Decision Maker Priority Index and Degree of Vagueness Coupled Decision Making Method: A Synergistic Approach

Hussain, Syed Abou Iltaf; Mandal, Uttam Kumar; Mondal, Sankar Prasad

doi:10.1007/s40815-017-0440-9

Cited by 23 publications

(14 citation statements)

References 50 publications

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“…The mathematical model contemplates risk management by converting the decision matrix into relative benefit matrix. The algorithm of the novel MCDM method is given as [36]: First step: Formation of a decision matrix (D) Decision matrix is a set of system data that represents the performance measures of the experiments by D-optimality design. Based on the decision matrix, the best experimental settings are chosen by exploring the various perspectives of the performance measures.…”

Section: The Proposed Multi-criteria Decision Modelmentioning

confidence: 99%

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Selection of best process parameters for friction stir welded dissimilar Al-Cu alloy: a novel MCDM amalgamated MORSM approach

Medhi

Hussain

Roy

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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The paper focuses on developing a novel decision-making model, to select the best welding parameters for friction stir welding of dissimilar aluminium to copper plates. A set of 21 experiments are carried out based on a d-optimal design matrix. Apart from considering the rotational speed and traverse speed as input variables, the position of aluminium and copper either in the advancing or retreating side is also considered as an input variable. On the successful fabrication of joints, the ultimate tensile strength, elongation, hardness and impact energy are estimated experimentally which are considered as performance parameters. The proposed decision-making process is categorized under multi-criteria decision-making (MCDM) methods. In the first phase, the novel MCDM model is applied to select the best welding parameters. The concept of the model is to minimize the risk of not attaining the global best result. The results obtained by the MCDM method is justified by carrying out a sensitivity analysis and finally validated with the results obtained from the fuzzy logic decision-making approach. The second phase is related to the computation of optimized values for the joining process that reports the development of a mathematical model by response surface methodology to predict different performance parameters. This is followed by conducting a trade-off analysis by developing a multi-objective response surface methodology (MORSM) that computes the optimal welding parameters. Finally, a confirmatory test is carried out for validation of the proposed MORSM model.

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Section: The Proposed Multi-criteria Decision Modelmentioning

confidence: 99%

“…With the idea of comparing the values of different performance measures, the elements of relative benefit matrix are converted into dimensionless numbers [36]. The normalize matrix is computed according to Eq.…”

Section: Third Step: Computation Of Normalize Matrix (N)mentioning

confidence: 99%

Selection of best process parameters for friction stir welded dissimilar Al-Cu alloy: a novel MCDM amalgamated MORSM approach

Medhi

Hussain

Roy

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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“…In the present complex socio-economic world reaching to a rational conclusion is a strenuous and hard activity. Mostly, due to the fact that the real world problem are poorly structured for single criterion examination [49]. Hence for this reason, decision is made on the basis of multi criteria.…”

Section: Decision Makingmentioning

confidence: 99%

Modelling and optimizing performance parameters in the wire-electro discharge machining of Al5083/B4C composite by multi-objective response surface methodology

Singh

Hussain

Dash

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Composite is an artificial multiphase material that constituent phases which are chemically dissimilar and separated by a distinct interface. As a result of such anisotropic and non-homogeneous formation machining of composites is a strenuous task. Therefore, the need arose for formulating a stable predictive model. The comprehensive intention of this study is to develop a highly robust and stable predictive soft-computing model for forecasting the machining performance of Al-5083 alloy reinforced with B 4 C particles (Al5083/B 4 C). The study mostly emphasize on selecting the best machining parameters among the conducted experiments and evaluating the optimal machining parameters for Al5083/B 4 C composite in wireelectro discharge machin. The paper is an integration of equally weighted experimental as well as computational study. In the experimental part of the study, 5 different specimen of Al5083/B 4 C is prepared by the ex situ technique through stir casting process. The experimental part includes design of experiment by Taguchi's method. The computational part of the study comprised of three different stages. The first stage involves the mathematical modelling of the performance measures and statistical scrutiny of the models. In the second stage, the best machining parameters are selected based on the fuzzy IFthen rules. The final stage of the manuscript is the trade-off analysis conducted to obtain the optimal machining parameters. In order to test the robustness of the formulated model an experimental validation is carried out at the optimal machining combination. The error calculated from the comparison is within the range of 2-5% which justifies the objective of the study.

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“…The ordered weighted averaging (OWA) operator introduced by Yager [32] is one of the well-known aggregation operators. Many different aggregation techniques have been applied in many different fuzzy environments, such as intuitionistic [33][34][35], Pythagorean [36][37][38], neutrosophic [39][40][41], interval-valued intuitionistic [42][43][44][45], and hesitant fuzzy environments [46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Complex Fuzzy Geometric Aggregation Operators

Dai

2018

Symmetry

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A complex fuzzy set is an extension of the traditional fuzzy set, where traditional [0,1]-valued membership grade is extended to the complex unit disk. The aggregation operator plays an important role in many fields, and this paper presents several complex fuzzy geometric aggregation operators. We show that these operators possess the properties of rotational invariance and reflectional invariance. These operators are also closed on the upper-right quadrant of the complex unit disk. Based on the relationship between Pythagorean membership grades and complex numbers, these operators can be applied to the Pythagorean fuzzy environment.

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Decision Maker Priority Index and Degree of Vagueness Coupled Decision Making Method: A Synergistic Approach

Cited by 23 publications

References 50 publications

Selection of best process parameters for friction stir welded dissimilar Al-Cu alloy: a novel MCDM amalgamated MORSM approach

Selection of best process parameters for friction stir welded dissimilar Al-Cu alloy: a novel MCDM amalgamated MORSM approach

Modelling and optimizing performance parameters in the wire-electro discharge machining of Al5083/B4C composite by multi-objective response surface methodology

Complex Fuzzy Geometric Aggregation Operators

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