Approximate reasoning with aggregation functions satisfying GMP rules

被引：4

作者：

Li, Dechao ^{[1
]}

Zeng, Qingxue ^{[2
]}

机构：

[1] Zhejiang Ocean Univ, Sch Informat & Engn, Zhoushan 316000, Peoples R China

[2] Zhejiang Ocean Univ, Key Lab Oceanog Big Data Min & Applicat Zhejiang, Zhoushan 316022, Peoples R China

来源：

ARTIFICIAL INTELLIGENCE REVIEW | 2022年 / 55卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Implication; Aggregation; Approximate reasoning; Validity; GMP rules; FUZZY-SYSTEMS; MODUS PONENS; LOGIC; CONJUNCTIONS;

D O I：

10.1007/s10462-022-10136-1

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

To strengthen the effectiveness of approximate reasoning in fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT) problems, three approximate reasoning methods with aggregation functions are developed and their validity are investigated respectively in this paper. We firstly study some properties of fuzzy implication generated by an aggregation function. And then present an A-compositional rule of inference as an extension of Zadeh's CRI replacing t-norm by aggregation function. The similarity-based approximate reasoning with aggregation function is further discussed. Moreover, we provide the quintuple implication principle method with aggregation function to solve FMP and FMT problems. Finally, the validity of three approximate reasoning approaches is analyzed respectively using GMP rules in detail.

引用

页码：5575 / 5595

页数：21

共 41 条

[21] Properties of Raha's similarity-based approximate reasoning method
Li, Yingfang
Qin, Keyun
He, Xingxing
Meng, Dan
[J]. FUZZY SETS AND SYSTEMS, 2016, 294 : 48 - 62
[22] Approximation theory of fuzzy systems based upon genuine many-valued implications - SISO cases
Li, YM
Shi, ZK
Li, ZH
[J]. FUZZY SETS AND SYSTEMS, 2002, 130 (02) : 147 - 157
[23] FUZZY COMPLEMENTS
LOWEN, R
[J]. INFORMATION SCIENCES, 1978, 14 (02) : 107 - 113
[24] FUZZY MODUS PONENS - A NEW MODEL SUITABLE FOR APPLICATIONS IN KNOWLEDGE-BASED SYSTEMS
MAGREZ, P
SMETS, P
[J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 1989, 4 (02) : 181 - 200
[25] APPLICATION OF FUZZY LOGIC TO APPROXIMATE REASONING USING LINGUISTIC-SYNTHESIS
MAMDANI, EH
[J]. IEEE TRANSACTIONS ON COMPUTERS, 1977, 26 (12) : 1182 - 1191
[26] A survey on fuzzy implication functions
Mas, M.
Monserrat, M.
Torrens, J.
Trillas, E.
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (06) : 1107 - 1121
[27] RU and (U, N)-implications satisfying Modus Ponens
Mas, M.
Monserrat, M.
Ruiz-Aguilera, D.
Torrens, J.
[J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2016, 73 : 123 - 137
[28] FUZZY-REASONING UNDER NEW COMPOSITIONAL RULES OF INFERENCE
MIZUMOTO, M
[J]. KYBERNETES, 1985, 14 (02) : 107 - 117
[29] On fuzzy implications determined by aggregation operators
Ouyang, Yao
[J]. INFORMATION SCIENCES, 2012, 193 : 153 - 162
[30] Unified full implication algorithms of fuzzy reasoning
Pei, Daowu
[J]. INFORMATION SCIENCES, 2008, 178 (02) : 520 - 530

← 1 2 3 4 5 →