Ranking of fuzzy numbers play an important role in decision making, optimization, forecasting etc. Fuzzy numbers must be ranked before an action is taken by a decision maker. In this paper, with the help of several counter examples it is proved that ranking method proposed by Chen and Chen (Expert Systems with Applications 36 (2009) 6833-6842) is incorrect. The main aim of this paper is to prop...

Recently, many scholars investigated interval, triangular, and trapezoidal approximations of fuzzy numbers. These researches can be grouped into two classes: the Euclidean distance class and the non-Euclidean distance class. Most approximations in the Euclidean distance class can be calculated by formulas, but calculating approximations in the other class is more complicated. In this paper, we ...

A micro-channel heat exchanger reactor with different micro-baffle shapes has been studied numerically. Governing equations were solved base on the finite volume method with FLUENT software. In upper section, oxidation reaction of methanol was occurred and in lower section, steam reforming of methanol was done. Two sections were separated with solid part which played as heat exchanger and trans...

Received 17September 2013; accepted 5 October2013 L Baba Abstract. Finding shortest paths in graphs has been the area of interest for many researchers. Shortest paths are one of the fundamental and most widely used concepts in networks. In this paper the authors present an algorithm to find an Intuitionistic Fuzzy Shortest Path (IFSP) in a directed graph in which the cost of every edges are rep...

introduction coastal sand dunes are  important morphological forms in caspian coastal regions. these dunes are formed and developed under the influence of sediment influx, climate, impact of wind, waves, currents. these are parallel to the coastal characterisitics with enough space for expansion. the whole collection of these parameters are available in many coastal areas of the caspian sea , b...

Linear programming problems with trapezoidal fuzzy numbers have recently attracted much interest. Various methods have been developed for solving these types of problems. Here, following the work of Ganesan and Veeramani and using the recent approach of Mahdavi-Amiri and Nasseri, we introduce the dual of the linear programming problem with symmetric trapezoidal fuzzy numbers and establish some ...

This paper presents a topology with a reduced number of switches, which is used to reduce the total harmonic distortion (THD%) using MCPWM technique, MCPWM with trapezoidal reference wave and also SHE technique such as PSO technique and Newton-Raphson (NR) technique. SHE technique is used to eliminate a particular harmonic in a multilevel inverter (MLI);the MCPWM and Trapezoidal reference wave ...

In this paper, an improvement of the nearest trapezoidal approximation operator preserving the expected interval is studied, which is proposed by Grzegorzewski and Mrówka. A formula for computing the improved approximation is presented. Moreover, the nearest triangular approximation operator preserving the expected interval is also investigated. © 2007 Elsevier B.V. All rights reserved.

The Riemann sums and the trapezoidal sums of functions defined on a bounded closed interval are well known as approximate sums of the Riemann integrals of the functions. In this paper the author represents the convergence rates of the Riemann sums and the trapezoidal sums as some limits of their expanded error terms. Let [a, b] be a bounded closed interval. We take an n-division ∆ of [a, b] def...