In this article the notions of semi weak orthogonality and semi weak factorization structure in a category $mathcal X$ are introduced. Then the relationship between semi weak factorization structures and quasi right (left) and weak factorization structures is given. The main result is a characterization of semi weak orthogonality, factorization of morphisms, and semi weak factorization structur...

Recently the distributive equations involving various classes of aggregation operators have aroused widespread attention because of their importance in the theoretic and applied communities of fuzzy set theory. 2-uninorms and semi-t-operators are two special classes of aggregation operators and have been proved to be useful in many areas such as fuzzy decision making, approximate reasoning and ...

Background: Mechanical occlusion of the Left atrial appendage (LAA) using a purpose-built device has emerged as an effective prophylactic treatment in patients with atrial fibrillation at risk of stroke and a contraindication for anticoagulation. A crucial step in procedural planning is the choice of the device size. This is currently based on the manual analysis of the “Device Landing Zone” fr...

The distributive laws of ring theory are fundamental equalities in algebra. However, recently the study Yang-Baxter equation, many algebraic structures with alternative “distributive” were defined. In an effort to these “left distributive” and interaction they entail on structures, Brzezi?ski introduced skew left trusses semi-trusses. particular class semi-trusses is very wide, since it contain...

In this paper, we suggest an implementation of non-commutative logic and apply its operators for decision-making in a group autonomous agents. The suggested extend the uninorm absorbing norm aggregators use additional asymmetry parameter that defines “level non-commutativity”. value is specified using perception bias humans measured experiments. method are illustrated by simulated behavior mobi...

We present a deep learning model for finding human-understandable connections between input features. Our approach uses parameterized, differentiable activation function, based on the theoretical background of nilpotent fuzzy logic and multi-criteria decision-making (MCDM). The learnable parameter has semantic meaning indicating level compensation neural network determines parameters using grad...

Interpretability in intelligent models becomes a challenge academic research and approaches that facilitate understanding the responses obtained based on artificial intelligence machine learning. This paper presents new logical fuzzy neuron concept of null-uninorm, thus called null-unineuron to compose architecture an evolving neuro-fuzzy model. structural can extract advanced rules allowing AN...

In this paper, we further investigate the constructions of fuzzy connectives on a complete lattice. We firstly illustrate the concepts of strict left (right)-conjunctive left (right) semi-uninorms by means of some examples. Then we give out the formulas for calculating the upper and lower approximation strict left (right)-conjunctive left (right) semi-uninorms of a binary operation.