We propose a technique that we call HodgeRank for ranking data that may be incomplete
and imbalanced, characteristics common in modern datasets coming from e-commerce and …

This book provides axioms of partial order and some basic material, for example
consequences of “criss-crossing” of data profiles, the role of aggregations of the indicators …

Abstract Comparison of objects characterized by a multitude of criteria will typically not lead
to a linear order, but to a partial order. However, often a linear order is desirable or even …

To upgrade the groundwater quality evaluation model based on the Hasse diagram
technique (HDT), this paper established a new evaluation model based on game theory and …

We describe the cone of deformations of a Coxeter permutahedron, or equivalently, the nef
cone of the toric variety associated to a Coxeter complex. This class of polytopes contains …

Suppose a new deck of cards is shuffled. Then as the number of shuffles grows, the
distribution of the deck becomes closer and closer to uniform over the set of permutations of …

Urban air pollution with benzene, toluene, ethyl benzene and xylenes (BTEX) is a common
phenomenon in major cities where the pollution mainly originates from traffic as well as from …

Many important invariants for matroids and polymatroids, such as the Tutte polynomial, the
Billera–Jia–Reiner quasi-symmetric function, and the invariant G introduced by the first …

Abstract The United Nations' Sustainable Development Goals (SDG) includes specific
targets addressing factors of importance to reduced gender inequality and promotes gender …

We initiate the study of a class of polytopes, which we coin polypositroids, defined to be
those polytopes that are simultaneously generalized permutohedra (or polymatroids) and …