In this paper we consider a continuous version of cellular automata (Fuzzy CA) obtained by “fuzzification” of the disjunctive normal form which describes the corresponding Boolean rule. We concentrate on Fuzzy rule 90, whose Boolean version has deserved some attention for the complex patterns it generates. We show that the behavior of Fuzzy rule 90 is very simple, in that the system always conv...

We distinguish three types of uncertainty: the probabilistic, the quantum and the fuzzy uncertainty. In these three contexts, we use diierent mathematical models to describe the event structures | the Boolean, the quantum and the fuzzy logics. We deene states in a uniform way as valuations. Let us ask the following question: If a; b are two elements of a (Boolean, quantum, fuzzy, resp.) logic L...

extended abstract introduction water resources management in arid and semi-arid areas is very important to provide of water for stakeholders. in recent decades, construction of underground dams have been considered, because of its advantages. these dams have many advantages, e.g., unlike a surface dam, land is not submerged to store water and there is no danger of breaching due to natural or ma...

In this paper, we introduce Interpolative Boolean algebra (IBA) as a suitable algebra for intuitionistic fuzzy sets (IFSs). IBA is [0,1]-valued realization of Boolean algebra, consistent with Boolean axioms and theorems. IFS theory takes into account both membership and non-membership function, so it can be viewed as a generalization of the traditional fuzzy set theory. We propose a realization...

Triggers (active rules) bring domain-specific reactive behavior to databases. Traditional Event-Condition-Action triggers use only crisp concepts. In this paper, fuzzy triggers are proposed whereby approximate reasoning may be integrated with a traditional crisp database. The new approach paves the way for intuitive expression of application semantics of imprecise nature in database-bound appli...

In classical Boolean logic, data is represented as being either entirely true or entirely false. In most real world phenomena however, it is rare that en entity will be absolutely true or absolutely false. When designing a system, Boolean logic lacks the tools necessary to deal with this kind of uncertainty. Using fuzzy logic we were able to develop a system that is able to deal with uncertaint...

Contrasting to Description Logics (DLs), there are some inherent shortcomings in classical fuzzy Description Logics (FDLs). For example, they no longer satisfy the complementary laws. In this paper, to analyze these shortcomings derived from Zadeh semantics, an improved fuzzy set definition using Boolean lattices is approached, whereas, the analogous definition of Zadeh Fuzzy Set can only use a...

Aiming at high overshoot and steady-state error in fuzzy controller of underwater vehicles, a new method based on data mining technique was presented. Apply Boolean association rule data mining to mine the polling list of fuzzy control from the database of manual operation record, and simulation and outfield experiments were carried out on Super Mohawk underwater vehicle to verify the feasibili...