Strengthened Ordered Directional and Other Generalizations of Monotonicity for Aggregation Functions View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2018-05-18

AUTHORS

Mikel Sesma-Sara , Laura De Miguel , Julio Lafuente , Edurne Barrenechea , Radko Mesiar , Humberto Bustince

ABSTRACT

A tendency in the theory of aggregation functions is the generalization of the monotonicity condition. In this work, we examine the latest developments in terms of different generalizations. In particular, we discuss strengthened ordered directional monotonicity, its relation to other types of monotonicity, such as directional and ordered directional monotonicity and the main properties of the class of functions that are strengthened ordered directionally monotone. We also study some construction methods for such functions and provide a characterization of usual monotonicity in terms of these notions of monotonicity. More... »

PAGES

416-426

References to SciGraph publications

  • 2018. Edge Detection Based on Ordered Directionally Monotone Functions in ADVANCES IN FUZZY LOGIC AND TECHNOLOGY 2017
  • 2003. Handbook of Means and Their Inequalities in NONE
  • Book

    TITLE

    Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations

    ISBN

    978-3-319-91475-6
    978-3-319-91476-3

    From Grant

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-319-91476-3_35

    DOI

    http://dx.doi.org/10.1007/978-3-319-91476-3_35

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1104043180


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