Extension of MULTIMOORA method with interval numbers: An application in materials selection

Hafezalkotob, Arian; Hafezalkotob, Ashkan; Sayadi, Mohammad Kazem

doi:10.1016/j.apm.2015.07.019

Cited by 87 publications

(40 citation statements)

References 28 publications

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“…In their method, an interval programming problem is solved which its objective function minimizes the total costs (control cost and no-control cost). Hafezalkotob et al [40] developed interval Multiplicative Multi-Objective Optimization based on Ratio Analysis (MULTIMOORA) method. In their study, the decision matrices are normalized and weighted.…”

Section: Introductionmentioning

confidence: 99%

“…More especially they consider the MCDM problems with ranked criteria. A solving method based on digraphs and fuzzy measures was proposed by them.Although in uncertain MCDM problems, focusing on interval numbers has been less than fuzzy numbers, but useful researches have been done in this case [35][36][37][38][39][40][41][42][43]. In a presented paper by Yue [35], the TOPSIS method was developed to solve interval GMCDM problems.…”

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confidence: 99%

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Weight determination and ranking priority in interval group MCDM

2019

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In this study, we propose a method to determine the weight of decision makers (DMs) in group multiple criteria decision making (GMCDM) problems with interval data . Here, we obtain an interval weight for each DM and then the relative closeness of each decision from the negative ideal solution (NIS) and the positive ideal solution (PIS) is then computed. In the proposed method, after weighting the decision matrix of each DM, the alternatives are ranked using interval arithmetic. A comparative example along with a real world problem on air quality assessment is given to illustrate our method. Technique (SMART) method [12] which asks for direct ratings on a scale from 0 to 100 and the Measuring Attractiveness by a Categorical Based Evaluation Technique (MACBETH) method [13] which requires pairwise comparisons on an interval. The other method is ELimination Et Choix Traduisant la REalité (ELECTRE) which has different types. It is worthy to mention that the study of Govindan and Jespen [14] is a comprehensive source of ELECTRE and ELECTRE-based methods. Their study considers different types of ELECTRE methods and compares, modifies and defines the area of applications of each method. Recently, Ishizaka and Siraj [15] evaluated AHP, SMART and MAGBETH for a real MCDM problem. The authors investigate whether these three methods really help the DMs or not. The assessment of public transport satisfaction investigated by Nassereddine and Eskandari [16]. For this purpose, the authors employ an integrated MCDM technique. Their method is a combination of Delphi, group AHP (GAHP) and Preference Ranking Organization METHod for Enrichment of Evaluations (PROMETHEE). A method based on TOPSIS and entropy proposed by Abdollahi et al. [17] to rank multifarious Demand Response Resources (DRRs). To be noted that the MCDM models are widely used in systems engineering [18-22].Frankly speaking, most of the above mentioned methods include one DM while real life problems have different managerial, engineering, social and etc. aspects and they usually deal with a group of DMs. Papers such as [23-29] have presented methods to solve GMCDM problems. These methods have considered the cases that data are exact and have crisp values. But, in most real world problems the decision information are expressed as interval or fuzzy numbers [30]. Nowadays, the Fuzzy MCDM (FMCDM) problems play an important role in industrial and system engineering. An extension of fuzzy VIKOR to solve Supplier Selection Problem (SSP) was presented by Mahmoudi et al. [31]. In their method a fuzzy distance measure is proposed to rank the suppliers. Besides, they consider unequal weights for DMs and the performance of each supplier under each criteria is represented by a linguistic variable. Finally the alternatives are ranked using preference ration method. An MCDM problem with stochastic and intuitionistic data was proposed by Hu et al. [32]. The problem of dam site selection was considered as a Group FMCDM (GFMCDM) by Minatour et al. [33]. To solve the problem an integrati...

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

Weight determination and ranking priority in interval group MCDM

2019

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“…Hafezalkotob (2015b, 2016a) extended the MULTIMOORA approach based on Shannon's entropy with crisp and fuzzy data in a material selection problem. Hafezalkotob et al (2016) integrated the MULTIMOORA approach with interval numbers in an application for a material selection problem. Sahu et al (2016) modified the MULTIMOORA approach considering generalized intervalvalued trapezoidal fuzzy numbers ordered weighted geometric average in order to evaluate CNC machine tools.…”

Section: Literature Reviewmentioning

confidence: 99%

Ranking and selecting the best performance appraisal method using the MULTIMOORA approach integrated Shannon’s entropy

Maghsoodi

Abouhamzeh

Khalilzadeh

et al. 2018

Front. Bus. Res. China

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The selection process of appropriate Performance Appraisal (PA) methods for organizations in today's dynamic and agile environments along with its funding scales is a complex problem. Performance appraisal in modern organizations has become a part of the strategic approach toward integrating business policies and human resource activities. The existence of multiple criteria in the decision-making procedure makes finding the optimal PA method more challenging. The current study tackles a PA method assessment by applying a multiple criteria decision analysis method i.e., MULTIMOORA integrated Shannon's entropy significance coefficient. A case study on the optimal PA method selection is analyzed by identifying the criteria and alternatives based on the literature and expert comments of the case-study employing two approaches, that is, MULTIMOORA and Entropy MULTIMOORA. The final rankings of the suggested methods are compared to TOPSIS and TOPSIS integrated Shannon's entropy methods utilizing correlation coefficients of the final ranks. Eventually, by identifying the optimal PA approach i.e., 360-degree feedback, the selected optimal method employed in the case study and results are demonstrated and described with a comprehensive example.

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“…Besides, the MUL-62 TIMOORA can facilitate a decision making process and pro-63 vide effective rankings [13]- [15]. Recently, it has been applied 64 in a number of fields for various purposes [13], [15]- [17]. 65 However, its use within the EVCS site selection framework 66 was not accomplished before.…”

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confidence: 99%

“…59 It is more comprehensive than other MCDM methods since it 60 consists of three different parts, i.e., the ratio system, the refer-61 ence point and the full multiplicative form. Besides, the MUL-62 TIMOORA can facilitate a decision making process and pro-63 vide effective rankings [13]- [15]. Recently, it has been applied 64 in a number of fields for various purposes [13], [15]- [17].…”

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confidence: 99%