Approximate reasoning with generalized orthopair fuzzy sets

被引：159
|
作者：
Yager, Ronald R. [1 ,2 ]
Alajlan, Naif [3 ]
机构：
[1] Iona Coll, Inst Machine Intelligence, New Rochelle, NY 10801 USA
[2] King Saud Univ, Riyadh, Saudi Arabia
[3] King Saud Univ, Coll Comp & Informat Sci, ALISR Lab, Riyadh, Saudi Arabia
来源：
INFORMATION FUSION | 2017年 / 38卷
关键词：
Approximate reasoning; Computing with words; Fuzzy logic; Generalized intuitionistic fuzzy sets; PYTHAGOREAN MEMBERSHIP GRADES; RETRANSLATION; FUZZINESS; NEGATION; TRUTH; MODEL;
D O I：
10.1016/j.inffus.2017.02.005
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 generalized orthopair fuzzy sets, which provide an extension of intuitionistic fuzzy sets. The basic properties of these generalized orthopair fuzzy sets are discussed. We discuss the use of these sets in knowledge representation. We consider the use of these types of orthopair fuzzy sets as a basis for the system of approximate reasoning introduced by Zadeh. This is referred to as OPAR. The basic operations of OPAR are introduced. A reasoning mechanism in OPAR, based on the idea of entailment, is provided. We look at the formulation of the ideas of possibility and certainty using these orthopair fuzzy sets. (C) 2017 Elsevier B.V. All rights reserved.
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页码：65 / 73
页数：9
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