Počet záznamů: 1
The axiomatization of asymmetric disjunction and conjunction
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SYSNO ASEP 0531644 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název The axiomatization of asymmetric disjunction and conjunction Tvůrce(i) Hudec, M. (SK)
Mesiar, Radko (UTIA-B) RID, ORCIDCelkový počet autorů 2 Zdroj.dok. Information Fusion. - : Elsevier - ISSN 1566-2535
Roč. 53, č. 1 (2020), s. 165-173Poč.str. 9 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova And if possible operators ; Averaging functions ; Or else operators Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics Způsob publikování Open access Institucionální podpora UTIA-B - RVO:67985556 UT WOS 000488995000016 EID SCOPUS 85067814416 DOI 10.1016/j.inffus.2019.06.018 Anotace 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. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2021 Elektronická adresa https://www.sciencedirect.com/science/article/pii/S1566253518308510
Počet záznamů: 1