A note on approximate equality versus the Poincaré paradox

Ulrich Bodenhofer

doi:10.1016/S0165-0114(02)00240-3

A note on approximate equality versus the Poincaré paradox

Ulrich Bodenhofer^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

10 Zitate (Scopus)

Abstract

The purpose of this note is to comment on a paper by M. De Cock and E.E. Kerre that was recently accepted for publication in Fuzzy Sets and Systems. The paper, in contrast to the view of several other researchers, states that fuzzy equivalence relations are not always able to resolve the Poincaré paradox. This brief paper discusses this controversial contribution from the present author's subjective point of view.

Originalsprache	Englisch
Seiten (von - bis)	155-160
Seitenumfang	6
Fachzeitschrift	Fuzzy Sets and Systems
Jahrgang	133
Ausgabenummer	2
DOIs	https://doi.org/10.1016/S0165-0114(02)00240-3
Publikationsstatus	Veröffentlicht - 16 Jän. 2003
Extern publiziert	Ja

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10.1016/S0165-0114(02)00240-3

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title = "A note on approximate equality versus the Poincar{\'e} paradox",

abstract = "The purpose of this note is to comment on a paper by M. De Cock and E.E. Kerre that was recently accepted for publication in Fuzzy Sets and Systems. The paper, in contrast to the view of several other researchers, states that fuzzy equivalence relations are not always able to resolve the Poincar{\'e} paradox. This brief paper discusses this controversial contribution from the present author's subjective point of view.",

keywords = "Approximate equality, Fuzzy equivalence relation, Poincar{\'e} paradox, Resemblance relation",

author = "Ulrich Bodenhofer",

note = "Funding Information: U. Bodenhofer is working in the framework of the Kplus Competence Center Program which is funded by the Austrian Government, the Province of Upper Austria and the Chamber of Commerce of Upper Austria.",

year = "2003",

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N2 - The purpose of this note is to comment on a paper by M. De Cock and E.E. Kerre that was recently accepted for publication in Fuzzy Sets and Systems. The paper, in contrast to the view of several other researchers, states that fuzzy equivalence relations are not always able to resolve the Poincaré paradox. This brief paper discusses this controversial contribution from the present author's subjective point of view.

AB - The purpose of this note is to comment on a paper by M. De Cock and E.E. Kerre that was recently accepted for publication in Fuzzy Sets and Systems. The paper, in contrast to the view of several other researchers, states that fuzzy equivalence relations are not always able to resolve the Poincaré paradox. This brief paper discusses this controversial contribution from the present author's subjective point of view.

KW - Approximate equality

KW - Fuzzy equivalence relation

KW - Poincaré paradox

KW - Resemblance relation

UR - https://www.scopus.com/pages/publications/0037448305

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DO - 10.1016/S0165-0114(02)00240-3

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AN - SCOPUS:0037448305

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JO - Fuzzy Sets and Systems

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IS - 2

ER -

A note on approximate equality versus the Poincaré paradox

Abstract

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