The Evaluation of Computer Algebra Systems Using Fuzzy Multi-Criteria Decision-Making Models

2020 ◽  
Vol 8 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Ilham Huseyinov ◽  
Feride Savaroglu Tabak
Keyword(s):  
Decision Making ◽  
Computer Algebra ◽  
Subjective Evaluation ◽  
Evaluation Criteria ◽  
Qualitative Evaluation ◽  
Evaluation Procedure ◽  
Computer Algebra Systems ◽  
Multi Criteria Decision Making ◽  
Order Preference ◽  
Mathematical Formulas

The main purpose of this study is to present a systematic methodology based on fuzzy Multi-Criteria Decision-Making (FMCDM) models to help users evaluate computer algebra systems (CAS). CAS is a software package for the manipulation of mathematical formulas. The suggested methodology is user-centred which involves users' subjective evaluation judgments. User judgments are represented by means of fuzzy linguistic modelling techniques. An evaluation criteria framework based on the concept of the usefulness of CAS is developed. Next, two FMCDM models – fuzzy Analytical Hierarchy Process (FAHP) and fuzzy Technique for Order Preference by Similarity to Ideal Solution (FTOPSIS) are proposed for the evaluation procedure. The FAHP is applied to determine the relative importance weights of qualitative evaluation criteria; the FTOPSIS is applied to rank the CAS alternatives. The illustrated case study demonstrates the applicability and effectiveness of the proposed methodology.

The Technique for Order of Preference by Similarity to Ideal Solution Method in Fuzzy Environment

2020 ◽  
pp. 139-168
Author(s):  
Merve Cengiz Toklu
Keyword(s):  
Decision Making ◽  
Evaluation Criteria ◽  
Fuzzy Topsis ◽  
Decision Makers ◽  
Decision Making Process ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Topsis Method ◽  
Order Preference ◽  
Fuzzy Logic Approach

Decision-making process is the selection of the most appropriate one among the alternatives. Different selection criteria are considered in the decision-making process. Simultaneous assessment of different evaluation criteria may not always be possible. Multi-criteria decision-making techniques provide an easily applicable mathematical solution in this respect. Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method is one of the multi-criteria decision-making techniques. This method is used in many problems in literature and allows multiple decision makers to choose the most suitable alternative by evaluating them together with different criteria. Assessments of decision makers may include linguistic statements. In this case, the Fuzzy Logic approach can be used. In this chapter, Fuzzy TOPSIS method is explained with a detailed numerical example.

Evaluation of Wheel Loaders in Open Pit Marble Quarrying by Using the AHP and Topsis Approaches / Ocena pracy ładowarki na podwoziu kołowym w odkrywkowej kopalni marmuru w oparciu o metody AHP i topsis

2013 ◽  
Vol 58 (1) ◽  
pp. 255-267 ◽  
Author(s):  
Mete Kun ◽  
Şeyda Topaloğlu ◽  
Tahir Malli
Keyword(s):  
Decision Making ◽  
Rapid Development ◽  
Evaluation Criteria ◽  
Open Pit ◽  
Evaluation Procedure ◽  
Labor Costs ◽  
Analytic Hierarchy ◽  
Wheel Loader ◽  
Order Preference ◽  
Wheel Loaders

The marble mining in Turkey has been rising since the early 80’s. In relation to that, the marble income has become noticeably bigger than those of other mining sectors. In recent years, marble and natural stone export composes half of the total mine export with a value of two billion dollars. This rapid development observed in marble operation has increased the importance of mining economics, income-expenditure balance and cost analysis. The most important cost elements observed in marble quarrying are machinery and equipment, labor costs and geological structures of the field. The aim of this study is to is to propose a multi-criteria decision making (MCDM) approach to evaluate the wheel loader alternatives and select the best loader under multiple criteria. A two-step methodology based on two MCDM methods, which are namely the Analytic Hierarchy Process (AHP) and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), are used in the evaluation procedure. More precisely, AHP is applied to determine the relative weights of evaluation criteria and TOPSIS is applied to rank the wheel loader alternatives. The proposed approach also provides a relatively simple and very well suited decision making tool for this type of decision making problems.

scholarly journals SOFTWARE SELECTION ON BASE OF SUGENO INTEGRAL

World Science ◽  
2020 ◽  
Author(s):  
Vagif Salimov
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Mutual Influence ◽  
Evaluation Criteria ◽  
Fuzzy Measure ◽  
Multi Criteria Decision Making ◽  
Main Difficulty ◽  
Software Selection ◽  
Sugeno Integral ◽  
Theory Of Fuzzy Sets

The article is devoted to the problem of  software selection. As a rule, this tasks are formalized as models of multi-criteria decision making (MCDM). The peculiarity of this problem is in the fact that the evaluation criteria , is generally defined by linguistic expert. This requires the use of special methods, in particularly, the theory of fuzzy sets. To solve the problem, an approach based on the  a fuzzy measure  was used . In general, a fuzzy measure allows one to take into account the effect of the mutual influence of criteria. The main difficulty lies in identifying this measure. The fuzzy Sugeno measure and  Sugeno integral were used. An example of solving the indicated problem is given.

scholarly journals SELECTING THE OPTIMAL RENEWABLE ENERGY USING MULTI CRITERIA DECISION MAKING

2013 ◽  
Vol 14 (5) ◽  
pp. 957-978 ◽  
Author(s):  
Abdolreza Yazdani-Chamzini ◽  
Mohammad Majid Fouladgar ◽  
Edmundas Kazimieras Zavadskas ◽  
S. Hamzeh Haji Moini
Keyword(s):  
Decision Making ◽  
Renewable Energy ◽  
Evaluation Criteria ◽  
Energy Resources ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Proposed Model ◽  
Negative Ideal Solution ◽  
Hierarchy Process ◽  
The Ideal

Renewable energies are well-known as one of the most important energy resources not only due to limited other energy resources, but also due to environmental problems associated with air pollutants and greenhouse gas emissions. Renewable energy project selection is a multi actors and sophisticated problem because it is a need to incorporate social, economic, technological, and environmental considerations. Multi criteria decision making (MCDM) methods are powerful tools to evaluate and rank the alternatives among a pool of alternatives and select the best one. COPRAS (COmplex PRoportional ASsessment) is an MCDM technique which determines the best alternative by calculating the ratio to the ideal solution and the negative ideal solution. On the other hand, analytical hierarchy process (AHP) is widely used in order to calculate the importance weights of evaluation criteria. In this paper an integrated COPRAS-AHP methodology is proposed to select the best renewable energy project. In order to validate the output of the proposed model, the model is compared with five MCDM tools. The results of this paper demonstrate the capability and effectiveness of the proposed model in selecting the most appropriate renewable energy option among the existing alternatives.

scholarly journals Multi-criteria decision-making for flood risk management: a survey of the current state of the art

2016 ◽  
Vol 16 (4) ◽  
pp. 1019-1033 ◽  
Author(s):  
Mariana Madruga de Brito ◽  
Mariele Evers
Keyword(s):  
Decision Making ◽  
Risk Management ◽  
Flood Risk ◽  
Flood Risk Management ◽  
Decision Making Process ◽  
Multi Criteria Decision Making ◽  
Wide Range ◽  
Order Preference ◽  
Criteria Weights ◽  
Simple Additive Weighting

Abstract. This paper provides a review of multi-criteria decision-making  (MCDM) applications to flood risk management, seeking to highlight trends and identify research gaps. A total of 128 peer-reviewed papers published from 1995 to June 2015 were systematically analysed. Results showed that the number of flood MCDM publications has exponentially grown during this period, with over 82 % of all papers published since 2009. A wide range of applications were identified, with most papers focusing on ranking alternatives for flood mitigation, followed by risk, hazard, and vulnerability assessment. The analytical hierarchy process (AHP) was the most popular method, followed by Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS), and Simple Additive Weighting (SAW). Although there is greater interest in MCDM, uncertainty analysis remains an issue and was seldom applied in flood-related studies. In addition, participation of multiple stakeholders has been generally fragmented, focusing on particular stages of the decision-making process, especially on the definition of criteria weights. Therefore, addressing the uncertainties around stakeholders' judgments and endorsing an active participation in all steps of the decision-making process should be explored in future applications. This could help to increase the quality of decisions and the implementation of chosen measures.

scholarly journals MCDM-ECP: Multi Criteria Decision Making Method for Emergency Communication Protocol in Disaster Area Wireless Network

2018 ◽  
Vol 8 (7) ◽  
pp. 1165 ◽  
Author(s):  
Xiaoming Wang ◽  
Demin Li ◽  
Xiaolu Zhang ◽  
Yongsheng Cao
Keyword(s):  
Decision Making ◽  
Network Architecture ◽  
Communication Protocol ◽  
Hybrid Network ◽  
Multi Criteria Decision Making ◽  
The Novel ◽  
Emergency Communication ◽  
Analytic Hierarchy ◽  
Disaster Area ◽  
Order Preference

Disaster Area Wireless Networks (DAWNs) are widely deployed in natural or man-made disaster scenes, since the communication infrastructure may be completely destroyed by the disaster. This paper proposes a hybrid network architecture for DAWNs due to the mobility of first responders and refugees. Based on the link characterization of DAWNs, we choose four essential criteria and propose a multi-criteria decision-making method for emergency communication protocol (MCDM-ECP), which utilizes the analytic hierarchy process (AHP) method and Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) method to find the optimal next-hop node in DAWNs. Routing discovery and routing maintenance processes are included in the novel protocol. The simulation results show that MCDM-ECP performs better than other classical protocols both in energy consumption and packet received rate (PRR) for long-term emergency communications.

scholarly journals A MODIFIED MCDM ALGORITHM WITH CUMULATIVE ENTROPY WEIGHTS FOR SELECTING THE WINNER OF THE TENDER

2019 ◽  
pp. 46-51
Author(s):  
A. O. Matin ◽  
F. Misagh
Keyword(s):  
Decision Making ◽  
Evaluation Criteria ◽  
Specific Weight ◽  
Multi Criteria Decision Making ◽  
Efficient Management ◽  
Research Findings ◽  
Utility Rate ◽  
Input Variables ◽  
Decision Making Model ◽  
Cumulative Entropy

The aim of this research is to evaluate the proposed bids using impartial and entropy weights in a multi-criteria decision-making model. We use matrix data for hypothetical bidding involving nine criteria, with the presence of four domestic and two foreign contractors. Then, using cumulative entropy function, we estimate the entropy weights and use it in a multi-criteria decision-making model. The criteria of experience and knowledge in the field, good history and satisfaction in previous projects, financial and support capabilities, localization of the contractor, having the experience at the site of the project, availability and readiness of equipment and machines, the adequacy of technical staff, the work quality system, the efficient management and appropriate management system, creativity and innovation in similar tasks are the input variables of the decision model. After analyzing them, the proposals are prioritized through a multi-criteria decision-making model. The research findings include Shannon entropy and cumulative entropy-based weights for evaluation criteria and after applying the specific weight for the proposed quotation, the utility rate of each contractor is calculated. The results showed that the use of modified multi-dimensional decision-making method is more advantageous than traditional methods of evaluating bidding proposals in selecting the winner of a tender, and also using cumulative entropy weights in comparison with Shannon's leads to a more realistic choice of contractors.

scholarly journals Comparison of the Economic Performance of Turkish Republics in Central Asia with TOPSIS Method

2015 ◽  
Author(s):  
Ziya Gökalp Göktolga ◽  
Engin Karakış ◽  
Hakan Türkay
Keyword(s):  
Decision Making ◽  
Central Asia ◽  
Economic Performance ◽  
Multi Criteria Decision Making ◽  
Ideal Solution ◽  
Topsis Method ◽  
Economic Management ◽  
Macroeconomic Indicators ◽  
Order Preference ◽  
Negative Ideal Solution

The aim of this study is to compare the economic performance of Turkish Republics in Central Asia with Multi Criteria Decision Making (MCDM) methods. Turkish Republics have been experiencing a transition from a centrally planned economy towards a market economy since their independence. In this study important macroeconomic indicators are used to determine economic performance. Economic performance evaluation of the country is an important issue for economic management, investors, creditors and stock investors. Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method outranks the countries according to the proximity of the positive ideal solution and distance of the negative ideal solution. Economic Performance of Turkish Republics in Central Asia (Azerbaijan, Turkmenistan, Kazakhstan, Kyrgyzstan, and Uzbekistan) are compared with TOPSIS method. İnvestigated with TOPSIS method countries best and worst economic performance years are detected during mentioned period and results are analyzed.

Sign in / Sign up

Export Citation Format

Share Document