Results 31 to 40 of about 3,889 (138)
Coxeter's enumeration of Coxeter groups
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley +1 more source
Further Results on Geometric Properties of a Family of Relative Entropies
This paper extends some geometric properties of a one-parameter family of relative entropies. These arise as redundancies when cumulants of compressed lengths are considered instead of expected compressed lengths.
M., Ashok Kumar, Sundaresan, Rajesh
core +1 more source
Multidimensional Topological Measure Spaces and Their Applications in Decision‐Making Problems
This paper presents a generalized framework termed the multidimensional topological measure space (MDTMS), developed through multidimensional fuzzy sets, multidimensional topology, and an associated distance measure. The suggested framework enhances traditional fuzzy models by facilitating a more nuanced representation and examination of intricate ...
Jomal Josen +3 more
wiley +1 more source
Fixed Points of Suzuki Contractive Mappings in Modular b‐Metric Spaces With an Application
We introduce the concept of a generalized ZC‐type Suzuki contraction utilizing the generalized framework of metric spaces known as the partial modular b‐metric space in the light of an amorphous binary relation. This conceptual advancement facilitates the derivation of a series of relation–theoretical common fixed‐point theorems, underscoring the ...
Gopi Prasad, Emanuel Guariglia
wiley +1 more source
This paper advances the theory of bipolar Pythagorean neutrosophic fuzzy (BPNF) sets by establishing their formalization within a topological and metric framework, while also demonstrating their role in decision‐making under uncertainty. The main contributions are as follows: (1) definition and characterization of BPNF topological spaces, providing a ...
Akiladevi Natarajan +5 more
wiley +1 more source
Subgroup Decomposition of the Gini Coefficient: A New Solution to an Old Problem
We derive a novel decomposition of the Gini coefficient into within‐ and between‐group inequality terms that sum to the aggregate Gini coefficient. This decomposition is derived from a set of axioms that ensure desirable behavior for the within‐ and between‐group inequality terms.
Vesa‐Matti Heikkuri, Matthias Schief
wiley +1 more source
Fast Shapley Value Approximation Through Machine Learning With Application in Routing Problems
ABSTRACT For many routing applications, it is not only necessary to minimize total costs but also to allocate them to individual customers. In this context, the allocation according to the Shapley value is a well‐known method highly regarded for its fulfillment of major fairness criteria.
Johannes Gückel, Pirmin Fontaine
wiley +1 more source
Intergenerational Equity and the Forest Management Problem [PDF]
The paper re-examines the foundations of representation of intertemporal preferences that satisfy intergenerational equity, and provides an axiomatic characterization of those social welfare relations, which are representable by the utilitarian ordering,
Mitra, Tapan
core
Generalised asymptotic equivalence for extensive and non-extensive entropies
We extend the Hanel and Thurner asymptotic analysis to both extensive and non-extensive entropies on the basis of a wide class of entropic forms. The procedure is known to be capable to classify multiple entropy measures in terms of their defining ...
Bizet, Nana Cabo +2 more
core +1 more source
Learning in random utility models via online decision problems
Abstract This paper examines the Random Utility Model (RUM) in repeated stochastic choice settings where decision‐makers lack full information about payoffs. We propose a gradient‐based learning algorithm that embeds RUM into an online decision‐making framework.
Emerson Melo
wiley +1 more source

