Average Longest Path and Maximum Cost Network Flows with Multiple-Criteria Weights

2018 ◽  
Vol 69 ◽  
pp. 181-188 ◽  
Author(s):  
Jeremy D. Jordan ◽  
Jeffery D. Weir
Keyword(s):  
Network Flows ◽  
Multiple Criteria ◽  
Maximum Cost ◽  
Longest Path ◽  
Criteria Weights

scholarly journals A New Grey Approach for Using SWARA and PIPRECIA Methods in a Group Decision-Making Environment

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1554
Author(s):  
Dragiša Stanujkić ◽  
Darjan Karabašević ◽  
Gabrijela Popović ◽  
Predrag S. Stanimirović ◽  
Muzafer Saračević ◽  
...  
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Multiple Criteria Decision Making ◽  
Grey System Theory ◽  
Multiple Criteria ◽  
Decision Making Process ◽  
Grey System ◽  
Criteria Weights

The environment in which the decision-making process takes place is often characterized by uncertainty and vagueness and, because of that, sometimes it is very hard to express the criteria weights with crisp numbers. Therefore, the application of the Grey System Theory, i.e., grey numbers, in this case, is very convenient when it comes to determination of the criteria weights with partially known information. Besides, the criteria weights have a significant role in the multiple criteria decision-making process. Many ordinary multiple criteria decision-making methods are adapted for using grey numbers, and this is the case in this article as well. A new grey extension of the certain multiple criteria decision-making methods for the determination of the criteria weights is proposed. Therefore, the article aims to propose a new extension of the Step-wise Weight Assessment Ratio Analysis (SWARA) and PIvot Pairwise Relative Criteria Importance Assessment (PIPRECIA) methods adapted for group decision-making. In the proposed approach, attitudes of decision-makers are transformed into grey group attitudes, which allows taking advantage of the benefit that grey numbers provide over crisp numbers. The main advantage of the proposed approach in relation to the use of crisp numbers is the ability to conduct different analyses, i.e., considering different scenarios, such as pessimistic, optimistic, and so on. By varying the value of the whitening coefficient, different weights of the criteria can be obtained, and it should be emphasized that this approach gives the same weights as in the case of crisp numbers when the whitening coefficient has a value of 0.5. In addition, in this approach, the grey number was formed based on the median value of collected responses because it better maintains the deviation from the normal distribution of the collected responses. The application of the proposed approach was considered through two numerical illustrations, based on which appropriate conclusions were drawn.

scholarly journals An Approach of Interval-Valued Picture Fuzzy Uncertain Linguistic Aggregation Operator and Their Application on Supplier Selection Decision-Making in Logistics Service Value Concretion

2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Muhammad Naeem ◽  
Muhammad Qiyas ◽  
Saleem Abdullah
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Supplier Selection ◽  
Group Decision ◽  
Multiple Criteria ◽  
Service Value ◽  
Logistics Service ◽  
Criteria Weights ◽  
Selection Decision ◽  
Interval Valued

With respect to multiple criteria group decision-making (MCGDM) problems in which both the criteria weights and the expert weights take the form of crisp numbers and attribute values take the form of interval-valued picture fuzzy uncertain linguistic numbers, some new group decision-making analysis methods are developed. Firstly, some operational laws, expected value, and accuracy function of interval-valued picture fuzzy uncertain linguistic numbers are introduced. Then, an interval-valued picture fuzzy uncertain linguistic averaging and geometric aggregation operators are developed. Furthermore, some desirable properties of the developed operators, such as commutativity, idempotency, and monotonicity, have been studied. Based on these operators, an approach to multiple criteria group decision-making with interval-valued picture fuzzy uncertain linguistic information has been proposed. Finally, a practical example of 3PL supplier selection in logistics service value concretion is taken to test the defined method and to expose the effectiveness of the defined model.

scholarly journals Multi-Criteria Examination of Power-to-Gas Pathways under Stochastic Preferences

Energies ◽  
2020 ◽  
Vol 13 (12) ◽  
pp. 3151 ◽  
Author(s):  
Sean Walker ◽  
Suadd Al-Zakwani ◽  
Azadeh Maroufmashat ◽  
Michael Fowler ◽  
Ali Elkamel
Keyword(s):  
Peak Power ◽  
Multiple Criteria ◽  
Analysis Tool ◽  
Analytic Hierarchy ◽  
Policy Makers ◽  
Renewable Power ◽  
Criteria Weights ◽  
Power To Gas ◽  
Renewable Energy Generation ◽  
Hierarchy Process

Power-to-gas is an energy storage and vector technology which can utilize off-peak power, assist in the integration of renewable power and provide needed fuel for industry and transportation. Further, power-to-gas is a useful technology for balancing surplus baseload and renewable energy generation with demand. There are numerous applications of power-to-gas in Europe, where renewable power is used to generate hydrogen for numerous applications. Examining each of these power-to-gas pathways across quantitative and qualitative criteria, this paper utilizes the stochastic fuzzy analytic hierarchy process to determine criteria weights. These weights are then fed to a multiple criteria decision analysis tool to determine the viability of each pathway for investors and policy makers. A sensitivity analysis is carried out by reprioritizing the criteria and re-evaluating the multiple criteria analysis. The two pathways that score highest under multiple criteria rankings are power-to-gas to mobility-fuel and power-to-gas-to-power, due to their established technologies, lower costs and environmental performance. By extension, both of these power-to-gas pathways are the most appropriate ways for this technology to be implemented, due to their combination of public familiarity, emissions reductions, and developed, available technologies.

scholarly journals Evaluation of multiple criteria quality of mathematics learning objects in eQNet project

2010 ◽  
Vol 51 ◽  
Author(s):  
Silvija Sėrikovienė ◽  
Eugenijus Kurilovas
Keyword(s):  
Mathematics Learning ◽  
Quality Criteria ◽  
Learning Objects ◽  
Multiple Criteria ◽  
Digital Learning ◽  
Criteria Weights ◽  
Technological Quality ◽  
Digital Learning Objects ◽  
Fuzzy Group Decision Making

The paper is aimed to analyse the application of several scientific approaches, methods, and principles for evaluation of quality of digital learning objects (LOs) for Mathematics subject. The authors analyse the following approaches to minimise subjectivity level in expert evaluation of LOs quality, namely: (1) principles of multiple criteria decision analysis for identification of quality criteria, (2) technological quality criteria classification principle, (3) fuzzy group decision making theory toobtain evaluation measures, (4) normalisation requirement for criteria weights, and (5) scalarisation method for LOs quality evaluation. The applied approaches have been used practically for evaluation of LOs while implementing European Lifelong Learning programme’s eQNet project in Lithuanian comprehensive schools in winter and spring 2010.

scholarly journals Criteria weights balancing using Kemeny median

2014 ◽  
Vol 55 ◽  
Author(s):  
Aleksandras Krylovas ◽  
Natalja Kosareva
Keyword(s):  
Decision Making ◽  
Optimization Problem ◽  
Optimization Problems ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Criteria Weights ◽  
Conditional Optimization

The proposed in the article weights balancing approach enables to solve multiple criteria decision making tasks for the cases when objects are estimated by the two or more groups of the criteria which are not quantitatively compatible with each other. Criteria weights are being balanced by solving conditional optimization problems. The conditions for the certain optimization problem are determined by the construction of Kemeny median.

Area-based harvest scheduling and allocation of forest land using methods for multiple-criteria decision making

1993 ◽  
Vol 23 (2) ◽  
pp. 151-158 ◽  
Author(s):  
Andrew F. Howard ◽  
John D. Nelson
Keyword(s):  
Decision Making ◽  
Multiple Criteria Decision Making ◽  
Multiple Objectives ◽  
Multiple Criteria ◽  
Land Allocation ◽  
Harvest Scheduling ◽  
Simultaneous Solution ◽  
Forest Land ◽  
Criteria Weights ◽  
Explicit Consideration

A new, deterministic methodology for simultaneous solution of the scheduling and allocation problems based on methods developed for multiple-criteria decision making is proposed. Seven steps for the use of multiple-criteria decision making techniques are reviewed, and the details of the proposed application to area-based harvest scheduling and forest land allocation are presented. The approach was used in a sample, hypothetical problem in which harvest schedules and allocations were developed for three competitors, using three decision criteria and two sets of criteria weights. The results indicate that the new method provides an effective alternative to traditional methods and offers numerous advantages including the explicit consideration of multiple objectives.

New Method for Solving a General Multiple Criteria Decision-Making Problem Under Risk in Fuzzy Environment

2016 ◽  
Vol 15 (05) ◽  
pp. 1157-1179 ◽  
Author(s):  
N. Thillaigovindan ◽  
S. Anita Shanthi ◽  
J. Vadivel Naidu
Keyword(s):  
Decision Making ◽  
Multiple Criteria Decision Making ◽  
Multiple Criteria ◽  
Fuzzy Soft Set ◽  
Score Functions ◽  
Fuzzy Environment ◽  
Criterion Weight ◽  
Decision Making Problem ◽  
Criteria Weights ◽  
Interval Valued

This paper considers a multiple criteria decision-making (MCDM) problem under risk in fuzzy environment in its general form. There are m alternatives which need to be ranked on the basis of a set of n criteria. The alternatives and the criteria are evaluated based on a set of l characteristics. The entire data is presented in the form of interval valued intuitionistic fuzzy soft set of root type. In addition each criterion is assigned a subjective criterion weight based on expert’s evaluation and each characteristic is assigned a probability weight on the basis of decision maker’s knowlege and understanding of the importance of the characteristic. This problem may be called as a MCDM problem under risk in fuzzy environment in its general form. A method for ranking the alternatives using the new score functions, prospect theory and method of determining the optimum criteria weights is explained. An algorithm is developed for this purpose and its working illustrated with a suitable example.

scholarly journals Weights balancing method using entropy values in solving MCDM problem

2016 ◽  
Vol 57 ◽  
Author(s):  
Aleksandras Krylovas ◽  
Natalja Kosareva
Keyword(s):  
Optimization Problems ◽  
Multiple Criteria ◽  
Multiple Criteria Optimization ◽  
Optimization Task ◽  
Local Extrema ◽  
Criteria Weights

The article shows how multiple criteria optimization problems could be solved by application of modified KEMIRA method, when there are three groups of criteria. Criteria priorities are determined by the entropy, criteria weights are calculated by solving optimization task. The proposed method allows to find one of several possible local extrema.

scholarly journals Investment Opportunities Identification Based on Macroeconomic Development, the Multiple Criteria Decision Approach

Symmetry ◽  
2019 ◽  
Vol 11 (6) ◽  
pp. 827 ◽  
Author(s):  
Veronika Mitkova ◽  
Vladimír Mlynarovič
Keyword(s):  
Multiple Criteria Decision Making ◽  
Investment Strategy ◽  
Multiple Criteria ◽  
Optimization Approach ◽  
Government Bond ◽  
Government Bonds ◽  
Promethee Ii ◽  
Symmetry Approach ◽  
Investment Opportunities ◽  
Criteria Weights

The aim of this work is to develop a “learning model” which outranks countries according to their confrontation of historical macroeconomic indicators for a given period of time with the spreads at the end of that time and to formulate a forward-looking investment strategy regarding government bonds for the following time period. The mechanism of identifying investment opportunities among government bonds is based on the multiple criteria decision making technique, and we look to the Promethee II method as a symmetry approach to country ordering. The spread is defined as the difference between the yield to maturity of the 10-year government bond of a country and the Germany government bond with the same maturity. In this paper, an optimization approach based on three models is developed to find the weights of importance for macroeconomic characteristics, together with a sensitivity analysis on changes in these characteristics. The method was applied to 17 European countries characterized by 16 macroeconomic characteristics. The originality of this paper lies in the two-stage approach to the investment strategy construction based on criteria weights optimization with stability intervals for their values.

Performance Based Redundancy Resolution With Multiple Criteria

1998 ◽  
Author(s):  
Chetan Kapoor ◽  
Murat Cetin ◽  
Delbert Tesar
Keyword(s):  
Inverse Kinematics ◽  
Degrees Of Freedom ◽  
Object Oriented ◽  
Multicriteria Decision Making ◽  
Multiple Criteria ◽  
Software Framework ◽  
Redundancy Resolution ◽  
Real Time Control ◽  
Time Control ◽  
Criteria Weights

Abstract This paper presents a scaleable approach to redundancy resolution problems involving multiple criteria. The proposed scheme relies on the disintegration of the inverse kinematics solution from multicriteria decision making. The scheme is composed of systematic generation of a set of inverse kinematics solutions and evaluating these solutions using multiple criteria. The proposed approach is especially promising for problems that can accommodate extensive number of criteria. Weights assigned to different criteria are monitored and adjusted to achieve desired performance goals. The scheme is implemented using an object-oriented operational software framework, and its functionality is tested under interactive real-time control of a 10 degrees of freedom manipulator.

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