Knowledge learning and empirical research of improved pan‐logical fuzzy sets

Abstract In view of the large number of complex operations generated in the application of integrated fuzzy systems, the efficiency of system processing is affected. Based on the basis of Zadeh fuzzy sets, the study introduces the concept of opposite negation, medium negation, and contradiction in philosophical negation and computer logic. After repeated research and demonstration of the internal relations, basic characteristics, and fusion conditions between the three kinds of logical negatives, it innovatively proposed IPLF.sets. Then, the evaluation set of various logical variables and their evolution forms can be directly involved in the calculation. And then, the full membership function f ( x ) with good approximation performance is constructed by fully verifying the operation rules and the feasibility of logical transformation under the premise of the known local membership function g ( x ). The IPLF.sets practical application of the results shows that (1) dealing with complex problems can be simplified and more efficient. (2) The output is valid, reasonable, and accurate. (3) The integration of philosophical logic enhances the ability to judge the fuzzy system and improves the evaluation accuracy.

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Publication Details

Journal
Asian Journal of Control
Published
2025-11-24
DOI
https://doi.org/10.1002/asjc.3891
Primary Topic
Fuzzy Logic and Control Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Knowledge learning and empirical research of improved pan‐logical fuzzy sets

Jack Ding, Yucheng Liu, Luxin Yang, Shaonan Shan
Asian Journal of Control
Fuzzy Logic and Control Systems
article

Knowledge learning and empirical research of improved pan‐logical fuzzy sets

Jack Ding, Yucheng Liu, Luxin Yang, Shaonan Shan
article en

Abstract

Abstract In view of the large number of complex operations generated in the application of integrated fuzzy systems, the efficiency of system processing is affected. Based on the basis of Zadeh fuzzy sets, the study introduces the concept of opposite negation, medium negation, and contradiction in philosophical negation and computer logic. After repeated research and demonstration of the internal relations, basic characteristics, and fusion conditions between the three kinds of logical negatives, it innovatively proposed IPLF.sets. Then, the evaluation set of various logical variables and their evolution forms can be directly involved in the calculation. And then, the full membership function f ( x ) with good approximation performance is constructed by fully verifying the operation rules and the feasibility of logical transformation under the premise of the known local membership function g ( x ). The IPLF.sets practical application of the results shows that (1) dealing with complex problems can be simplified and more efficient. (2) The output is valid, reasonable, and accurate. (3) The integration of philosophical logic enhances the ability to judge the fuzzy system and improves the evaluation accuracy.

Asian Journal of Control
Shenyang Aerospace University (CN), Nanjing University of Finance and Economics (CN), Shenyang University of Technology (CN), University of Toronto (CA), Nanjing University of Information Science and Technology (CN), Toronto Arts Foundation (CA), Shenyang University (CN)
National Natural Science Foundation of China, Government of Jiangsu Province, Nanjing University, Nanjing University of Finance and Economics, Division of Graduate Education
Openalex Percentile: Top 81%
Fuzzy Logic and Control Systems
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Knowledge learning and empirical research of improved pan‐logical fuzzy sets — Jack Ding, Yucheng Liu, et al. · Asian Journal of Control (2025) | TGRS Research Map | TGRS