Decision Analysis on Choquet Integral-Based Multi-Criteria Decision-Making with Imprecise Information

2018 ◽  
Vol 17 (02) ◽  
pp. 677-704 ◽  
Author(s):  
Meimei Xia ◽  
Jian Chen ◽  
Xiao-Jun Zeng
Keyword(s):  
Decision Making ◽  
Decision Analysis ◽  
Choquet Integral ◽  
Real Life ◽  
Multi Criteria Decision Making ◽  
Precise Information ◽  
Imprecise Information ◽  
Decision Making Problem ◽  
Criteria Weights ◽  
Negative Interactions

The uncertain multi-criteria decision-making problem is investigated, where the information about criteria weights and criteria evaluations is imprecise and there exist interactions between criteria. In real-life multi-criteria decision-making problems, there often exist positive or negative interactions between criteria, and it is also difficult to obtain the precise information about criteria weights and criteria evaluations. However, most of the existing multi-criteria decision-making methods only focus on one of these two issues, which often co-exist in practice. To address such a gap in the existing research, Choquet integral is firstly employed to aggregate the imprecise information of alternatives to reflect the interactions between criteria. Based on the regret values between pairs of alternatives with imprecise information, four types of best alternative concepts are defined from the perspectives of optimism and pessimism, respectively, and four corresponding optimal models are established to identify such best alternatives. By comparing the proposed methods with the existing ones, it is showed that the proposed methods not only give a complete decision analysis, but also have better distinguishability by considering the interactions between criteria. These methods are then extended to identify the worst alternatives.

Multi-Criteria Decision Making

2019 ◽  
pp. 155-184
Author(s):  
Tolga Temucin
Keyword(s):  
Decision Making ◽  
Real Life ◽  
Multiple Criteria ◽  
Decision Problems ◽  
Multi Criteria Decision Making ◽  
Military Operations ◽  
Military Organizations ◽  
Decision Making Problem ◽  
The Military ◽  
Life Decision

Multi-criteria decision making (MCDM) is a discipline that explicitly considers assessing alternatives in a decision problem with respect to multiple criteria. Those methods are frequently used to solve real-life decision problems that incorporate multiple, conflicting, and incommensurate criteria. Considering the chaotic, complex, and ambiguous nature and the dynamics of the military operations, most decision problems observed in military organizations also follow a similar structure involving multiple criteria. This chapter gives an overview of the basic decision-making problem types and decision processes observed in military organizations and provides information on the MCDM methodologies adopted to solve those problems.

Multi-Criteria Decision Making

2021 ◽  
pp. 469-497
Author(s):  
Tolga Temucin
Keyword(s):  
Decision Making ◽  
Real Life ◽  
Multiple Criteria ◽  
Decision Problems ◽  
Multi Criteria Decision Making ◽  
Military Operations ◽  
Military Organizations ◽  
Decision Making Problem ◽  
The Military ◽  
Life Decision

Multi-criteria decision making (MCDM) is a discipline that explicitly considers assessing alternatives in a decision problem with respect to multiple criteria. Those methods are frequently used to solve real-life decision problems that incorporate multiple, conflicting, and incommensurate criteria. Considering the chaotic, complex, and ambiguous nature and the dynamics of the military operations, most decision problems observed in military organizations also follow a similar structure involving multiple criteria. This chapter gives an overview of the basic decision-making problem types and decision processes observed in military organizations and provides information on the MCDM methodologies adopted to solve those problems.

scholarly journals Samsun İlinde Kurulabilecek Kompost Tesislerinin COCOSO ve WASPAS Yöntemiyle Optimallik Sıralaması

2022 ◽  
Vol 9 (sp) ◽  
pp. 2515-2522
Author(s):  
Sinan Dündar ◽  
Hüdaverdi Bircan ◽  
Hasan Eleroğlu
Keyword(s):  
Decision Making ◽  
Soil Structure ◽  
Plant Location ◽  
Multi Criteria Decision Making ◽  
Cluster Number ◽  
The Third ◽  
Decision Making Problem ◽  
Criteria Weights ◽  
Compost Plant ◽  
Optimal Ranking

The compost product, which offers many benefits such as the evaluation of organic wastes, improvement of soil structure, neutralization of toxins and pH balance of the soil, has significant potential for the improvement of our country's lands. Considering the development of animal existence in our country, the production of compost product to be obtained from feces, which is the product of these animal beings, is an issue that needs to be emphasized. The choice of plant location, which must be determined for an investment to be made for the acquisition of this product emerges as a separate problem. For this reason, in this study, the order of optimality among the alternatives for compost plant installation is considered as a multi-criteria decision making problem. For this purpose, the criteria determined for 10 clusters with the potential of 35,829 animals that can produce compost in Samsun were weighted by the SWARA method. The optimal ranking of these 10 compost clusters was carried out using the COCOSO and WASPAS methods, by means of the criteria weights taken into consideration. According to the ranking results obtained from both methods, it was determined that the cluster number 27 was in the first rank, the cluster no 13 was in the second rank, and the cluster no 14 was in the third rank.

scholarly journals Multi-criteria decision making based on induced generalized interval neutrosophic Choquet integral

PLoS ONE ◽  
2020 ◽  
Vol 15 (12) ◽  
pp. e0242449
Author(s):  
Yangyang Jiao ◽  
Lu Wang ◽  
Jianxia Liu ◽  
Gang Ma
Keyword(s):  
Decision Making ◽  
Choquet Integral ◽  
Investment Decision ◽  
Aggregation Operators ◽  
Optimal Decision ◽  
Multi Criteria Decision Making ◽  
Investment Decision Making ◽  
Decision Making Problem ◽  
Geometric Operator ◽  
Integral Average

In this paper, two new aggregation operators based on Choquet integral, namely the induced generalized interval neutrosophic Choquet integral average operator(IGINCIA) and the induced generalized interval neutrosophic Choquet integral geometric operator(IG-INCIG), are proposed for multi-criteria decision making problems (MCDM). Firstly, the criteria are dependent to each other and the evaluation information of the criteria are expressed by interval neutrosophic numbers. Moreover, two indices which are inspired by the geometrical structure are established to compare the interval neutrosophic numbers. Then, a MCDM method is proposed based on the proposed aggregation operators and ranking indices to cope with MCDM with interactive criteria. Lastly, an investment decision making problem is provided to illustrate the practicality and effectiveness of the proposed approach. The validity and advantages of the proposed method are analyzed by comparing with some existing approaches. By a numerical example in company investment to expand business though five alternatives with considering four criteria, the optimal decision is made.

Hybrid Multi-Criteria Decision-Making Optimization Strategy for RP Material Selection

2019 ◽  
pp. 320-334
Author(s):  
Jagadish ◽  
Sumit Bhowmik ◽  
Suresh Gudala
Keyword(s):  
Decision Making ◽  
Computer Aided Design ◽  
Material Selection ◽  
Selection Process ◽  
Real Life ◽  
Multi Criteria Decision Making ◽  
Optimization Strategy ◽  
Rp Process ◽  
Criteria Weights ◽  
Optimal Material

Rapid prototyping (RP) is an advanced manufacturing technique that uses a computer-aided design data for designing a prototype. To design a part, the RP uses many kinds of materials that best suit the application. Due to the existence of a large number of RP materials that make the selection process quite challenging and considered to be a multi-criteria decision-making (MCDM) optimization problem. The chapter proposed a hybrid MCDM optimization strategy for optimal material selection of the RP process. The hybrid strategy consists of modified DEMATEL with TOPSIS where the extraction of criteria weights using modified DEMATEL strategy while ranking of RP alternatives considering the effect of beneficial and non-beneficial using TOPSIS strategy. A real-life case study on RP material selection is demonstrated to validate the proposed strategy.

Multi-Criteria Decision Making

2021 ◽  
pp. 48-76
Author(s):  
Tolga Temucin
Keyword(s):  
Decision Making ◽  
Real Life ◽  
Multiple Criteria ◽  
Decision Problems ◽  
Multi Criteria Decision Making ◽  
Military Operations ◽  
Military Organizations ◽  
Decision Making Problem ◽  
The Military ◽  
Life Decision

Multi-criteria decision making (MCDM) is a discipline that explicitly considers assessing alternatives in a decision problem with respect to multiple criteria. Those methods are frequently used to solve real-life decision problems that incorporate multiple, conflicting, and incommensurate criteria. Considering the chaotic, complex, and ambiguous nature and the dynamics of the military operations, most decision problems observed in military organizations also follow a similar structure involving multiple criteria. This chapter gives an overview of the basic decision-making problem types and decision processes observed in military organizations and provides information on the MCDM methodologies adopted to solve those problems.

scholarly journals Coupling Fuzzy Multi-Criteria Decision-Making and Clustering Algorithm for MSW Landfill Site Selection (Case Study: Lanzhou, China)

2021 ◽  
Vol 10 (6) ◽  
pp. 403
Author(s):  
Jiamin Liu ◽  
Yueshi Li ◽  
Bin Xiao ◽  
Jizong Jiao
Keyword(s):  
Decision Making ◽  
Clustering Algorithm ◽  
Fuzzy Membership Function ◽  
Multi Criteria Decision Making ◽  
Landfill Site Selection ◽  
Spatial Distribution Characteristics ◽  
Criteria Weights ◽  
Spatial Decision Making ◽  
Complex Decision

The siting of Municipal Solid Waste (MSW) landfills is a complex decision process. Existing siting methods utilize expert scores to determine criteria weights, however, they ignore the uncertainty of data and criterion weights and the efficacy of results. In this study, a coupled fuzzy Multi-Criteria Decision-Making (MCDM) approach was employed to site landfills in Lanzhou, a semi-arid valley basin city in China, to enhance the spatial decision-making process. Primarily, 21 criteria were identified in five groups through the Delphi method at 30 m resolution, then criteria weights were obtained by DEMATEL and ANP, and the optimal fuzzy membership function was determined for each evaluation criterion. Combined with GIS spatial analysis and the clustering algorithm, candidate sites that satisfied the landfill conditions were identified, and the spatial distribution characteristics were analyzed. These sites were subsequently ranked utilizing the MOORA, WASPAS, COPRAS, and TOPSIS methods to verify the reliability of the results by conducting sensitivity analysis. This study is different from the previous research that applied the MCDM approach in that fuzzy MCDM for weighting criteria is more reliable compared to the other common methods.

scholarly journals State-of-the-Art Prescriptive Criteria Weight Elicitation

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Mona Riabacke ◽  
Mats Danielson ◽  
Love Ekenberg
Keyword(s):  
Decision Making ◽  
Decision Support ◽  
Decision Theory ◽  
Decision Analysis ◽  
Analytical Methods ◽  
State Of The Art ◽  
Criteria Weights ◽  
Decision Making Processes ◽  
Method Of Assessment ◽  
Descriptive Theories

Comparatively few of the vast amounts of decision analytical methods suggested have been widely spread in actual practice. Some approaches have nevertheless been more successful in this respect than others. Quantitative decision making has moved from the study of decision theory founded on a single criterion towards decision support for more realistic decision-making situations with multiple, often conflicting, criteria. Furthermore, the identified gap between normative and descriptive theories seems to suggest a shift to more prescriptive approaches. However, when decision analysis applications are used to aid prescriptive decision-making processes, additional demands are put on these applications to adapt to the users and the context. In particular, the issue of weight elicitation is crucial. There are several techniques for deriving criteria weights from preference statements. This is a cognitively demanding task, subject to different biases, and the elicited values can be heavily dependent on the method of assessment. There have been a number of methods suggested for assessing criteria weights, but these methods have properties which impact their applicability in practice. This paper provides a survey of state-of-the-art weight elicitation methods in a prescriptive setting.

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