Abstract | ||
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In this work we propose a generalization of the notion of directional monotonicity. Instead of considering increasingness or decreasingness along rays, we allow more general paths defined by curves in the n-dimensional space. These considerations lead us to the notion of -monotonicity, where is the corresponding curve. We study several theoretical properties of -monotonicity and relate it to other notions of monotonicity, such as weak monotonicity and directional monotonicity. |
Year | DOI | Venue |
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2019 | 10.1080/03081079.2019.1586684 | INTERNATIONAL JOURNAL OF GENERAL SYSTEMS |
Keywords | Field | DocType |
Fusion function, weak monotonicity, directional monotonicity, curve-based monotonicity | Discrete mathematics,Monotonic function,Pure mathematics,Mathematics | Journal |
Volume | Issue | ISSN |
48 | 5 | 0308-1079 |
Citations | PageRank | References |
0 | 0.34 | 12 |
Authors | ||
7 |
Name | Order | Citations | PageRank |
---|---|---|---|
Antonio-Francisco Roldán-López-de-Hierro | 1 | 30 | 4.84 |
Mikel Sesma-Sara | 2 | 53 | 9.07 |
Jana Špirková | 3 | 86 | 10.84 |
Julio Lafuente | 4 | 21 | 3.88 |
Ana Pradera | 5 | 159 | 16.09 |
Radko Mesiar | 6 | 3778 | 472.41 |
Humberto Bustince | 7 | 1938 | 134.10 |