Diversion System Scenarios Optimization Considering Indicators Correlation

2014 ◽  
Vol 1065-1069 ◽  
pp. 2554-2560
Author(s):  
Li Zhe Luo ◽  
Xue Hong Yang ◽  
Wen Zhen Yu ◽  
Shao Hua Pan
Keyword(s):  
Decision Making ◽  
Correlation Analysis ◽  
Choquet Integral ◽  
Fuzzy Measure ◽  
Entropy Principle ◽  
Hydropower Engineering ◽  
Rank And Select ◽  
Measure Entropy

The decision-making indicators of hydropower engineering diversion scenario are always related with diversion risk, and for determining the optimal scenario, correlation analysis and decoupling for indicators is the key problem. Using k-additive fuzzy measure to characterize and decouple the relevance of indicators on the base of the analysis and quantization of indicators, and determining the weights of indicators according to maximum fuzzy measure entropy principle, finally the synthetic appraisal value for diversion scenarios can be calculated with choquet integral to rank and select optimal scenario. The case study shows that the decision-making method is effective for characterizing and decoupling the relevance of the indicators and enhancing the decision-making veracity to provide an effective method for the diversion scenario decision of hydropower engineering.

An Evaluation Model Based on Rough Sets

2014 ◽  
Vol 602-605 ◽  
pp. 3379-3383
Author(s):  
Yong Sheng Liu ◽  
Zan Zhang
Keyword(s):  
Decision Making ◽  
Information System ◽  
Knowledge Discovery ◽  
Rough Sets ◽  
Choquet Integral ◽  
Evaluation Model ◽  
Fuzzy Measure ◽  
Model Based

In multiattribute decision making, it is critical to indentify the importance degree of attributes before the overall assessment of the alternatives. In this paper, we give a measurement of importance degree of attributes based on knowledge discovery in the decision information system, which satisfies the conditions of fuzzy measure. Further, we construct an evaluation model combined Choquet integral with the importance degree measure. The case study illustrates the validity and the effectiveness of the method.

Additive Intuitionistic Fuzzy Aggregation Operators Based on Fuzzy Measure

2016 ◽  
Vol 24 (01) ◽  
pp. 1-12 ◽  
Author(s):  
Zeshui Xu
Keyword(s):  
Decision Making ◽  
Probability Measure ◽  
Choquet Integral ◽  
Intuitionistic Fuzzy Sets ◽  
Aggregation Operators ◽  
Fuzzy Measure ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Aggregation ◽  
The World ◽  
Multi Attribute Decision Making

Intuitionistic fuzzy sets can describe the uncertainty and complexity of the world flexibly, so it has been widely used in multi-attribute decision making. Traditional intuitionistic fuzzy aggregation operators are usually based on the probability measure, namely, they consider that the attributes of objects are independent. But in actual situations, it is difficult to ensure the independence of attributes, so these operators are unsuitable in such situations. Fuzzy measure is able to depict the relationships among the attributes more comprehensively, so it can complement the traditional probability measure in dealing with the multi-attribute decision making problems. In this paper, we first analyze the existing intuitionistic fuzzy operators based on fuzzy measure, then introduce two novel additive intuitionistic fuzzy aggregation operators based on the Shapley value and the Choquet integral, respectively, and show their advantages over other ones.

Associated probabilities aggregations in multistage investment decision-making

Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Gia Sirbiladze ◽  
Harish Garg ◽  
Irina Khutsishvili ◽  
Bezhan Ghvaberidze ◽  
Bidzina Midodashvili
Keyword(s):  
Decision Making ◽  
Choquet Integral ◽  
Fuzzy Measure ◽  
Investment Model ◽  
Content Type ◽  
Owa Operators ◽  
Second Stage ◽  
Intuitionistic Fuzzy ◽  
Classical Criterion ◽  
New Criterion

PurposeThe attributes that influence the selection of applicants and the relevant crediting decisions are naturally distinguished by interactions and interdependencies. A new method of possibilistic discrimination analysis (MPDA) was developed for the second stage to address this phenomenon. The method generates positive and negative discrimination measures for each alternative applicant in relation to a particular attribute. The obtained discrimination pair reflects the interaction of attributes and represents intuitionistic fuzzy numbers (IFNs). For the aggregation of applicant's discrimination intuitionistic fuzzy assessments (with respect to attributes), new intuitionistic aggregation operators, such as AsP-IFOWA and AsP-IFOWG, are defined and studied. The new operators are certain extensions of the well-known Choquet integral and Yager OWA operators. The extensions, in contrast to the Choquet aggregation, take into account all possible interactions of the attributes by introducing associated probabilities of a fuzzy measure.Design/methodology/approachFor optimal planning of investments distribution and decreasing of credit risks, it is crucial to have selected projects ranked within deeply detailed investment model. To achieve this, a new approach developed in this article involves three stages. The first stage is to reduce a possibly large number of applicants for credit, and here, the method of expertons is used. At the second stage, a model of improved decisions is built, which reduces the risks of decision making. In this model, as it is in multi-attribute decision-making (MADM) + multi-objective decision-making (MODM), expert evaluations are presented in terms of utility, gain, and more. At the third stage, the authors construct the bi-criteria discrete intuitionistic fuzzy optimization problem for making the most profitable investment portfolio with new criterion: 1) Maximization of total ranking index of selected applicants' group and classical criterion and 2) Maximization of total profit of selected applicants' group.FindingsThe example gives the Pareto fronts obtained by both new operators, the Choquet integral and Yager OWA operators also well-known TOPSIS approach, for selecting applicants and awarding credits. For a fuzzy measure, the possibility measure defined on the expert evaluations of attributes is taken.Originality/valueThe comparative analysis identifies the applicants who will receive the funding sequentially based on crediting resources and their requirements. It has become apparent that the use of the new criterion has given more credibility to applicants in making optimal credit decisions in the environment of extended new operators, where the phenomenon of interaction of all attributes was also taken into account.

New Fuzzy Aggregation Operators Based on the Finite Choquet Integral — Application in the MADM Problem

2016 ◽  
Vol 15 (03) ◽  
pp. 517-551 ◽  
Author(s):  
Gia Sirbiladze
Keyword(s):  
Decision Making ◽  
Choquet Integral ◽  
Aggregation Operators ◽  
Fuzzy Measure ◽  
Weighted Averaging ◽  
Positive Real ◽  
Information Measures ◽  
Fuzzy Aggregation ◽  
Multi Attribute Decision Making ◽  
States Of Nature

In this paper, new generalizations of the probabilistic averaging operator — Associated Fuzzy Probabilistic Averaging (As-PA and As-FPA) and Immediate Probabilistic Fuzzy Ordered Weighted Averaging (As-IP-OWA and As-IP-FOWA) operators are presented in the environment of fuzzy uncertainty. An uncertainty is presented by associated probabilities of a fuzzy measure. Expert’s evaluations as arguments of the aggregation operators are described by a variable, values of which are compatibility levels on the states of nature defined in positive real or triangular fuzzy numbers (TFNs). Two propositions on the As-FPA operator are proved: (1) The As-FPA operator for the fuzzy measure — capacity of order two coincides with the finite Choquet Averaging (CA) Operator; (2) the As-FPA operator coincides with the FPA operator when a probability measure is used in the role of a fuzzy measure. Analogous propositions for the As-IP-FOWA operator are proved. Some propositions on the connection of the As-FPA and As-IP-FOWA operators are also proved. Information measures — Orness and Divergence for the constructed operators are defined. Some propositions on the connections of these parameters with the corresponding parameters of the finite CA Operator are proved. Two illustrative examples on the applicability of the As-FPA and As-IP-FOWA operators are presented: (1) Several variants of the As-FPA and As-IP-FOWA operators are used for comparison of decision-making results for the problems regarding the fiscal policy of a country; (2) The As-FPA operator is used in the Multi-attribute decision-making (MADM) problem of choosing the best version of the students’ project.

Intuitionistic Fuzzy Probabilistic Aggregation Operators Based on the Choquet Integral: Application in Multicriteria Decision-Making

2017 ◽  
Vol 16 (01) ◽  
pp. 245-279 ◽  
Author(s):  
Gia Sirbiladze ◽  
Otar Badagadze
Keyword(s):  
Decision Making ◽  
Choquet Integral ◽  
Core Competencies ◽  
Multicriteria Decision Making ◽  
Fuzzy Measure ◽  
Intuitionistic Fuzzy ◽  
Conjugate Connections ◽  
Decision Making Problem ◽  
Global Supplier ◽  
Geometric Operator

Associated Intuitionistic Fuzzy Probabilistic Averaging (As-IFPA) and Associated Intuitionistic Fuzzy Probabilistic Geometric (As-IFPG) operators based on the Choquet integral and an associated probability class of a fuzzy measure are constructed. Propositions on the correctness of the extensions are proved: (1) The As-IFPA (As-IFPG) operator for the fuzzy measure — capacity of order two coincides with the Intuitionistic Fuzzy Choquet Averaging (Intuitionistic Fuzzy Choquet Geometric) operator; (2) The As-IFPA (As-IFPG) operator coincides with the Intuitionistic Fuzzy Probabilistic Averaging (Intuitionistic Fuzzy Probabilistic Geometric) operator when a probability measure is used in the role of a fuzzy measure. Connections between the constructed operators and the compositions of dual triangular norms [Formula: see text] and [Formula: see text] are constructed. The conjugate connections between the constructed operators are shown. Two illustrative examples on the applicability of the As-IFPA and As-IFPG operators are presented. Several variants of the new operators (1) for the decision-making problem regarding the fiscal policy of a country; (2) for the decision-making problem regarding the best global supplier selection according to the core competencies of suppliers for a manufacturing company are used. Interactions and dependencies among all the combinations of the criteria in the decision-making process are considered.

scholarly journals Information Asymmetry and Its Implications in Online Purchasing Behaviour: A Country Case Study

2020 ◽  
Vol 12 (1) ◽  
pp. 72-82
Author(s):  
Esmir Demaj ◽  
Vilma Manjani
Keyword(s):  
Decision Making ◽  
Correlation Analysis ◽  
Information Asymmetry ◽  
Research Model ◽  
Multiple Sources ◽  
Traditional Markets ◽  
Online Platforms ◽  
Country Case Study ◽  
Purchasing Behaviour

The objective of this study is to analyse how certain variables in the online market affect the decision-making trajectory and actions toward reducing the information asymmetry faced in online purchasing. A survey and observation are conducted in order to understand the behavior and perceptions of online buyers toward the information given in online platforms. Descriptive and correlation analysis have been employed in order to evaluate the data collected and test the correlation between variables of the research model. It results that most participants take for granted the fact that sellers have more information than them when entering into a transaction agreement and this makes them feel inferior towards the superior power sellers possess in such interactions. This makes the traditional markets more preferred for them, however multiple sources such as reviews and ratings result as an alternative way of reducing the perceived information asymmetry.

scholarly journals Control Sequence Ranking for Critical System Based on Health of Equipment Thanks to Choquet Integral

2021 ◽  
Vol 3 ◽  
Author(s):  
Mohammed-Farouk Bouaziz ◽  
Pascale Marange ◽  
Alexandre Voisin ◽  
Jean-Francois Petin
Keyword(s):  
Decision Making ◽  
Utility Theory ◽  
Choquet Integral ◽  
Actual Condition ◽  
Multiattribute Utility ◽  
Weighted Mean ◽  
Health Checkup ◽  
Critical System ◽  
Using Data

This paper presents a ranking method of operating sequences based on the actual condition of complex systems. This objective is achieved using the health checkup concept and the multiattribute utility theory. Our contribution is the proposal of sequences ranking process using data and experts’ judgments. The ranking results in a decision-making element; it allows experts to have an objective and concise overall ranking to be used for decision making. A case study is presented based on an experimental platform; it allows us to compare two aggregation operators: the weighted mean and the Choquet integral.

scholarly journals To Make Good Decision: A Group DSS for Multiple Criteria Alternative Rank and Selection

2015 ◽  
Vol 2015 ◽  
pp. 1-15
Author(s):  
Chen-Shu Wang ◽  
Heng-Li Yang ◽  
Shiang-Lin Lin
Keyword(s):  
Decision Making ◽  
Decision Maker ◽  
Mutual Influence ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Multiple Perspectives ◽  
Decision Criteria ◽  
Good Decision ◽  
Rank And Select

Decision making is a recursive process and usually involves multiple decision criteria. However, such multiple criteria decision making may have a problem in which partial decision criteria may conflict with each other. An information technology, such asthe decision support system(DSS) and group DSS (GDSS), emerges to assist decision maker for decision-making process. Both the DSS and GDSS should integrate with a symmetrical approach to assist decision maker to take all decision criteria into consideration simultaneously. This study proposes a GDSS architecture named hybrid decision-making support model (HDMSM) and integrated four decision approaches (Delphi, DEMATEL, ANP, and MDS) to help decision maker to rank and select appropriate alternatives. The HDMSM consists of five steps, namely, criteria identification, criteria correlation calculation, criteria evaluation, critical criteria selection, and alternative rank and comparison. Finally, to validate the proposed feasibility of the proposed model, this study also conducts a case study to find out the important indexes of corporate social responsibility (CSR) from multiple perspectives. As the case study demonstrates the proposed HDMSM enables a group of decision makers to implement the MCDM effectively and help them to analyze the relation and degree of mutual influence among different evaluation factors.

Composite Fuzzy Measure and its Application to Decision-Making

2004 ◽  
Vol 8 (3) ◽  
pp. 252-259
Author(s):  
Toshihiro Kaino ◽  
◽  
Kaoru Hirota ◽  
Keyword(s):  
Decision Making ◽  
Capital Investment ◽  
Choquet Integral ◽  
Investment Decision ◽  
Measurable Space ◽  
Fuzzy Measure ◽  
Fuzzy Measures ◽  
Investment Decision Making ◽  
Decision Making Problem ◽  
Fuzzy Weights

In applications using fuzzy measures (on real numbers), it becomes a problem how to evaluate in-between intervals each characterized by a fuzzy measure, especially when the Choquet integral is differentiated in real world problems. A composite fuzzy measure built from fuzzy measures defined on fuzzy measurable spaces has been proposed by Kaino and Hirota using composite fuzzy weights, where the measurable space of this composite fuzzy measure is the direct sum of measurable spaces. An associative, composite fuzzy measure built from a finite number of fuzzy measures is proposed and, in a constructive application, it is applied to the automobile plant capital investment decision-making problem. It is assumed that an automobile company plans to sell a new car. The current plant line has a capacity of 3,200 new cars in addition to current car lines. Using this composite fuzzy measure, differentiation of the Choquet integral becomes a quantitative index for decision-making, which is confirmed by this decision-making experiment.

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