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.

引用

页码：65 / 73

页数：9

共 50 条

[41] Interpolation fuzzy reasoning based on fuzzy sets
Li, Fan
Wang, Ying
Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology, 2000, 28 (08): : 12 - 13
[42] Intelligent Medical Diagnosis Reasoning Using Composite Fuzzy Relation, Aggregation Operators and Similarity Measure of q-Rung Orthopair Fuzzy Sets
Dounis, Anastasios
Stefopoulos, Angelos
APPLIED SCIENCES-BASEL, 2023, 13 (23):
[43] AN ALGEBRAIC FUZZY STRUCTURE FOR APPROXIMATE REASONING
GISOLFI, A
FUZZY SETS AND SYSTEMS, 1992, 45 (01) : 37 - 43
[44] Approximate reasoning with fuzzy soft set
Karim, I. U.
Akkash, M. F.
Raha, S.
IRANIAN JOURNAL OF FUZZY SYSTEMS, 2022, 19 (04): : 107 - 124
[45] Inverted Fuzzy Implications in Approximate Reasoning
Suraj, Zbigniew
Lasek, Agnieszka
Lasek, Piotr
FUNDAMENTA INFORMATICAE, 2016, 143 (1-2) : 151 - 171
[46] Knowledge measure for the q-rung orthopair fuzzy sets
Khan, Muhammad Jabir
Kumam, Poom
Shutaywi, Meshal
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2021, 36 (02) : 628 - 655
[47] Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets
Bustince, H
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2000, 23 (03) : 137 - 209
[48] Approximate reasoning algorithm of interval-valued fuzzy sets based on least square method
Zeng, Wenyi
Feng, Shuang
INFORMATION SCIENCES, 2014, 272 : 73 - 83
[49] Rough sets, modal logic and approximate reasoning
Chakraborty, Mihir Kr.
Majumder, Sandip
Kar, Samarjit
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2025, 176
[50] Information measures for q-rung orthopair fuzzy sets
Peng, Xindong
Liu, Lin
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2019, 34 (08) : 1795 - 1834

← 1 2 3 4 5 →