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

In this paper, we define the notion of a t-intuitionistic fuzzy conjugate element and determine conjugacy classes subgroup. We propose idea p− subgroup prove version Cauchy theorem. addition, present investigate various fundamental algebraic characteristics notion. Furthermore, provide Sylow fuzzification Sylow's theorems.

This study investigates the optimization of an integrated production–inventory system that consists original equipment manufacturer (OEM) supplier and OEM brand company. The cognitive skill learning effect, imperfect quality, fuzzy random demand are incorporated into two-echelon supply chain model to minimize total cost. We contribute dividing effect learning, we build a new curve resemble real...