Arithmetics of Extensional Fuzzy Numbers -- Part I: Introduction

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F12%3AA13014MH" target="_blank" >RIV/61988987:17610/12:A13014MH - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Arithmetics of Extensional Fuzzy Numbers -- Part I: Introduction

Original language description

Up to our best knowledge, distinct so far existing arithmetics of fuzzy numbers, usually stemming from the Zadeh's extensional principle, do not preserve some of the important properties of the standard arithmetics of classical (real) numbers. Obviously,although we cannot expect that a generalization of standard arithmetic will preserve precisely all its properties however, at least the most important ones should be preserved. We present a novel framework of arithmetics of extensional fuzzy numbers that preserves more or less all the important (algebraic) properties of the arithmetic of real numbers and thus, seems to be an important seed for further investigations on this topic. The suggested approach arithmetics of extensional fuzzy numbers is demonstrated on many examples and besides the algebraic properties, it is also shown that it carries some desirable practical properties.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

O - Projekt operacniho programu

Publication year

2012

Confidentiality

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

Article name in the collection

Proc. of FUZZ-IEEE 2012

ISBN

978-1-4673-1506-7

ISSN

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e-ISSN

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Number of pages

8

Pages from-to

1517-1524

Publisher name

IEEE

Place of publication

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Event location

Brisbane

Event date

Jan 1, 2012

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

000309188200211