In this paper, we describe the orbital structure of homogeneous fuzzy parallel dynamical systems on Zadeh operators. particular, show that, when (global) evolution operator is either conjunction AND or disjunction OR, all points system are fixed eventually points. Specifically, such present infinitely many On other hand, NOR NAND, consists an only point and 2-periodic

The need for weight-optimised aerospace structures results in flexible structures with highly nonlinear behaviour. Their control presents challenges that require control theory be developed in order to enable the trend toward lighter structures to continue. Two classes of problem of particular interest in control are systems with a high degree of nonlinearity inherent in the structure and those...

The fuzzy logic theory proposed by Zadeh (1965) is based on intuitive reasoning and takes into account human subjectivity and imprecision. Unlike statistical data mining techniques such as cluster or regression analysis, fuzzy logic enables the use of nonnumerical values and introduces the notion of linguistic variables (Zadeh, 1975a, 1975b, 1975c). Using linguistic terms and variables hides Ab...

Preference modelling and choice theory are common to many di erent areas including operational research, economics, arti cial intelligence and social choice theory. We consider \vague preferences" and introduce a new technique to model this vagueness with the aim of making a choice at the nal stage. Our basic tools of modelling will be fuzzy relations and interval valued fuzzy sets. Speci cally...

It is well accepted that in many real life situations information is not certain and precise but rather uncertain or imprecise. To describe uncertainty probability theory emerged in the 17th and 18th century. Bernoulli, Laplace and Pascal are considered to be the fathers of probability theory. Today probability can still be considered as the prevalent theory to describe uncertainty. However, in...

This paper provides a notion of Zadeh categories as a categorical structure formed by fuzzy relations with sup-min composition, and proves two representation theorems for Dedekind categories (relation categories) with a unit object analogous to one-point set, and for Zadeh categories without unit objects.