Interval-valued Atanassov intuitionistic t-norms and t-conorms endowed with the usual or admissible orders

被引：2

作者：

Bedregal, Benjamin ^{[1
]}

Lima, Lucelia ^{[2
]}

Rocha, Marcus ^{[3
]}

Dimuro, Gracaliz ^{[4
,5
]}

Bustince, Humberto ^{[5
]}

机构：

[1] Univ Fed Rio Grande do Norte, Dept Informat & Matemat Aplicada, Campus Univ Lagoa Nova, BR-59078970 Natal, RN, Brazil

[2] Univ Amazonia, Campus Ananindeua, Rod Bernardo Sayao, 8420,Coqueiro, BR-67030007 Ananindeua, PA, Brazil

[3] Univ Fed, Fac Matemat, R Augusto Correa, 01-Guama, BR-66075110 Belem, PA, Brazil

[4] Univ Fed Rio Grande, Ctr Ciencias Computacionais, Ave Italia, s-n km 8 Carreiros, BR-96203900 Rio Grande, do Sul, Brazil

[5] Univ Publ Navarra, Dept Estadist, Informat & Matemat, Campus Arrosadia, Pamplona 31006, Navarra, Spain

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2023年 / 42卷 / 01期

关键词：

Interval-valued Atanassov intuitionist fuzzy sets; Admissible linear orders; t-norms; t-conorms; Composition of fuzzy relations; Approximate reasoning; FUZZY IMPLICATIONS; PRE-AGGREGATION; GENERATION; OPERATORS; REPRESENTATIONS; INTEGRALS;

D O I：

10.1007/s40314-022-02179-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The interval-valued fuzzy sets and Atanassov intuitionistic fuzzy sets can be extended to a more general framework to simultaneously deal with uncertainty in both membership and non-membership values. This fact leads to the concept of interval-valued Atanassov intuitionistic fuzzy sets (IVAIFS), as given by Atanassov and Gargov (Fuzzy Sets Syst, 31(3):343-349, 1989). In this paper, we focus on the study of interval-valued Atanassov intuitionistic t-norms and t-conorms, studying important properties and characterizations of some of their sub-classes. In addition, we do not only consider just the usual order on IVAIFS, but also admissible orders. Finally, we establish the basis for the use of this study in the approximate reasoning context.

引用

页数：26

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