Negations With Respect to Admissible Orders in the Interval-Valued Fuzzy Set Theory

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901VCS" target="_blank" >RIV/61988987:17610/18:A1901VCS - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1109/TFUZZ.2017.2686372" target="_blank" >http://dx.doi.org/10.1109/TFUZZ.2017.2686372</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/TFUZZ.2017.2686372" target="_blank" >10.1109/TFUZZ.2017.2686372</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Negations With Respect to Admissible Orders in the Interval-Valued Fuzzy Set Theory

Popis výsledku v původním jazyce

Admissible orders have brought the structure of chains in the framework of interval-valued fuzzy sets. However, a deeper study of functions monotone with respect to admissible orders is still missing in the literature. In this work, we consider the construction of negations and strong negations on intervals with respect to admissible orders, in particular, for the Xu and Yager and lexicographical orders, as well as for those based on K-alpha operators. We introduce and discuss an approach to the construction of strong negations on intervals with respect to K-alpha,(beta) orders based on an arbitrary couple of strong negations defined over the standard real interval [0, 1]. The introduced strong negations have a deep impact on all fields exploiting fuzzy methods dealing with intervals, allowing to introduce complements, dual aggregations, implications, entropies, etc.

Název v anglickém jazyce

Negations With Respect to Admissible Orders in the Interval-Valued Fuzzy Set Theory

Popis výsledku anglicky

Admissible orders have brought the structure of chains in the framework of interval-valued fuzzy sets. However, a deeper study of functions monotone with respect to admissible orders is still missing in the literature. In this work, we consider the construction of negations and strong negations on intervals with respect to admissible orders, in particular, for the Xu and Yager and lexicographical orders, as well as for those based on K-alpha operators. We introduce and discuss an approach to the construction of strong negations on intervals with respect to K-alpha,(beta) orders based on an arbitrary couple of strong negations defined over the standard real interval [0, 1]. The introduced strong negations have a deep impact on all fields exploiting fuzzy methods dealing with intervals, allowing to introduce complements, dual aggregations, implications, entropies, etc.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure 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

IEEE T FUZZY SYST

ISSN

1063-6706

e-ISSN

—

Svazek periodika

26

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

556-568

Kód UT WoS článku

000428613500013

EID výsledku v databázi Scopus

2-s2.0-85029417505