The axiomatization of asymmetric disjunction and conjunction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F20%3A00531644" target="_blank" >RIV/67985556:_____/20:00531644 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S1566253518308510" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1566253518308510</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.inffus.2019.06.018" target="_blank" >10.1016/j.inffus.2019.06.018</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The axiomatization of asymmetric disjunction and conjunction

Popis výsledku v původním jazyce

In many real-world cases, disjunction is expressed as the fusion of full alternatives and less relevant ones, which leads to an OR ELSE connective. Obviously, this connective, so-called intensified disjunction, should provide a solution lower than or equal to the MAX operator, and higher than or equal to the projection of the full alternative. Further, to cover the cases when higher satisfaction degrees to the less relevant alternative cause that it becomes the full alternative, non–continuous asymmetric disjunction is required. The dual observation holds for the fusion of constraints (hard conditions) and wishes (soft conditions) expressed by an AND IF POSSIBLE connective. In order to cover these requirements, the paper focuses on developing a full axiomatization of asymmetric disjunction and asymmetric conjunction by averaging functions. Next, the necessity and sufficiency for associative behaviour have been proven. Moreover, the non-dual cases are also documented. Finally, the obtained results are illustrated on examples, and their applicability is also discussed.

Název v anglickém jazyce

The axiomatization of asymmetric disjunction and conjunction

Popis výsledku anglicky

In many real-world cases, disjunction is expressed as the fusion of full alternatives and less relevant ones, which leads to an OR ELSE connective. Obviously, this connective, so-called intensified disjunction, should provide a solution lower than or equal to the MAX operator, and higher than or equal to the projection of the full alternative. Further, to cover the cases when higher satisfaction degrees to the less relevant alternative cause that it becomes the full alternative, non–continuous asymmetric disjunction is required. The dual observation holds for the fusion of constraints (hard conditions) and wishes (soft conditions) expressed by an AND IF POSSIBLE connective. In order to cover these requirements, the paper focuses on developing a full axiomatization of asymmetric disjunction and asymmetric conjunction by averaging functions. Next, the necessity and sufficiency for associative behaviour have been proven. Moreover, the non-dual cases are also documented. Finally, the obtained results are illustrated on examples, and their applicability is also discussed.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Information Fusion

ISSN

1566-2535

e-ISSN

—

Svazek periodika

53

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

9

Strana od-do

165-173

Kód UT WoS článku

000488995000016

EID výsledku v databázi Scopus

2-s2.0-85067814416