This paper reveals the analytical structure of a fuzzy twoterm (PI/PD) controller which employs N1 (≥3) number of symmetric fuzzy sets for the input variable ‘displacement’, N2 (≥3) number of symmetric fuzzy sets for the input variable ‘velocity’ and N1+N2-1 number of symmetric fuzzy sets for the output variable ‘controller output’. The analytical structures are derived via triangular membershi...

Recently, fuzzy multi-sets have come to the forefront of scientists’ interest and been used in algebraic structures such as multi-groups, multi-rings, anti-fuzzy multigroup (α, γ)-anti-fuzzy subgroups. In this paper, we first summarize knowledge about structure γ)-anti-multi-fuzzy a way, notion is an application multi sets theory group. The concept complement set that generalizes both theories ...

In many applied disciplines like computer science, coding theory and formal languages, the use of fuzzified algebraic structures play a remarkable role. In this paper, we introduced some new types of generalization of an intuitionistic fuzzy interior ideal, called (α, β)-intuitionistic interior ideals of an ordered semigroup S. The important milestone of this paper is to link the ordinary inter...

We present some connections between the max-min general fuzzy automaton theory and the hyper structure theory. First, we introduce a hyper BCK-algebra induced by a max-min general fuzzy automaton. Then, we study the properties of this hyper BCK-algebra. Particularly, some theorems and results for hyper BCK-algebra are proved. For example, it is shown that this structure consists of different ty...

Recently, fuzzy multisets have come to the forefront of scientists’ interest and been used for algebraic structures such as groups, rings, near rings. In this paper, we first summarize knowledge about structure multi-subnear rings multi-ideals Then recall results from our related previous work, where defined different operations on generalized some known ideals Finally, define anti-fuzzy (multi...

Algebraic structures such as Bottleneck Algebras (R,Max,Min), Fuzzy Algebras ((0, 1),Max,Min) or more generally ((0, 1),Max, T ) where T is a t-norm have been extensively used as relevant tools for modeling and solving problems related to Fuzzy Sets, Fuzzy relations and systems. Many of these algebraic structures may be viewed as special instances of canonically ordered Semirings, (i.e. semirin...

The study of symmetry is one the most important and beautiful themes uniting various areas contemporary arithmetic. Algebraic structures are useful in pure mathematics for learning a geometrical object’s symmetries. In this paper, we introduce new concepts an algebraic structure called BCI-algebra, where present bipolar fuzzy (closed) BCI-positive implicative ideals BCI-commutative BCI-algebras...

In our previous study, we were interested in the equational fragment of first-order fuzzy logic [2, 3]. It turned out that the models of the equational fragment (which we call algebras with fuzzy equalities) are interesting and natural structures by themselves. The present paper provides an introductory study to the structures of equational fragment of fuzzy logic. The paper is an excerpt from ...