In signal processing applications, a key role is played by the Fourier transforms. The mathematical structure underlying Fourier analysis is the linear structure. In the present paper we propose and study a tool designed for nonlinear signal and image processing, that is novel Fourier-like transforms, based on a pair of pseudo-operations consisting of a uninorm and an absorbing norm. We analyse...

Based on Lambek calculus and residuated lattices, psUL has been proposed by Metcalfe, Olivetti and Gabbay as a non-commutative version of the uninorm logic UL, but until recently the corresponding research has been lacking. The present paper mainly surveys the schematic extensions of psUL as well as the relation between non-commutative logics having been studied based on pseudo-t-norm. In parti...

In this paper we discuss the benefits of using full reinforcement operators for site selection in spacecraft landing on planets. Specifically we discuss a modified Uninorm operator for evaluating sites and a Fimica operator to aggregate pixels for constructing regions that will act as sites to be selected at lower spacecraft altitude. An illustrative case study of spacecraft target landing is p...

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 the field of marketing, Importance-Performance Analysis is a useful technique for evaluating the elements of a marketing program. The importance dimension of this technique is often determined in a regression based approach. However, this approach has certain problems and limitations. A new approach, based on uninorms, is suggested. This article shows that the uninorm approach possesses seve...

In this paper we introduce the semi-uninorm based ordered weighted averaging (SUOWA) operators, a new class of aggregation functions that, as WOWA operators, simultaneously generalize weighted means and OWA operators. To do this we take into account that weighted means and OWA operators are particular cases of Choquet integral. So, SUOWA operators are Choquet integral-based operators where thei...

Abstract An algebraic proof is presented for the finite strong standard completeness of Involutive Uninorm Logic with Fixed Point ( $${{\mathbf {IUL}}^{fp}}$$ IUL fp ). It may provide a first step towards settling problem $${\mathbf {IUL}}$$ , pos...