Chapter 4

Sublinear-like Scalarization Scheme for Sets and its Applications to Set-valued Inequalities

Koichiro Ike

Niigata University, Niigata 950–2181, Japan.

Yuto Ogata

Niigata University, Niigata 950–2181, Japan.

Tamaki Tanaka

Niigata University, Niigata 950–2181, Japan.

Hui Yu

Niigata University, Niigata 950–2181, Japan.

4.1    Introduction

When we want to evaluate performance for sport teams or compare various factors in quality control, we should deal with families whose elements are some kinds of vectors, and we frequently encounter some difficult situations on the decision-making by a certain methodology for comparisons between sets.

Generally speaking, comparing two or more things is a basic and essential operation in various ...

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