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T_(D)生成的三角模

Triangular Norms Generated by Drastic Product T_(D)
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摘要 三角模在一些领域中有广泛的应用,如概率度量空间、多值逻辑、广义测度和积分、决策等,因此构造不同的三角模显得尤为重要。本文主要研究了TD利用一元函数进行变换生成一类新的三角模,并给出对偶三角余模的相关结论。 Triangular norms are widely used in several domains such as probabilistic metric spaces,many-valued logics,generalized measures and integrals,and decision making,so it is particularly important to construct different triangular norms.In this paper,a new class of triangular norms generated by TD is mainly studied by using unary functions,and the related conclusions of dual triangular norms are given.
作者 孙文璟 李琪 李钢 SUN Wen-jing;LI Qi;LI Gang(School of Mathematics and Statistics,QiLu University of Technology(Shandong Academy of Sciences),Jinan 250353,China)
出处 《齐鲁工业大学学报》 CAS 2021年第2期62-68,共7页 Journal of Qilu University of Technology
基金 国家自然科学基金(61977040) 山东省自然科学基金(ZR2019MF055)。
关键词 三角模 极端积 变换 一元函数 triangular norm drastic product transformation a binary operation
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