Approximate Reasoning: Rough Logics

2022 ◽  
pp. 207-234
Author(s):  
Lech T. Polkowski
Keyword(s):  
Approximate Reasoning

scholarly journals Approximate reasoning with fuzzy rule interpolation: background and recent advances

2021 ◽  
Author(s):  
Fangyi Li ◽  
Changjing Shang ◽  
Ying Li ◽  
Jing Yang ◽  
Qiang Shen
Keyword(s):  
Fuzzy Inference ◽  
Fuzzy Rule ◽  
Approximate Reasoning ◽  
Rule Based ◽  
Reasoning Systems ◽  
Significant Interest ◽  
Recent Developments ◽  
Rule Bases ◽  
The Given ◽  
Computing Approach

AbstractApproximate reasoning systems facilitate fuzzy inference through activating fuzzy if–then rules in which attribute values are imprecisely described. Fuzzy rule interpolation (FRI) supports such reasoning with sparse rule bases where certain observations may not match any existing fuzzy rules, through manipulation of rules that bear similarity with an unmatched observation. This differs from classical rule-based inference that requires direct pattern matching between observations and the given rules. FRI techniques have been continuously investigated for decades, resulting in various types of approach. Traditionally, it is typically assumed that all antecedent attributes in the rules are of equal significance in deriving the consequents. Recent studies have shown significant interest in developing enhanced FRI mechanisms where the rule antecedent attributes are associated with relative weights, signifying their different importance levels in influencing the generation of the conclusion, thereby improving the interpolation performance. This survey presents a systematic review of both traditional and recently developed FRI methodologies, categorised accordingly into two major groups: FRI with non-weighted rules and FRI with weighted rules. It introduces, and analyses, a range of commonly used representatives chosen from each of the two categories, offering a comprehensive tutorial for this important soft computing approach to rule-based inference. A comparative analysis of different FRI techniques is provided both within each category and between the two, highlighting the main strengths and limitations while applying such FRI mechanisms to different problems. Furthermore, commonly adopted criteria for FRI algorithm evaluation are outlined, and recent developments on weighted FRI methods are presented in a unified pseudo-code form, easing their understanding and facilitating their comparisons.

scholarly journals Truth Degrees Theory and Approximate Reasoning in 3-Valued Propositional Pre-Rough Logic

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Yingcang Ma ◽  
Juanjuan Zhang ◽  
Huan Liu
Keyword(s):  
Approximate Reasoning ◽  
Logical Formula ◽  
Concept Of Truth ◽  
Truth Degrees ◽  
Truth Degree

By means of the function induced by a logical formulaA, the concept of truth degree of the logical formulaAis introduced in the 3-valued pre-rough logic in this paper. Moreover, similarity degrees among formulas are proposed and a pseudometric is defined on the set of formulas, and hence a possible framework suitable for developing approximate reasoning theory in 3-value logic pre-rough logic is established.

Neural networks designed on approximate reasoning architecture and their applications

1992 ◽  
Vol 3 (5) ◽  
pp. 752-760 ◽  
Author(s):  
H. Takagi ◽  
N. Suzuki ◽  
T. Koda ◽  
Y. Kojima
Keyword(s):  
Neural Networks ◽  
Approximate Reasoning

Axiomatic approach to implication for approximate reasoning with fuzzy logic

1980 ◽  
Vol 3 (2) ◽  
pp. 193-219 ◽  
Author(s):  
J.F. Baldwin ◽  
B.W. Pilsworth
Keyword(s):  
Fuzzy Logic ◽  
Axiomatic Approach ◽  
Approximate Reasoning

Approximate Reasoning Based on Upper Approximation

2010 ◽  
Author(s):  
Yan Lin ◽  
Mou Zhansheng ◽  
Li Fuyou ◽  
Liu Jinjin ◽  
Zhang Zidong
Keyword(s):  
Approximate Reasoning ◽  
Upper Approximation

Approximate reasoning using LR fuzzy number as input for sensorless fuzzy control

2016 ◽  
Author(s):  
Takashi Mitsuishi ◽  
Takanori Terashima ◽  
Nami Shimada ◽  
Toshimichi Homma ◽  
Yasunari Shidama
Keyword(s):  
Fuzzy Control ◽  
Fuzzy Number ◽  
Approximate Reasoning ◽  
Lr Fuzzy Number
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