Fuzzy control is one of the most important parts of fuzzy theory for which several approaches exist. Mamdani uses $alpha$-cuts and builds the union of the membership functions which is called the aggregated consequence function. The resulting function is the starting point of the defuzzification process. In this article, we define a more natural way to calculate the aggregated consequence funct...

In this paper, we introduce the new definition of rough membership function using continuous and discuss several concepts properties set value functions as results on function. Moreover, extend to topology spaces by substituting an equivalence class prove some theorems certain types more general fundamental generalized sets. Our result concept valued theory.

Fuzziness is ever presented in real life decision making problems. In this paper, we adapt the pessimistic approach tostudy a pair of linear primal-dual problem under intuitionistic fuzzy (I-fuzzy) environment and prove certain dualityresults. We generate the duality results using exponential membership and non-membership functions to represent thedecision maker’s satisfaction and dissatisfacti...

Predicting air pollution is an important prerequisite for estimating, monitoring and mapping unknown pollution values. We can use fuzzy spatial prediction techniques to determine pollution concentration areas in practical situations where our observations are imprecise and vague. Fuzzy membership kriging with a semi-statistical membership function is an example of this type of technique. The im...

Rough set is a new approach to uncertainties in spatial analysis. In this paper, we complete three works under the umbrella of rough space. First, a set of simplified rough symbols is extended on the basis of existing rough symbols. It is in terms of rough interpretation and specialized indication. Second, rough spatial entity is proposed to study the real world as it is, without forcing uncert...

in this paper, by means of fuzzy approaches, an accurate method is introduced for edging of color photographs. the difference between our method with other similar methods is the use of a morphological operation to think or thick the obtained edges. in this proposed method, a 3×3 window is dragged on the photo. for each block, 12 point sets will be defined, each including two non-overlapping po...

fuzzy linear programming problem occur in many elds such as mathematical modeling, control theory and management sciences, etc. in this paper we focus on a kind of linear programming with fuzzy numbers and variables namely fully fuzzy linear programming (fflp) problem, in which the constraints are in inequality forms. then a new method is proposed to ne the fuzzy solution for solving (fflp). ...

In this paper, a new approach is proposed in order to select an optimal membership function for inputs of wind speed prediction system. Then using a fuzzy method and the stochastic characteristics of wind speed in the previous year, the wind speed modeling is performed and the wind speed for the future year will be predicted. In this proposed method, the average and the standard deviation of in...

During the procedure of fuzzy modeling, we use various methods to update the parameters of membership functions and the shapes of MFs change during the training procedure. So it is obvious that the shape and the distribution of MFs (not a single MF) must implicate some kinds of knowledge of target function (the function to fit) or the problem we try to model. This paper introduced the entropy E...