Tri-level multi-attribute group decision making based on regret theory in multi-granular linguistic contexts

Wang, Zelin; Wang, Ying‐Ming; Wang, Liang

doi:10.3233/jifs-171309

Cited by 8 publications

(8 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(2) The regret avoidance of the DMer is taken into account to simulate the real DM environment and further ensure the best alternative is the most preferred one of the experts. (3) The fuzzy measure determining model of the proposed method is simpler and clearer, the obtained fuzzy measures can meet the requirement of the experts.Comparing with Wang et al. 's (2018) method: Since there are too many differences between two kinds of DM environment to make a detailed comparison, we substitute Wang et al.…”

Section: Analysesmentioning

confidence: 99%

“…(3) The fuzzy measure determining model of the proposed method is simpler and clearer, the obtained fuzzy measures can meet the requirement of the experts.Comparing with Wang et al. 's (2018) method: Since there are too many differences between two kinds of DM environment to make a detailed comparison, we substitute Wang et al. 's (2018) regret function into our proposed method to focus on the influence to the DM result given by different regret functions.…”

Section: Analysesmentioning

confidence: 99%

See 1 more Smart Citation

A multi-criterion group decision-making method based on regret theory under 2-tuple linguistic environment

Jia

Wang

2021

View full text Add to dashboard Cite

PurposeThe purpose of this paper is to develop a multi-criterion group decision-making (MCGDM) method by combining the regret theory and the Choquet integral under 2-tuple linguistic environment and apply the proposed method to deal with the supplier selection problem.Design/methodology/approachWhen making a decision, the decision-maker is more willing to choose the alternative(s) which is preferred by the experts so as to avoid the regret. At the same time, the correlative relationships among the criterion set can be sufficiently described by the fuzzy measures, later the evaluations of a group of criteria can be aggregated by means of the Choquet integral. Hence, the authors cope with the MCGDM problems by combining the regret theory and the Choquet integral, where the fuzzy measures of criteria are partly known or completely unknown and the evaluations are expressed by 2-tuples. The vertical and the horizontal regret-rejoice functions are defined at first. Then, a model aiming to determine the missing fuzzy measures is constructed. Based on which, an MCGDM method is proposed. The proposed method is applied to tackle a practical decision-making problem to verify its feasibility and the effectiveness.FindingsThe vertical and the horizontal regret-rejoice functions are defined. The relationships of the fuzzy measures are expressed by the sets. A model is built for determining the fuzzy measures. Based on which, an MCGDM method is proposed. The results show that the proposed method can solve the MCGDM problems within the context of 2-tuple, where the decision-maker avoids the regret and the criteria are correlative.Originality/valueThe paper proposes an MCGDM method by combining the regret theory and the Choquet integral, which is suitable for dealing with a variety of decision-making problems.

show abstract

Section: Analysesmentioning

confidence: 99%

Section: Analysesmentioning

confidence: 99%

A multi-criterion group decision-making method based on regret theory under 2-tuple linguistic environment

Jia

Wang

2021

View full text Add to dashboard Cite

show abstract

“…Obviously, when δ = 1, Formula (21) is changed into Formula (18). Conversely, when δ = 0, Formula (21) is changed into Formula (19).…”

Section: ) Aggregation Of Binary Utility Valuesmentioning

confidence: 99%

“…Wang et al [16] and Tian et al [17] utilized cumulative prospect theory to solve the design and selection of product concepts, travel modes, and other kinds of MADM problems. Wang et al [18], Hang et al [19], and Zhang et al [20], [21] utilized regret theory to construct a tri-level MADM method, multiple attribute case decision-making method, and risktype MADM method, respectively.…”

Section: Introductionmentioning

confidence: 99%

A Method of Multi-Attribute Decision Making With Double-Reference Points and its Application in Location of Agricultural Products Logistics Center

2019

View full text Add to dashboard Cite

A single reference point (SRP) is typically employed in traditional studies on the multi-attribute decision making (MADM) method. However, SRP lacks the advantage of the multiplicity of reference points and is thus unable to adequately describe loss aversion actions. With the goal of determining the loss aversion characteristics of decision makers, this work proposes an MADM method that is based on double reference points (DRPs) to solve the MADM problem using crisp and interval fuzzy numbers. First, this work describes the universality of decision-making problems with DRPs and then evaluates the characteristics of DRPs and their effects on decision making. Second, attitude and utility functions are established on the basis of the requirements of loss aversion. Third, considering the ''one-vote veto'' characteristic of a ''dissatisfaction'' attitude, a binary utility value is created by integrating the occurrence probability p, and the utility value u. The fourth, the main characteristics of and the aggregation method for the binary utility value are analyzed and established. Finally, a new decision-making method is applied to resolve the location decision of an agricultural product logistics center. Results indicate that the relationship between attribute and reference point significantly influences decision behavior. Compared with the traditional decision-making method, the proposed decision-making method can effectively identify the feasibility levels of alternatives. The ranking of the proposed decision-making method for feasible alternatives is basically the same as that of the traditional decision-making method. These results can effectively help solve agricultural engineering problems and broaden the coverage of and provide references for MADM research. INDEX TERMS Double reference points (DRPs), loss aversion, multi-attribute decision-making (MADM), utility, agricultural product logistic center.

show abstract

“…To deal with this situation, the regret theory was proposed by Loomes et al and Bell, which is a behavioral decision theory for capturing the regret aversion of decision makers. The regret theory has been widely used to solve various MCDM problems . Therefore, to combine the advantages of the two MCDM methods, it is promising to integrate regret theory and TODIM method to better determine the risk priorities of failure modes in FMEA.…”

Section: Introductionmentioning

confidence: 99%

A linguistic risk prioritization approach for failure mode and effects analysis: A case study of medical product development

Wang

Liu

et al. 2019

Quality & Reliability Eng

Self Cite

View full text Add to dashboard Cite

Failure mode and effects analysis (FMEA) is a widely used risk management technique for identifying the potential failures from a system, design, or process and determining the most serious ones for risk reduction. Nonetheless, the traditional FMEA method has been criticized for having many deficiencies.Further, in the real world, FMEA team members are usually bounded rationality, and thus, their psychological behaviors should be considered. In response, this study presents a novel risk priority model for FMEA by using interval twotuple linguistic variables and an integrated multicriteria decision-making (MCDM) method. The interval two-tuple linguistic variables are used to capture FMEA team members' diverse assessments on the risk of failure modes and the weights of risk factors. An integrated MCDM method based on regret theory and TODIM (an acronym in Portuguese for interactive MCDM) is developed to prioritize failure modes taking experts' psychological behaviors into account. Finally, an illustrative example regarding medical product development is included to verify the feasibility and effectiveness of the proposed FMEA. By comparing with other existing methods, the proposed linguistic FMEA approach is shown to be more advantageous in ranking failure modes under the uncertain and complex environment.KEYWORDS failure mode and effects analysis (FMEA), interval two-tuple, medical product development, regret theory, TODIM method

show abstract

Tri-level multi-attribute group decision making based on regret theory in multi-granular linguistic contexts

Cited by 8 publications

References 27 publications

A multi-criterion group decision-making method based on regret theory under 2-tuple linguistic environment

A multi-criterion group decision-making method based on regret theory under 2-tuple linguistic environment

A Method of Multi-Attribute Decision Making With Double-Reference Points and its Application in Location of Agricultural Products Logistics Center

A linguistic risk prioritization approach for failure mode and effects analysis: A case study of medical product development

Contact Info

Product

Resources

About