Defuzzification Using Steiner Points

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F05%3A00114026" target="_blank" >RIV/68407700:21230/05:00114026 - isvavai.cz</a>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Defuzzification Using Steiner Points

Popis výsledku v původním jazyce

A defuzzification function assigns to each fuzzy set a crisp value in a way that this value may intuitively be understood as the ``centre'' of the fuzzy set. In the present paper, this vague concept is put into a mathematically rigorous form. To this end, we proceed analogously to the case of sharply bordered subsets, for which the Steiner point is frequently used. The function assigning to each convex subset its Steiner point is characterized by three properties; here, we study functions whose domainsconsist of fuzzy sets and which fulfil analogous properties. Although uniqueness can no longer be achieved, we give a complete characterization of what we call Steiner points of fuzzy sets.

Název v anglickém jazyce

Defuzzification Using Steiner Points

Popis výsledku anglicky

A defuzzification function assigns to each fuzzy set a crisp value in a way that this value may intuitively be understood as the ``centre'' of the fuzzy set. In the present paper, this vague concept is put into a mathematically rigorous form. To this end, we proceed analogously to the case of sharply bordered subsets, for which the Steiner point is frequently used. The function assigning to each convex subset its Steiner point is characterized by three properties; here, we study functions whose domainsconsist of fuzzy sets and which fulfil analogous properties. Although uniqueness can no longer be achieved, we give a complete characterization of what we call Steiner points of fuzzy sets.

Druh

O - Ostatní výsledky

CEP obor

JD - Využití počítačů, robotika a její aplikace

OECD FORD obor

—

Projekt

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2005

Kód důvěrnosti údajů

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