The decision data of human judgments with preferences are often vague in many real life cases. Human judgments with preferences are often unclear and hard to estimate by exact numerical values. So that the traditional ways of using crisp values are inadequate. The relationship among criteria and choosing and rating alternatives based on criterion are often expressed in terms of linguistic terms...

We present a solution procedure for a quadratic programming problem with some probabilistic constraints where the model parameters are either triangular fuzzy number or trapezoidal fuzzy number. Randomness and fuzziness are present in some real-life situations, so it makes perfect sense to address decision making problem by using some specified random variables and fuzzy numbers. In the present...

Ranking fuzzy numbers plays an important role in data analysis, decision making optimization, forecasting etc. The last few decades have seen a large number of methods investigated for ranking fuzzy numbers. In this paper, a new approach is proposed for the ranking of generalized trapezoidal fuzzy numbers namely Haar ranking and is based on the approximate coefficients and detailed coefficients...

Difficulties associated with free-surface finite element flow simulations are related to a) nonlinear and advective nature of most hydrodynamic flows, b) requirements for compatibility between velocity and pressure interpolation, c) maintaining a valid computational mesh in the presence of moving boundaries, and d) enforcement of the kinematic conditions at the free surface. Focusing on the las...

In this paper, we want to present a new method for ranking exponential fuzzy numbers with use weighted average and weighted width in TRD distance. Weighted average and weighted width of exponential fuzzy numbers combines in TRD distance for ranking method. A simpler and easier approach is proposed for the ranking of generalized trapezoidal fuzzy numbers. For the validation the results of the pr...

The main aim of this paper is to characterize the set of real parameters associated to a fuzzy number, represented in a general form which include the most important characteristics, with the following property: for any given fuzzy number there exists at least a trapezoidal fuzzy number which preserves a fixed parameter. The uniqueness of the nearest trapezoidal fuzzy number with this property ...

This paper solves a particular incremental motion control problem, which is specified by the trapezoidal velocity profile, using multisegment sliding mode control. Each segment of the multisegment switching surfaces is designed to match the corresponding part of the trapezoidal velocity profile, so that the motor dynamics on the specified-segment switching surface have the desired velocity or a...

This paper illustrates a Comparative study of highly non-linear, complex and multivariable Inverted Pendulum (IP) system on Cart using different soft computing techniques. Firstly, a Fuzzy logic controller was designed using triangular and trapezoidal shape Membership functions (MF's). The trapezoidal fuzzy controller shows better results in comparison to triangular fuzzy controller. Secondly, ...