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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Liu et al. (2025) studied this question.
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