Multidistances and inequality measures on abstract sets: An axiomatic approach

Campion M. J.; Diaz I; Indurain E.Martin J.Mayor G.Montes S.Raventos-Pujol A.

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Multidistances and inequality measures on abstract sets: An axiomatic approach

机译：Multidistances and inequality measures on abstract sets: An axiomatic approach

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摘要

Starting from the notion of a multidistance, we formalize, through a suitable system of axioms, the concept of an inequality measure defined on a nonempty set with no additional structure implemented a priori. Among inequality measures, apart from multidistances we pay special attention to dispersions, and study their main features. Classical concepts will be generalized to this abstract setting. Multidistances are then revisited, and some new methods to generate them are implemented. A wide spectrum of interdisciplinary applications is outlined in the final section. (C) 2021 The Authors. Published by Elsevier B.V.

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《Fuzzy sets and systems》 |2022年第15期|53-68|共16页
作者
Campion M. J.; Diaz I; Indurain E.Martin J.Mayor G.Montes S.Raventos-Pujol A.;
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作者单位

Univ Islas Baleares, Dept Ciencias Matemat & Informat, Palma De Mallorca, Spain;

Univ Oviedo, Dept Stat & OR Math Educ, Oviedo, Spain;

Univ Publ Navarra, Inarbe Inst Adv Res Business & Econ, Pamplona, Spain|Univ Publ Navarra, Dept Estadist Informat & Matemat, Pamplona, SpainUniv Oviedo, Dept Comp Sci, Oviedo, SpainUniv Publ Navarra, Dept Estadist Informat & Matemat, Pamplona, Spain|Univ Publ Navarra, Inst Adv Mat & Math InaMat2, Pamplona, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类
关键词
Multidistances; Inequality measures on general sets; Axiomatic definitions of means and dispersions;

Multidistances and inequality measures on abstract sets: An axiomatic approach

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