The Metric Space of Ordered Weighted Average Operators with Distance Based on Accumulated Entries

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73580959" target="_blank" >RIV/61989592:15310/17:73580959 - isvavai.cz</a>

Výsledek na webu

<a href="http://onlinelibrary.wiley.com/doi/10.1002/int.21869/epdf" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/int.21869/epdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/int.21869" target="_blank" >10.1002/int.21869</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The Metric Space of Ordered Weighted Average Operators with Distance Based on Accumulated Entries

Popis výsledku v původním jazyce

Ordered weighted average (OWA) operators with their weighting vectors are very important in many applications. We show that directly taking Minkowski distances (including Manhattan distance and Euclidean distance) as the distances for any two OWA operator is not reasonable. In this study, we propose the standard distance measures for any two OWA operators and then propose a standard metric space for the set of all n-dimension OWA operators. We analyze and discuss some properties of the introduced OWA metric and further propose a metric space of Choquet integrals represented by the underlying fuzzy measures. Some applications in decision making of OWA distances are also presented in this study.

Název v anglickém jazyce

The Metric Space of Ordered Weighted Average Operators with Distance Based on Accumulated Entries

Popis výsledku anglicky

Ordered weighted average (OWA) operators with their weighting vectors are very important in many applications. We show that directly taking Minkowski distances (including Manhattan distance and Euclidean distance) as the distances for any two OWA operator is not reasonable. In this study, we propose the standard distance measures for any two OWA operators and then propose a standard metric space for the set of all n-dimension OWA operators. We analyze and discuss some properties of the introduced OWA metric and further propose a metric space of Choquet integrals represented by the underlying fuzzy measures. Some applications in decision making of OWA distances are also presented in this study.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

International Journal of Intelligent Systems

ISSN

0884-8173

e-ISSN

—

Svazek periodika

32

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

21

Strana od-do

665-675

Kód UT WoS článku

000400583500001

EID výsledku v databázi Scopus

2-s2.0-85007344775