Pythagorean Fuzzy Full Implication Triple I Method and Its Application in Medical Diagnosis
Pythagorean Fuzzy Full Implication Triple I Method and Its Application in Medical Diagnosis
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DOI：
10.1007/s40815-022-01261-8
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发表时间：
2022-03-17
影响因子：
4.3
通讯作者：
He Y
中科院分区：
文献类型：
--
作者：
Nan T;Zhang H;He Y
研究了勾股模糊环境下的全蕴涵三I方法。本文首先提出了勾股t-范数、勾股t-同余、剩余勾股模糊蕴涵算子（RPFIO）和勾股模糊双剩余的概念。建立了Pythagorean模糊肯定前件（PFMP）和Pythagorean模糊否定前件（PFMT）的全蕴涵三I方法。分析了PFMP和PFMT模型的全蕴涵三I方法的鲁棒性、连续性和可逆性。最后通过一个实际问题说明了该方法在医学诊断中的有效性。并说明了新方法的优点。总体而言，与现有方法相比，所提方法基于逻辑推理，而不是使用集结算子，能够更准确、完整地表达决策信息。
This paper is devoted to the research of full implication triple I method under Pythagorean fuzzy environment. We first propose the concepts of Pythagorean t-norm, Pythagorean t-conorm, residual Pythagorean fuzzy implication operator (RPFIO) and Pythagorean fuzzy biresiduum. The full implication triple I method for Pythagorean fuzzy modus ponens (PFMP) and Pythagorean fuzzy modus tollens (PFMT) are also established. In addition, the properties of full implication triple I method of PFMP and PFMT models including the robustness, continuity and reversibility are analyzed. Finally, a practical problem is discussed to demonstrate the effectiveness of the Pythagorean fuzzy full implication multiple I method in medical diagnosis. The advantages of the new method are also explained. Overall, compared with the existing methods, the proposed methods are based on logical reasoning rather than using aggregation operators, so they can more accurately and completely express decision information.
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