On Admissible Total Orders for Interval-valued Intuitionistic Fuzzy Membership Degrees

被引:7
作者
Da Silva, I. A. [1 ]
Bedregal, B. [2 ]
Santiago, R. H. N. [2 ]
机构
[1] Univ Fed Rio Grande do Norte, Programa Posgrad Engn Elet & Comp, Campus Univ S-N, BR-59078970 Natal, RN, Brazil
[2] Univ Fed Rio Grande do Norte, Dept Informat & Matemat Aplicada, Campus Univ S-N, BR-59078970 Natal, RN, Brazil
关键词
Interval-valued intuitionistic fuzzy sets; Score function; Accuracy function; Admissible total orders;
D O I
10.1016/j.fiae.2016.06.003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The linearity contained in the natural order of unit interval [0, 1] plays an important role in many concepts and applications of fuzzy theory. Besides, it is very important in concepts like ordered weighted aggregation operators (OWA) and fuzzy decision making. However, this linearity is not inherited by most of fuzzy logics which extend the standard one. To recover the linearity for such frameworks it is required that its related partial order to be extended give rise to the notion of admissible order. In this paper, we study some admissible orders for the framework of interval-valued intuitionistic fuzzy logic.
引用
收藏
页码:169 / 182
页数:14
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