Results 111 to 120 of about 8,805 (137)

On the distributive equation of implication based on a continuous t-norm and a continuous Archimedean t-conorm

2011 4th International Conference on Biomedical Engineering and Informatics (BMEI), 2011
In order to avoid combinatorial rule explosion in fuzzy reasoning, in this work we explore the distributive equation of implication I(T(x, y), z) = S(I(x, z), I(y, z)). In detail, by means of the sections of I, we give out the sufficient and necessary conditions of solutions for the distributive equation of implication I(T (x, y), z) = S(I(x, z), I(y ...
Feng Qin, Ping-Chong Yang
openalex   +2 more sources

On the determination of left-continuous t-norms and continuous archimedean t-norms on some segments

Aequationes mathematicae, 2005
A \(t\)(riangular) norm is a function \(T:[0,1]^2\to [0,1]\) such that for all \(x,y,z\in [0,1]\) we have \(T(x,y)=T(y,x),\,T(T(x,y),z)=T(x,T(y,z)),\,T(x,1)=x\) and \(T(x,\cdot)\) is increasing. The author finds new sets of uniqueness for (continuous Archimedean and left continuous) \(t\)-norms. These sets of uniqueness are some vertical segments of \([
Sándor Jenei
openalex   +3 more sources

Distributivity of Implication Operations over T-Representable T-Norms Generated from Continuous and Archimedean T-Norms

, 2012
During previous IPMU 2010 conference we have started investigations connected with finding all solutions of the distributive equation of implications \(\mathcal{I}(x,\mathcal{T}_1(y,z)) = \mathcal{T}_2(\mathcal{I}(x,y),\mathcal{I}(x,z))\) over t-representable t-norms in interval-valued fuzzy sets theory, i.e., when t-representable t-norms \(\mathcal{T ...
Michał Baczyński
openalex   +2 more sources

Characterizations of uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms

Fuzzy Sets and Systems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Sun, Xue-ping Wang, Xiao-bing Qu
openalex   +3 more sources

The dominance relation in some families of continuous Archimedean t-norms and copulas

Fuzzy Sets and Systems, 2008
Recently, \textit{P. Sarkoci} [Aequationes Math. 75, No. 3, 201--207 (2008; Zbl 1148.26016)] has shown that the dominance relation is not transitive in the class of continuous t-norms. When applying triangular norms, mostly some special families are considered and then it is important to know whether the transitivity of the dominance relation holds in ...
Susanne Saminger‐Platz
openalex   +3 more sources

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

, 2013
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 \(\mathcal{I}(\mathcal{S}(x,y),z) = \mathcal{T}(\mathcal{I}(x,z),\
Michał Baczyński
openalex   +2 more sources

Constructing new loss functions for machine learning using strict continuous Archimedean t-norms

2025 11th International Conference on Optimization and Applications (ICOA)
Mohamed Hssini, Mustapha Atraoui
openalex   +2 more sources

MINIMIZING A LINEAR FRACTIONAL FUNCTION SUBJECT TO A SYSTEM OF SUP-T EQUATIONS WITH A CONTINUOUS ARCHIMEDEAN TRIANGULAR NORM

, 2009
Pingke, Li -, Shu-Cherng, Fang
  +4 more sources

Some of the next articles are maybe not open access.

Related searches:

Distributivity and Conditional Distributivity for Uninorms With Continuous Underlying Operators Over a Given Continuous t-Norm

IEEE Transactions on Fuzzy Systems, 2021
Yong Su, Wenwen Zong, Jianrong Wu
exaly  

On LMI conditions to design robust static output feedback controller for continuous-time linear systems subject to norm-bounded uncertainties

International Journal of Systems Science, 2021
Hassène Gritli, Ali Zemouche, Safya Belghith   +2 more
exaly