Missing Values and Indeterminable Values in Fuzzy Relational Compositions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001ZTY" target="_blank" >RIV/61988987:17610/19:A2001ZTY - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.2991/eusflat-19.2019.45" target="_blank" >http://dx.doi.org/10.2991/eusflat-19.2019.45</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2991/eusflat-19.2019.45" target="_blank" >10.2991/eusflat-19.2019.45</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Missing Values and Indeterminable Values in Fuzzy Relational Compositions

Popis výsledku v původním jazyce

Four-valued logics were developed from three-valued logics aiming at creating tools dealing with missing values and indeterminable values at the same time in computer science. In this paper, we are motivated by the formation of such four-valued logics and construct a new set of operations able to work with both types of such undefined values in partial fuzzy set theory. The operations are built based on the well-known Bochvar algebra and the Sobocinski algebra modeling indeterminable values, and the recent Dragonfly algebra purely designed for modeling missing values. Moreover, the operations are established to be compatible with the operations used for elaborating compositions of partial fuzzy relations. Various valid properties of the new operations are then presented, and consequently, the properties of the compositions of partial fuzzy relations constructed based on such operations are implied as well. In the end, an illustrative example is provided to observe the use of the proposed compositions.

Název v anglickém jazyce

Missing Values and Indeterminable Values in Fuzzy Relational Compositions

Popis výsledku anglicky

Four-valued logics were developed from three-valued logics aiming at creating tools dealing with missing values and indeterminable values at the same time in computer science. In this paper, we are motivated by the formation of such four-valued logics and construct a new set of operations able to work with both types of such undefined values in partial fuzzy set theory. The operations are built based on the well-known Bochvar algebra and the Sobocinski algebra modeling indeterminable values, and the recent Dragonfly algebra purely designed for modeling missing values. Moreover, the operations are established to be compatible with the operations used for elaborating compositions of partial fuzzy relations. Various valid properties of the new operations are then presented, and consequently, the properties of the compositions of partial fuzzy relations constructed based on such operations are implied as well. In the end, an illustrative example is provided to observe the use of the proposed compositions.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název statě ve sborníku

2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)

ISBN

978-94-6252-770-6

ISSN

2589-6644

e-ISSN

—

Počet stran výsledku

8

Strana od-do

313-320

Název nakladatele

Atlantis Press

Místo vydání

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Místo konání akce

Prague

Datum konání akce

9. 9. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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