Pointwise directional increasingness and geometric interpretation of directionally monotone functions

Kód výsledku v IS VaVaI

RIV/61988987:17610/19:A20020W4 - isvavai.cz

Výsledek na webu

https://www.sciencedirect.com/science/article/pii/S0020025519305298

DOI - Digital Object Identifier

10.1016/j.ins.2019.06.002

Jazyk výsledku

angličtina

Název v původním jazyce

Pointwise directional increasingness and geometric interpretation of directionally monotone functions

Popis výsledku v původním jazyce

The relaxation of monotonicity requirements is a trend in the theory of aggregation functions. In the recent literature, we can find several relaxed forms of monotonicity, such as weak, directional, cone, ordered directional and strengthened directional monotonicity. All these forms of monotonicity are global properties in the sense that they are imposed for all the points in the domain of a function. In this work, we introduce a local notion of monotonicity called pointwise directional monotonicity, or directional monotonicity at a point. Based on this concept, we characterize all the previously defined notions of monotonicity and, in the final part of the paper, we present some geometric aspects of the global weaker forms of monotonicity, stressing their relations and singularities.

Název v anglickém jazyce

Pointwise directional increasingness and geometric interpretation of directionally monotone functions

Popis výsledku anglicky

The relaxation of monotonicity requirements is a trend in the theory of aggregation functions. In the recent literature, we can find several relaxed forms of monotonicity, such as weak, directional, cone, ordered directional and strengthened directional monotonicity. All these forms of monotonicity are global properties in the sense that they are imposed for all the points in the domain of a function. In this work, we introduce a local notion of monotonicity called pointwise directional monotonicity, or directional monotonicity at a point. Based on this concept, we characterize all the previously defined notions of monotonicity and, in the final part of the paper, we present some geometric aspects of the global weaker forms of monotonicity, stressing their relations and singularities.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

LQ1602: IT4Innovations excellence in science

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

INFORM SCIENCES

ISSN

0020-0255

e-ISSN

1872-6291

Svazek periodika

501

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

12

Strana od-do

236-247

Kód UT WoS článku

000480663900015

EID výsledku v databázi Scopus

2-s2.0-85067045005