The OWA operators gained interest among researchers as they provide a continuum of aggregation operators able to cover the whole range of compensation between the minimum and the maximum. In some circumstances, it is useful to consider a wider range of values, extending below the minimum and over the maximum. ST-OWA are able to surpass the boundaries of variation of ordinary compensatory operat...

This chapter presents a new approach for solving the paradoxical Blackman’s association problem. It utilizes a new class of fusion rules based on fuzzy T-conorm/T-norm operators together with Dezert-Smarandache theory and the relative variations of generalized pignistic probabilities measure of correct associations defined from a partial ordering function of hyper-power set. The ability of this...

This small chapter presents an approach providing fast reduction of total ignorance in the process of target identification. It utilizes the recently defined fusion rule based on fuzzy T-conorm/Tnorm operators, as well as all the available information from the adjoint sensor and additional information obtained from the a priori defined objective and subjective considerations, concerning relatio...

Fuzzy Hamming Distance is successfully used in a Content-Based Image Retrieval (CBIR) system as a similarity measure. The system performs a m × n partitioning of the compared images and for each partitions pairs evaluates FHD. In the last step the FHD are defuzzified and the results are combined in a final score. In order to take full advantage of the use of fuzzy sets, the current study invest...

In this paper we use a comparison measure which can be adapted to various different applications and has many good properties for further analysis. This comparison measure is based on the adaptive aggregation of the t-norms and t-conorms. We test this measure in classification tasks, with Dombi and Yager type of t-norm and t-conorm operators. The classification results are compared to plain t-n...

We generalize the Weil descent construction of the GHS attack to arbitrary Artin-Schreier extensions. We give a formula for the characteristic polynomial of Frobenius of the obtained curves and prove that the large cyclic factor of the input elliptic curve is not contained in the kernel of the composition of the conorm and norm maps. As an application we almost square the number of elliptic cur...

In this article we are presenting two new classes of t-norm and t-conorm based generalized means with weights. We are going to test usability of these measures which we get by combining classes of t-norms and t-conorms to the generalized mean operator. Since we are using the generalized mean we have an additional parameter that controls the power which the argument values are raised. Dombi and ...

In this work we deal with the problem of using OWA operators in color image reduction algorithms. For this reason, we study OWA operators defined on an arbitrary finite lattice endowed with a t-norm and a t-conorm. In the case of RGB color images, we apply OWA operators defined on a finite product lattice. Depending on the OWA operator considered, we see that the reduced images become brighter ...