On Monotonicities of Interval Valued Functions
Ana Shirley Monteiro, Regivan Santiago, Martin Papco, Radko Mesiar,, Humberto Bustince
TL;DR
This paper introduces new concepts of monotonicity for interval-valued functions, expanding existing theories to more general ordered interval spaces.
Contribution
It generalizes weak/directional and G-monotonicity notions for intervals with admissible orders, broadening the theoretical framework.
Findings
Defines weak/directional monotonicity for interval functions
Introduces G-monotonicity for intervals with admissible orders
Extends existing monotonicity concepts to more general ordered intervals
Abstract
In this paper, we develop the notions of weak/directional monotonicity (developed by Sesma-Sara et al. in terms of the \emph{Kulisch-Miranker order}) and the notion of -monotonicity (introduced by Santiago et al. for ) for intervals endowed with admissible orders.
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Taxonomy
TopicsMathematical Inequalities and Applications · Fuzzy Systems and Optimization · Functional Equations Stability Results