Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001ZSW" target="_blank" >RIV/61988987:17610/19:A2001ZSW - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/abs/pii/S0165011418304251" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0165011418304251</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2018.07.007" target="_blank" >10.1016/j.fss.2018.07.007</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity

Popis výsledku v původním jazyce

In this work, we propose a new notion of monotonicity: strengthened ordered directional monotonicity. This generalization of monotonicity is based on directional monotonicity and ordered directional monotonicity, two recent weaker forms of monotonicity. We discuss the relation between those different notions of monotonicity from a theoretical point of view. Additionally, along with the introduction of two families of functions and a study of their connection to the considered monotonicity notions, we define an operation between functions that generalizes the Choquet integral and the Lukasiewicz implication.

Název v anglickém jazyce

Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity

Popis výsledku anglicky

In this work, we propose a new notion of monotonicity: strengthened ordered directional monotonicity. This generalization of monotonicity is based on directional monotonicity and ordered directional monotonicity, two recent weaker forms of monotonicity. We discuss the relation between those different notions of monotonicity from a theoretical point of view. Additionally, along with the introduction of two families of functions and a study of their connection to the considered monotonicity notions, we define an operation between functions that generalizes the Choquet integral and the Lukasiewicz implication.

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

2019

Kód důvěrnosti údajů

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

Název periodika

Fuzzy Sets and Systems

ISSN

0165-0114

e-ISSN

1872-6801

Svazek periodika

357

Číslo periodika v rámci svazku

15.2.2019

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

22

Strana od-do

151-172

Kód UT WoS článku

000457560900008

EID výsledku v databázi Scopus

2-s2.0-85050662402