Fuzzy dissimilarities and the fuzzy Choquet integral of triangular fuzzy numbers on [0,1]

被引：0

作者：

de Hierro, A. F. Roldan Lopez ^{[1
]}

Cruz, A. ^{[2
]}

Santiago, R. H. N. ^{[3
]}

Roldan, C. ^{[1
]}

Garcia-Zamora, D. ^{[4
]}

Neres, F. ^{[5
]}

Bustince, H. ^{[6
]}

机构：

[1] Univ Granada, Dept Stat & Operat Res, Granada, Spain

[2] Univ Fed Rio Grande do Norte, Inst Metropole Digital, Natal, RN, Brazil

[3] Univ Fed Rio Grande do Norte, Dept Informat & Matemat Aplicada, Natal, RN, Brazil

[4] Univ Jaen, Dept Comp, Jaen, Spain

[5] Univ Fed Rural Semi Arido, Dept Ciencia & Tecnol, Caraubas, Caraubas, RN, Brazil

[6] Univ Publ Navarra, Dept Estadist Informat & Matemat, Pamplona, Spain

来源：

FUZZY SETS AND SYSTEMS | 2025年 / 505卷

关键词：

Choquet integral; Fuzzy number; Dissimilarity; Ranking; Alpha-ordering; Binary relation; RESTRICTED EQUIVALENCE FUNCTIONS; AGGREGATION;

D O I：

10.1016/j.fss.2025.109277

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Having in mind the huge amount of data daily registered in the world, it is becoming increasingly important to summarize the information included in a data set. In Statistics and Computer Science, this task is successfully carried out by aggregation functions. One of the most widely applied methodologies of aggregating data is the Choquet integral. The main aim of this paper is to introduce an appropriate notion of Choquet integral in the context of fuzzy numbers. To do this, we face three challenges: the underlying uncertainty when handling fuzzy numbers, the way to order fuzzy numbers by appropriate binary relations and the way to compute the dissimilarity among fuzzy numbers. Illustrative examples are given by involving the alpha-order on the family of all triangular fuzzy numbers with support on [0, 1].

引用

页数：29

共 28 条

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