Application of multi criteria decision making methods to select sheet hydroforming process parameters

Abstract

The present study endeavors to show an application of the multi objective optimization on the basis of ratio analysis (MOORA) method and technique for order performance by similarity to ideal solution (TOPSIS) method to select optimal process parameters in sheet hydroforming process. The right choice of the process parameters is critical to produce a final part with proper quality. In order to meet this characteristic, the important properties are the cup final thickness (FT), required forming force (FF) and radial stress (RS) at cup wall region. Nine alternatives for selecting the process parameters were taken into consideration based on Taguchi L9 orthogonal array. The limit drawing ratio (LDR), maximum pressure and prebulge pressure were selected as input variables. To solve the problem of process parameters' selection, the two mentioned methods were used. A compromised weighting approach composed of Entropy and analytic hierarchy process (AHP) methods were used to weight all criteria. The alternatives ranking were performed using MOORA and TOPSIS methods and then the results were compared. The results achieved in both of the assessment represent that the alternative number 3, leads to the best multi performance features of the process among the 9 experiments. In this experiment LDR is 1.81, maximum pressure and prebulge pressure are 37 MPa and 15 MPa, respectively.

A Guide to Integrating Expert Opinion and Fuzzy AHP When Generating Weights for Composite Indices

“…Table 9 provides an example of how to assign triangular fuzzy values based on the STI scale. Equal importance (2,3,4) Weak importance (4,5,6) Fair importance (6,7,8) Strong importance (9,9,9) Absolute importance e third step of the FAHP method is to develop the fuzzy pairwise comparison matrix (FPCM), i.e., the fuzzification process. e previous methods discussed build up to this step as they facilitate the process of transforming the expert weights into fuzzy values.…”

“…To elaborate upon the FPCM, let us attempt to compute the triangular fuzzy values for the proxy "restricting economic freedoms" (EF) in relation to the proxy "rule of law" (RL). e proxy EF is 1 STI from RL, i.e., EF pertains to the 70th percentile with an F-Scale of (6,7,8) and RL pertains to the 60th percentile with an F-Scale of (4,5,6). is means that EF is of higher importance relative to RL in a 1v1 comparison.…”

“…e fuzzy analytic hierarchy process (FAHP) is based on Zadeh's [6] fuzzy set theory and Saaty's [7] analytic hierarchy process (AHP) method for multicriteria decision making (MCDM), a technique that helps in complex decision-making problems particularly in the presence of a large number of alternatives and criteria [8,9]. According to Kabir and Hasin [10], there are several methods to conduct FAHP, including but not limited to: fuzzy logarithmic least-squares method [11], geomean method [12], synthetic extent analysis [13], fuzzy least square method [14], lambda-max method [15], nonlinear fuzzy preference programming [16], and two-stage logarithmic programming [17], among others.…”

Use of Determination of the Importance of Criteria in Business-Friendly Certification of Cities as Sustainable Local Economic Development Planning Tool

“…The first approach is simply algebraic aggregation of the individual judgments obtained for each method used in different algebraic form as in [26,49,[65][66][67], where, in the paper [26], one of possible ways of algebraic aggregation of objective and subjective determining of the criteria weights is given in the form of a kind of arithmetic mean (same approach of aggregation authors propose in the paper [49], using AHP and entropy methods, and also in [65] in the case of material selection, and in [66], used to select sheet hydroforming process parameters). In contrast, paper [67] has considered two possible ways of algebraic aggregation of objective and subjective determining of the criteria weights in the form of a kind of arithmetic and geometric mean.…”

Development of entropy embedded COPRAS-ARAS hybrid MCDM model for optimizing EDM parameters while machining high carbon chromium steel plate

“…Meena et al 29 optimized the cutting parameters like frequency, current, and pulse on time during EDM of micro holes on Cp titanium. Modanloo et al 30 applied MOORA and TOPSIS methods to select the optimal process parameters for sheet hydroforming process. Chakraborty and Banik 14 used AHP technique for designing a material handling equipment selection model under specific environment.…”