Journal
INFORMATION SCIENCES
Volume 614, Issue -, Pages 104-122Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2022.10.017
Keywords
Overlap function; Semi-overlap function; Fuzzy reasoning; Quintuple implication principle; Classification algorithm
Categories
Funding
- National Natural Science Foundation of China [12271319]
- Brazilian National Council for Scientific and Technological Development-CNPq [311429/2020-3]
- Major Program of the National Social Science Foundation of China [20ZD047]
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This study relaxes the definition of general overlap functions and introduces semi-overlap functions. It explores their algebraic properties and residual implications, and considers the application of QIP in fuzzy modus ponens problems. A new classification algorithm based on semi-overlap functions and QIP is proposed, and its performance is compared with another algorithm.
In order to get a more general result related on fuzzy implications that induced by aggregation functions, we relax the definition of general overlap functions, more precisely, removing its right-continuous, and introduce a new kind of aggregation function, which called semi-overlap function. Subsequently, we explore some of their related algebraic properties and its corresponding residual implications. Moreover, serval scholars have provided kinds of methods for fuzzy modus ponens (FMP, for short) problems, such as Zadeh's compositional rule of inference (CRI, for short), Wang's triple I method (TIM, for short) and quintuple implication principle (QIP, for short). Compared with CRI and TIM, QIP has some advantages in solving FMP problems. Based on the above theory foundation of semioverlap functions and their residual implications, we further consider the QIP for FMP problems. Finally, we propose a new classification algorithm that based on semi-overlap functions and QIP, which called SO5I-FRC algorithm. Through the comparative tests, the average accuracy of SO5I-FRC algorithm is higher than FARC-HD algorithm. The experimental results indicate that semi-overlap functions and QIP have certain advantages and a wide range of applications in classification problems. (c) 2022 Elsevier Inc. All rights reserved.
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