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The Equation I(S(x, y), z)=T(I(x, z),I(y, z))for t-representable t-conorms and t-norms Generated from Continuous, Archimedean Operations

机译：从连续的阿基米德运算生成的t可表示的t型定理和t范数的方程I（S（x（y，y），z）= T（I（x，z），I（y，z））

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In this article we continue investigations presented at previous WILF 2011 conference which are connected with distributivity of implication operations over t-representable t-norms and t-conorms. Our main goal is to show the general method of solving the following distributivity equation I(S(x,y),z)=T(I(x,z),I(y,z)), when S is a t-representable t-conorm on L~1 generated from two continuous, Archimedean t-conorms, T is a t-representable t-norm on L~1 generated from two continuous, Archimedean t-norms and I is an unknown function.

机译：在本文中，我们将继续进行在上届WILF 2011大会上进行的调查，这些调查与t可表示的t范数和t范式上的蕴涵运算的分布有关。我们的主要目标是展示解决以下分布方程I（S（x，y），z）= T（I（x，z），I（y，z））的一般方法，当S为t-由两个连续的阿基米德t准则生成的L〜1上可表示的t范，T是由两个连续的阿基米德t准则生成的L〜1上的t可表示的t范，我是一个未知函数。

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来源
《Fuzzy logic and applications》|2013年|131-138|共8页
会议地点 Genoa(IT)
作者
Michal Baczynski;
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作者单位

Institute of Mathematics, University of Silesia,40-007 Katowice, ul. Bankowa 14, Poland;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Interval-valued fuzzy sets; Triangular norm; Triangular conorm; Distributivity equations; Functional equations;

机译：区间值模糊集；三角范数三角锥分布方程；功能方程;

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1. On two distributivity equations for fuzzy implications and continuous, Archimedean t-norms and t-conorms [J] . Michal Baczynski Fuzzy sets and systems . 2013,第JANa16期

机译：关于模糊含意和连续的阿基米德t范数和t范数的两个分布方程
2. Q-Rung Orthopair Fuzzy Integrals in the Frame of Continuous Archimedean T-Norms and T-Conorms and Their Application [J] . Ai Zhenghai, Xu Zeshui, Yager Ronald R., IEEE Transactions on Fuzzy Systems . 2021,第5期

机译：Q-rung orthopair模糊集成在连续的Archimedean T-Norms和T-Conorms及其应用的框架中
3. Conditional distributivity for uni-nullnorms with continuous and Archimedean underlying t-norms and t-conorms [J] . Wang Gang, Qin Feng, Li Wen-Huang Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2019,第3期

机译：UNI-NULLNORMS与连续和ARCHIMEDEAN底层T-NURMS和T-Conorms的条件分配
4. The Equation I(S(x, y), z) = T(I(x, z),I(y, z)) for t-representable t-conorms and t-norms Generated from Continuous, Archimedean Operations [C] . Michal Baczynski International Workshop on Fuzzy Logic and Applications . 2013

机译：等式I（S（x，y），z）= t（i（x，z），i（y，z））用于从连续，ARCHIMEDEAN操作生成的T-Chineable T-Conorms和T-Norms
5. Surface Disturbances Generated by Fluid Flow Past an Obstacle or Over Topography as Predicted by the Korteweg-De Vries and the Euler Equations [D] . Robinson, Quentin A. 2018

机译：由Korteweg-De Vries和Euler方程预测的，越过障碍物或地形引起的流体流动产生的表面扰动
6. On the Logic of Left-Continuous t-Norms and Right-Continuous t-Conorms [O] . Lluís Godo, Martín Sócola-Ramos, Francesc Esteva -1

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7. On the distributive equation for t-representable t-norms generated from nilpotent and strict t-norms [O] . Michal Baczynski 2011

机译：在尼利特和严格的T-NURMS产生的T-Chegable T-Norms的分布式方程
8. Determining Continuous-Time State Equations from Discrete-Time State Equations via the Principal qth Root Method [R] . Shieh, L. S., Tsai, J. S., Lian, S. R. 1986

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The Equation I(S(x, y), z)=T(I(x, z),I(y, z))for t-representable t-conorms and t-norms Generated from Continuous, Archimedean Operations

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