Determining attribute weights to improve solution reliability and its application to selecting leading industries

Fu, Chao; Xu, Dong-Ling

doi:10.1007/s10479-014-1657-8

Cited by 40 publications

(21 citation statements)

References 49 publications

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“…are set to balance the contribution of p i (a lm ) to the overall comparison between alternatives a l and a m . The weights can be determined by subjective judgments of a decision maker or can be determined based on the performances of the alternatives (Chin et al, 2015;Fu and Chin, 2014;Fu and Xu, 2016). Then, the weighted P(e i (a lm )) can be combined to generate the overall preferred degree of alternative a l over a m , denoted by p(a lm ).…”

Section: Modeling and Analysis Of Mada Problems With Fprsmentioning

confidence: 99%

Triangular bounded consistency of fuzzy preference relations

Chang

et al. 2019

Information Sciences

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There are typically two types of consistency of fuzzy preference relations (FPR), namely additive and multiplicative consistency. They are defined based on the assumption that decision makers are rational and can provide strictly consistent FPRs. To take into consideration the bounded rationality of decision makers, the current study relaxes this assumption and proposes a new measure called triangular bounded consistency. To define triangular bounded consistency, a directed triangle is used to represent three FPRs among any three alternatives, with each directed edge representing an FPR. The condition of restricted max-max transitivity (RMMT) in the directed triangle is quantitatively examined. Under the assumption that the bounded rationality of a decision maker is characterized by their historical FPRs, which are represented by directed triangles that satisfy RMMT, triangular bounded consistency is determined using the historical FPRs. We then illustrate how triangular bounded consistency can be used to verify the consistency of FPRs that are newly provided by decision makers and how to estimate some missing FPRs that are not provided by decision makers. Finally, to demonstrate the application of triangular bounded consistency of FPRs in multi-attribute decision analysis, we investigate a problem that involves selecting areas to market products for a company.

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Section: Modeling and Analysis Of Mada Problems With Fprsmentioning

confidence: 99%

Triangular bounded consistency of fuzzy preference relations

Chang

et al. 2019

Information Sciences

Self Cite

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“…In decision making problems, usually there are several criteria for evaluating options, for example, courses of action, candidates and the like. There are two main kernels in a multicriteria decision making theory, namely determination method of weights to different criteria and aggregation method with these weights . Up to present, a large quantity of research has been developed to the two kernels including a predominant method called the OWA operator.…”

Section: Introductionmentioning

confidence: 99%

“…There are two main kernels in a multicriteria decision making theory, namely determination method of weights to different criteria and aggregation method with these weights. [2][3][4][5] Up to present, a large quantity of research has been developed to the two kernels including a predominant method called the OWA operator.…”

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confidence: 99%

Rank‐based analysis method to determine OWA weights and its application in group decision making

Gong

2019

Int J Intell Syst

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To determine the weights of the ordered weighted averaging (OWA) operator, a new approach that is termed as rank‐based analysis method with subjective information is developed. Available information called importance ratio that is obtained by subjective judgment of expert(s) is used in the OWA weights determination. The proposed approach is further extended to the situation of group decision making and is also used to obtain the weights of experts in this situation. In this case, the final OWA weights are obtained through a complete consistent group judgment matrix. Finally, a numerical example regarding the selection of the optimal R&D personnel is given to illustrate the application of the new method in group decision making.

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“…subjective methods (6,7) , objective methods (9,13,14) and hybrid methods (15)(16)(17)(18) , according to the extent of dependence on the preferences or subjective judgements of Decision Makers (DMs) (8) . In practical applications, some ideal weights are usually hard to be obtained by the subjective or hybrid methods when there is a lack of related field experts or no unanimous conclusion reached by DMs (19,20) . Fortunately, the objective weight methods can effectively solve the above problem, because attribute weights are generated by using data rather than the DMs' reference.…”

Section: Introductionmentioning

confidence: 99%

Effectiveness evaluation of fighter using fuzzy Bayes risk weighting method

Suo

Chen

et al. 2018

Aeronaut. j.

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Multiple Attribute Decision Analysis (MADA), known to be simple and convenient, is one of the most commonly used methods for Effectiveness Evaluation of Fighter (EEF), in which the attribute weight assignment plays a key role. Generally, there are two parts in the index system of MADA, i.e. performance index and decision index (or label), which denote the specific performance and the category of the object, respectively. In some index systems of EEF, the labels can be easily obtained, which are presented as the generations of fighters. However, the existing methods of attribute weight determination usually ignore or do not take full advantage of the supervisory function of labels. To make up for this deficiency, this paper develops an objective method based on fuzzy Bayes risk. In this method, a loss function model based on Gaussian kernel function is proposed to cope with the drawback that the loss function in Bayes risk is usually determined by experts. In order to evaluate the credibility of assigned weights, a longitudinal deviation and transverse residual correlation coefficient model is designed. Finally, a number of experiments, including the comparison experiments on University of California Irvine (UCI) data and EEF, are carried out to illustrate the superiority and applicability of the proposed method.

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Determining attribute weights to improve solution reliability and its application to selecting leading industries

Cited by 40 publications

References 49 publications

Triangular bounded consistency of fuzzy preference relations

Triangular bounded consistency of fuzzy preference relations

Rank‐based analysis method to determine OWA weights and its application in group decision making

Effectiveness evaluation of fighter using fuzzy Bayes risk weighting method

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