Extensions of fuzzy relational compositions based on generalized quantifiers

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901HBU" target="_blank" >RIV/61988987:17610/18:A1901HBU - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.fss.2017.04.009" target="_blank" >http://dx.doi.org/10.1016/j.fss.2017.04.009</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2017.04.009" target="_blank" >10.1016/j.fss.2017.04.009</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Extensions of fuzzy relational compositions based on generalized quantifiers

Popis výsledku v původním jazyce

The aim of this paper is to extend the fuzzy relational compositions motivated by their applications to medical diagnosis problem byWillis Bandler and Ladislav Kohout. These compositions employ two quantifiers, the universal quantifier and the existentialquantifier. As there exists a big gap between these two quantifiers, that may be appropriately filled in by intermediate generalized quantifiers, we take this as a motivation for our study. In particular, we introduce the concept of fuzzy relationalcompositions based on generalized quantifiers. Furthermore, we show that the properties that are typically valid for standard fuzzy relational compositions are also valid for the compositions based on generalized quantifiers, yet sometimes in a weaken form. Apart fromfuzzy relational compositions, the use of generalized quantifiers is also applied to images and preimages of fuzzy sets under fuzzyrelations.

Název v anglickém jazyce

Extensions of fuzzy relational compositions based on generalized quantifiers

Popis výsledku anglicky

The aim of this paper is to extend the fuzzy relational compositions motivated by their applications to medical diagnosis problem byWillis Bandler and Ladislav Kohout. These compositions employ two quantifiers, the universal quantifier and the existentialquantifier. As there exists a big gap between these two quantifiers, that may be appropriately filled in by intermediate generalized quantifiers, we take this as a motivation for our study. In particular, we introduce the concept of fuzzy relationalcompositions based on generalized quantifiers. Furthermore, we show that the properties that are typically valid for standard fuzzy relational compositions are also valid for the compositions based on generalized quantifiers, yet sometimes in a weaken form. Apart fromfuzzy relational compositions, the use of generalized quantifiers is also applied to images and preimages of fuzzy sets under fuzzyrelations.

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)<br>S - Specificky vyzkum na vysokych skolach

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

339

Číslo periodika v rámci svazku

15 May

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

26

Strana od-do

73-98

Kód UT WoS článku

000427500400006

EID výsledku v databázi Scopus

2-s2.0-85018944152