This paper presents a new approach to multiobjective optimization by evolutionary algorithm. The approach is based on fuzzification of Pareto dominance relation. Using fuzzy degrees of dominance, a set of vectors (multiple objectives) can be partially ranked. The FDD algorithm, a modification of standard genetic algorithm using this ranking scheme for the selection operations, is presented and ...

In this paper, we consider the intuitionistic fuzzification of the concept of p-ideals in BCI-algebras and investigate some of their properties. Intuitionistic fuzzy p-ideals are connected with intuitionistic fuzzy ideals and intuitionistic fuzzy subalgebras. Moreover, intuitionistic fuzzy p-ideals are characterized using level subsets, homomorphic pre-images, and intuitionistic fuzzy ideal ext...

We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK-algebra and investigate some related properties.

Fuzzy cellular automata (FCA) are continuous cellular automata where the local rule is defined as the “fuzzification” of the local rule of a corresponding Boolean cellular automaton in disjunctive normal form. In this paper, we consider circular FCA; their asymptotic behaviours had previously been observed through simulation and FCA had been empirically classified accordingly. However, no analy...

The notion of absorbent ordered filters in implicative semigroupsis introduced, and its fuzzification is considered. Relations among (fuzzy) orderedfilters, (fuzzy) absorbent ordered filters, and (fuzzy) positive implicativeordered filters are stated. The extensionproperty for (fuzzy) absorbent orderedfilters is established. Conditions for (fuzzy) ordered filters to be (fuzzy)absorbent ordered ...

In this paper we use the method of fuzzification crisp set to fuzzy as extension set. particular concepts closed filters a bounded BE-algebra are introduced; and also some related properties investigated. As result new concept BE-algebras discussed. Using idea BE-algebras, general characterization theorems that filter proved. Furthermore, theorem relate in abounded is