On S-generalized multidistances and their aggregation

Calvo Sanchez T.; Fuster-Parra P.

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On S-generalized multidistances and their aggregation

机译：On S-generalized multidistances and their aggregation

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? 2023 Elsevier B.V.We introduce a new class of multidistances, they are called S-generalized multidistances, defined by means of a t-conorm S. The main properties of them are analyzed and some examples are given. We have also established some relations between a multidistance and an S-generalized multidistance through the additive generator of the t-conorm. In this context, we study how to combine a collection of ({Sk}k=1m)-generalized multidistances in order to obtain a new S-generalized multidistance. In addition, we prove that properties of the S-generalized multidistances are preserved through the aggregation process. Finally, we give some characterizations of the aggregation functions of a family of ({Sk}k=1m)-generalized multidistances based on another aggregation function and the additive generators of the involved t-conorms.

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《Fuzzy sets and systems》 |2023年第30期|1.1-1.16|共16页
作者
Calvo Sanchez T.; Fuster-Parra P.;
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作者单位

Department of Computer Science Universidad de Alcalá;

Departament de Ciències Matemàtiques i Informàtica Universitat Illes BalearsDepartament de Ciències Matemàtiques i Informàtica Universitat Illes Balears||Institut d' Investigació Sanitària Illes Balears (IdISBa) Hospital Universitari Son Espases||;

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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
中图分类数学;
关键词
Aggregation function; Distance; Metric space; Multidistance; Pseudo-metric; S-generalized multidistance; T-conorms;

On S-generalized multidistances and their aggregation

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