In this paper, we study sufficient conditions to improve the lower bound on algebraic immunity of a direct sum Boolean functions. We exhibit three properties component functions such that satisfying one them is ensure their exceeds maximum immunities. These can be checked while computing and they allow determine better security provided by central in different cryptographic constructions as str...

Mathematical modelling of the simplest Takagi−Sugeno fuzzy Two-Input Two-Output (TITO) Proportional-Integral/Proportional-Derivative (PI/PD) controller is presented in this paper. model PI/PD proposed using Algebraic Product (AP) t-norm, Bounded Sum (BS) t-co-norm and Center Gravity (CoG) defuzzifier. The inputs are fuzzified by sets having L <math id="mathml_M2"...

the paper sets forth in detail categorically-algebraic or catalg foundations for the operations of taking the image and preimage of (fuzzy) sets called forward and backward powerset operators. motivated by an open question of s. e. rodabaugh, we construct a monad on the category of sets, the algebras of which generate the fixed-basis forward powerset operator of l. a. zadeh. on the next step, w...

A few of the algebraic and topological properties of intutionistic fuzzy continuity and uniformly intutionistic fuzzy continuity are investigated. Also, the concept of uniformly intutionistic fuzzy convergence is introduced thereafter a few results on uniformly intutionistic fuzzy convergence are studied.

This paper deals with a broad question—to what extent is topology algebraic—using two specific questions: (1) what are the algebraic conditions on the underlying membership lattices which insure that categories for topology and fuzzy topology are indeed topological categories; and (2) what are the algebraic conditions which insure that algebraic theories in the sense of Manes are a foundation f...

in this paper we propose and construct fuzzy algebraic additive model, for the estimation of risk in various fields of human activities or nature’s behavior. though the proposed model is useful in a wide range of scientific fields, it was designed for to torrential risk evaluation in the area of river evros. clearly the model’s performance improves when the number of parameters and the actual d...

We study operations on fuzzy languages such as union, concatenation, Kleene ⋆, intersection with regular fuzzy languages, and several kinds of (iterated) fuzzy substitution. Then we consider families of fuzzy languages, closed under a fixed collection of these operations, which results in the concept of full Abstract Family of Fuzzy Languages or full AFFL. This algebraic structure is the fuzzy ...

The logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics. The sets of provable formulas in corresponding inference systems from the point of view of uncertain information can be described by fuzzy filters of those algebraic semantics. Bounded residuated lattice ordered monoids (R`-monoids) are a common generalization of pseudo ...