About a new family of fuzzy operations

Данная статья представляет результаты исследования аддитивных генераторов в форме дробно-линейных функций. Определены ограничения на коэффициенты возрастающих и убывающих генераторов. Показано, что обратные функции при выполнении определенных условий также являются аддитивными генераторами. Для каждого случая найдены соответствующие треугольные нормы или конормы. Установлено, что треугольные нормы и конормы, полученные на основе дробно-линейных функций, а также двойственные им имеют одинаковую структуру. Определены значения параметров, при которых получаются известные семейства. По сути, предложено новое семейства двойственных треугольных норм и конорм, которое обобщает известные семейства. This article presents the results of the study of additive generators in the form of fractional linear functions. Restrictions on the coefficients of increasing and decreasing generators are determined. It is shown that inverse functions under certain conditions are also additive generators. For each case, the corresponding triangular norms or conorms are found. It is established that triangular norms and conorms obtained on the basis of fractional linear functions, as well as dual ones, have the same structure. The values of the parameters at which the known families are obtained are determined. In fact, a new family of dual triangular norms and conorms is proposed, which generalizes the known families.

Some methods to construct t-norms and t-conorms on bounded lattices

In this paper, we give construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on appropriate bounded lattices. Then, we compare our methods and well-known methods proposed in [2, 8, 19]. Finally, we give different construction methods for t-norms and t-conorms on an appropriate bounded lattice by using recursion. Also, we provide some examples to discuss introduced methods.

n-Expansively super-homogeneous and $(n,k)$-contractively sub-homogeneous fuzzy control functions and stability results with numerical examples

We consider fuzzy sets and generalized triangular norms on positive elements of order commutative $C^{*}$ C ∗ -algebras to study the concept of $C^{*}$ C ∗ -algebra valued normed algebras with uncertainty. Using n-expansively super-homogeneous and $(n,k)$ ( n , k ) -contractively sub-homogeneous control functions, we make stochastic $(\Theta,\Upsilon,\Xi )$ ( Θ , ϒ , Ξ ) -derivations stable and get a better estimated error. We present some numerical examples of control functions and approximations to illustrate the applicability of the main results.

Contactless Multi-biometric System Using Fingerprint and Palmprint Selfies

Due to the COVID-19 pandemic, automated contactless person identification based on the human hand has become very vital and an appealing biometric trait. Since, people are expected to cover their faces with masks, and advised avoiding touching surfaces. It is well-known that usually contact-based hand biometrics suffer from issues like deformation due to uneven distribution of pressure or improper placement on sensor, and hygienic concerns. Whereas, to mitigate such problems, contactless imaging is expected to collect the hand biometrics information without any deformation and leading to higher person recognition accuracy; besides maintaining hygienic and pandemic concerns. Towards this aim, in this paper, an effective multi-biometric scheme for person authentication based on contactless fingerprint and palmprint selfies has been proposed. In this study, for simplicity and efficiency, three local descriptors, i.e., local phase quantization (LPQ), local Ternary patterns (LTP), and binarized statistical image features (BSIF), have been employed to extract salient features from contactless fingerprint and palmprint selfies. The score level fusion based multi-biometric system developed in this work combines the matching scores using two different fusion techniques, i.e., transformation based-rules like triangular norms and classifier based-rules like SVM. Experimental results on two publicly available databases (i.e., PolyU contactless to contact-based fingerprint database and IIT-Delhi touchless palmprint dataset) show that the proposed contactless multi-biometric selfie system can easily outperform uni-biometrics.