scholarly journals A CRITERION UTILITY CONVERSION TECHNIQUE FOR PROBABILISTIC LINGUISTIC MULTIPLE CRITERIA ANALYSIS IN EMERGENCY MANAGEMENT

2021 ◽  
Vol 0 (0) ◽  
pp. 1-20
Author(s):  
Rui Qin ◽  
Huchang Liao ◽  
Lisheng Jiang
Keyword(s):  
Linear Programming ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Multidimensional Analysis ◽  
Conversion Process ◽  
Programming Technique ◽  
Probabilistic Linguistic Term Set ◽  
Emergency Logistics ◽  
Trade Offs ◽  
Set Up

In multiple criteria decision making (MCDM), the even swaps method uses the relationships of criteria to make trade-offs but the burdens of experts are heavy; the linear programming technique for multidimensional analysis of preference (LINMAP) method cannot deal with the inter-dependencies among criteria but the cognitive burdens of experts are low. Taking the advantages of both these methods, this study proposes a criterion utility conversion (CUC) technique to solve probabilistic linguistic MCDM problems given that the probabilistic linguistic term set (PLTS) can reflect the psychology of experts when making evaluations. The utility conversion process is first proposed based on the marginal utilities of criteria. Then, the criterion preference ratios of experts are refined from the utility conversion process. Based on the criterion preference ratios and the operations of PLTSs, the adjusted probabilistic linguistic expected values of alternatives are calculated. The consistency and inconsistency indexes of alternatives and criteria are defined to set up the linear programming used to work out the criterion preference ratios. An illustration about the selection of emergency logistics supplier is given to validate the proposed method. The comparative analysis indicates the low cognitive burden, high stability, and strong applicability of the proposed method.

The Inclusion-Based LINMAP Method for Multiple Criteria Decision Analysis Within an Interval-Valued Atanassov's Intuitionistic Fuzzy Environment

2014 ◽  
Vol 13 (06) ◽  
pp. 1325-1360 ◽  
Author(s):  
Ting-Yu Chen
Keyword(s):  
Linear Programming ◽  
Decision Analysis ◽  
Multiple Criteria ◽  
Multidimensional Analysis ◽  
Multiple Criteria Decision Analysis ◽  
Programming Technique ◽  
Intuitionistic Fuzzy ◽  
Optimal Criterion ◽  
Linear Programming Technique ◽  
Interval Valued

The purpose of this paper is to develop an inclusion-based LINMAP (i.e., Linear Programming Technique for Multidimensional Analysis of Preference) method for multiple criteria decision analysis that is based on interval-valued Atanassov's intuitionistic fuzzy sets. Using the inclusion comparison possibility in the interval-valued Atanassov's intuitionistic fuzzy context, an inclusion-based index of interval-valued Atanassov's intuitionistic fuzzy numbers is proposed that considers positive and negative ideals. An inclusion-based consistency index and an inclusion-based inconsistency index to measure the concordance and discordance, respectively, between paired comparison judgments are suggested. An inclusion-based LINMAP model is constructed using a linear programming technique to determine the optimal criterion weights and obtain the corresponding comprehensive inclusion-based index for each alternative. Then, the priority order of the alternatives can be acquired according to the comprehensive inclusion-based indices. The feasibility of the proposed method is illustrated using a practical problem that relates to the selection of bridge construction methods. A comparative analysis of other relevant decision-making methods is conducted to validate the effectiveness of the developed methodology.

scholarly journals A  linear programming technique to solve fuzzy multiple criteria decision making problems with an application

2020 ◽  
Author(s):  
S.A. Sadabadi ◽  
A. Hadi-Vencheh ◽  
A. Jamshidi ◽  
M. Jalali
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Linear Models ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Radius Of Gyration ◽  
Programming Technique ◽  
Weighting Method ◽  
Practical Applications ◽  
Simple Additive Weighting

Generally, in real world multiple criteria decision making (MCDM) problems, we concern with inaccurate data. This paper transforms a fuzzy multiple criteria decision making (FMCDM) problem into three linear programming models based on simple additive weighting method (SAW). The new linear models calculate fuzzy performance scores for each alternative. To rank the alternatives, the numerical value of the area between the Radius of Gyration (ROG) and original points of the given fuzzy numbers is used. Finally, we illustrate the practical applications of the proposed method in selection an industrial zone for construct dairy products factory.

scholarly journals AN IDIOSYNCRATIC DECISION SUPPORT SYSTEM FOR CREDIT RISK ANALYSIS OF SMALL AND MEDIUM-SIZED ENTERPRISES

2015 ◽  
Vol 22 (4) ◽  
pp. 598-616 ◽  
Author(s):  
Tânia S. H. GONÇALVES ◽  
Fernando A. F. FERREIRA ◽  
Marjan S. JALALI ◽  
Ieva MEIDUTĖ-KAVALIAUSKIENĖ
Keyword(s):  
Decision Support ◽  
Decision Support System ◽  
Credit Risk ◽  
Support System ◽  
Cognitive Mapping ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Trade Offs ◽  
Credit Risk Analysis ◽  
Mapping Techniques

Small and medium-sized enterprises (SMEs) are currently considered an important driving force of economic growth. Several studies have been developed to analyse this issue and, in particular, to assess the credit risk of SMEs. Most of these applications, however, share the same methodological limitations, such as the manner by which criteria are selected, or the methods used for calculating the weights between them. Based on the integrated use of cognitive mapping techniques and the Interactive Multiple Criteria Decision Making (TODIM) approach, this study aims to create an idiosyncratic decision support system for the identification of multiple criteria and the calculation of their respective weights (i.e. the trade-offs) in the evaluation of SME credit risk. The results show that the model created in this study allows for simple and straightforward credit concession decisions, facilitating the evaluation of SME credit applications through more informed and transparent risk assessments. Practical implications, strengths and weaknesses of the proposed framework are analysed and discussed.

scholarly journals Fuzzy Integral Multiple Criteria Decision Making Method Based on Fuzzy Preference Relation on Alternatives

2016 ◽  
Vol 4 (3) ◽  
pp. 280-290 ◽  
Author(s):  
Qiaojiao Zhao ◽  
Ling Zeng ◽  
Jinjin Liu
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Programming Model ◽  
Preference Relation ◽  
Multiple Criteria Decision Making ◽  
Fuzzy Relation ◽  
Multiple Criteria ◽  
Fuzzy Integral ◽  
Fuzzy Preference Relation ◽  
Preference Information

AbstractA new method is proposed to solve the multiple criteria decision making with interacting criteria, where the preference information on alternatives in a fuzzy relation given by the decision maker. On the basis of the decision maker’s preference information, two types of models — the least squares model, the linear programming model — are constructed to determine the capacities and then to select the most desirable alternative. Finally, a numerical example is used to illustrate the validity and practicality of the proposed method.

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