Aspects of generalized orthopair fuzzy sets

被引：92
作者：
Yager, Ronald R. [1 ]
Alajlan, Naif [2 ]
Bazi, Yakoub [2 ]
机构：
[1] Iona Coll, Machine Intelligence Inst, New Rochelle, NY 10801 USA
[2] King Saud Univ, Coll Comp & Informat Sci, ALISR Lab, Riyadh, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS | 2018年 / 33卷 / 11期
关键词：
dual aggregation operators; fuzzy sets; orthopair membership grades; rung; PYTHAGOREAN MEMBERSHIP GRADES;
D O I：
10.1002/int.22008
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We introduce the idea of orthopair membership grades and the related idea of general orthopair fuzzy sets. It is noted that these generalize the intuitionistic and Pythagorean fuzzy sets by allowing the support for and against membership to be almost anywhere in [0, 1]x[0, 1], giving systems modelers great freedom in capturing human knowledge. The aggregation of generalized orthopair fuzzy sets is considered with particular concern for the OWA and Choquet aggregation. The concepts of possibility and certainty as well as plausibility and belief are investigated in this general orthopair environment. We study arithmetic operations on general orthopair fuzzy sets. We show how to obtain associated interval valued fuzzy sets from general orthopair fuzzy sets.
引用
收藏
页码：2154 / 2174
页数：21
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