modeling and it attracted numerous researchers. Recently, the compositions had been extended in distinct directions including the incorporation of excluding features or the direct use of generalized quantifiers instead of the standard ones. This article provides an investigation of an extension that is mathematically similarly constructed to the concept of excluding features although from the semantic point of view it is opposite. In particular, we introduce the concept of unavoidable features. Formally, the concept is again constructed as conjunctive fusion of an existing fuzzy relational composition with another composition, namely the Bandler-Kohout superproduct, employing a newly defined fuzzy relation of unavoidable features for particular classes. We provide an investigation of mathematical properties of the new concept and we demonstrate the appropriateness of the proposed concept on the classification task. This is provided with help of a real biological classification problems running on a data-sets of dragonflies and amphibians. A significant improvement of the results is emphasizing how strong influence may be provided with simple ideas and concepts fused appropriately together to a more complicated yet still explainable concept.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA20-07851S" target="_blank" >GA20-07851S: Fuzzy relační struktury v přibližném usuzování</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

KNOWL-BASED SYST

ISSN

0950-7051

e-ISSN

1872-7409

Svazek periodika

196

Číslo periodika v rámci svazku

21 May 2020

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

13

Strana od-do

1-13

Kód UT WoS článku

000527301700020

EID výsledku v databázi Scopus

2-s2.0-85082770486