Normalization Of Multidimensional Data For Multi Criteria Decision Making Problems
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Normalization Of Multidimensional Data For Multi Criteria Decision Making Problems
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Author : Irik Z. Mukhametzyanov
language : en
Publisher:
Release Date : 2023
Normalization Of Multidimensional Data For Multi Criteria Decision Making Problems written by Irik Z. Mukhametzyanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
This book presents a systematic review of multidimensional normalization methods and addresses problems frequently encountered when using various methods and ways to eliminate them. The invariant properties of the linear normalization methods presented here can be used to eliminate simple problems and avoid obvious errors when choosing a normalization method. The book introduces valuable, novel techniques for the multistep normalization of multidimensional data. One of these methods involves inverting the normalized values of cost attributes into profit attributes based on the reverse sorting algorithm (ReS algorithm). Another approach presented is the IZ method, which addresses the issue of shift in normalized attribute values. Additionally, a new method for normalizing the decision matrix is proposed, called the MS method, which ensures the equalization of average values and variances of attributes. Featuring numerous illustrative examples throughout, the book helps readers to understand what difficulties can arise in multidimensional normalization, what to expect from such problems, and how to solve them. It is intended for academics and professionals in various areas of data science, computing in mathematics, and statistics, as well as decision-making and operations.
Normalization Of Multidimensional Data For Multi Criteria Decision Making Problems
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Author : Irik Z. Mukhametzyanov
language : en
Publisher: Springer Nature
Release Date : 2023-07-25
Normalization Of Multidimensional Data For Multi Criteria Decision Making Problems written by Irik Z. Mukhametzyanov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-25 with Business & Economics categories.
This book presents a systematic review of multidimensional normalization methods and addresses problems frequently encountered when using various methods and ways to eliminate them. The invariant properties of the linear normalization methods presented here can be used to eliminate simple problems and avoid obvious errors when choosing a normalization method. The book introduces valuable, novel techniques for the multistep normalization of multidimensional data. One of these methods involves inverting the normalized values of cost attributes into profit attributes based on the reverse sorting algorithm (ReS algorithm). Another approach presented is the IZ method, which addresses the issue of shift in normalized attribute values. Additionally, a new method for normalizing the decision matrix is proposed, called the MS method, which ensures the equalization of average values and variances of attributes. Featuring numerous illustrative examples throughout, the book helps readers to understand what difficulties can arise in multidimensional normalization, what to expect from such problems, and how to solve them. It is intended for academics and professionals in various areas of data science, computing in mathematics, and statistics, as well as decision-making and operations.
Multi Criteria And Multi Dimensional Analysis In Decisions
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Author : Kesra Nermend
language : en
Publisher: Springer Nature
Release Date : 2023-12-02
Multi Criteria And Multi Dimensional Analysis In Decisions written by Kesra Nermend and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-02 with Business & Economics categories.
A new era is emerging in which a group of quantitative methods featuring characteristics of multidimensional comparative analysis (MCA) and multi-criteria decision-making analysis (MCDA) can be used to automate objective decision-making processes. This book introduces the character of the criteria (desirable, non-desirable, motivating, demotivating, and neutral) to MCDA and MCA methods. It presents the author’s own developed methods, the preference vector method (PVM), for solving multi-criteria problems in decision making; and, vector measure construction method (VMCM), which is dedicated to solving typical problems in the field of multidimensional comparative analysis. All methods are explained step by step with relevant examples, primarily in the fields of economics and management.
Multiple Criteria Decision Aid
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Author : Jason Papathanasiou
language : en
Publisher: Springer
Release Date : 2018-09-19
Multiple Criteria Decision Aid written by Jason Papathanasiou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-19 with Business & Economics categories.
Multiple criteria decision aid (MCDA) methods are illustrated in this book through theoretical and computational techniques utilizing Python. Existing methods are presented in detail with a step by step learning approach. Theoretical background is given for TOPSIS, VIKOR, PROMETHEE, SIR, AHP, goal programming, and their variations. Comprehensive numerical examples are also discussed for each method in conjunction with easy to follow Python code. Extensions to multiple criteria decision making algorithms such as fuzzy number theory and group decision making are introduced and implemented through Python as well. Readers will learn how to implement and use each method based on the problem, the available data, the stakeholders involved, and the various requirements needed. Focusing on the practical aspects of the multiple criteria decision making methodologies, this book is designed for researchers, practitioners and advanced graduate students in the applied mathematics, information systems, operations research and business administration disciplines, as well as other engineers and scientists oriented in interdisciplinary research. Readers will greatly benefit from this book by learning and applying various MCDM/A methods. (Adiel Teixeira de Almeida, CDSID-Center for Decision System and Information Development, Universidade Federal de Pernambuco, Recife, Brazil) Promoting the development and application of multicriteria decision aid is essential to ensure more ethical and sustainable decisions. This book is a great contribution to this objective. It is a perfect blend of theory and practice, providing potential users and researchers with the theoretical bases of some of the best-known methods as well as with the computing tools needed to practice, to compare and to put these methods to use. (Jean-Pierre Brans, Vrije Universiteit Brussel, Brussels, Belgium) This book is intended for researchers, practitioners and students alike in decision support who wish to familiarize themselves quickly and efficiently with multicriteria decision aiding algorithms. The proposed approach is original, as it presents a selection of methods from the theory to the practical implementation in Python, including a detailed example. This will certainly facilitate the learning of these techniques, and contribute to their effective dissemination in applications. (Patrick Meyer, IMT Atlantique, Lab-STICC, Univ. Bretagne Loire, Brest, France)
An Innovative Grey Approach For Group Multi Criteria Decision Analysis Based On The Median Of Ratings By Using Python
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Author : Dragiša Stanujkic
language : en
Publisher: Infinite Study
Release Date : 2021-06-19
An Innovative Grey Approach For Group Multi Criteria Decision Analysis Based On The Median Of Ratings By Using Python written by Dragiša Stanujkic and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-19 with Business & Economics categories.
Some decision-making problems, i.e., multi-criteria decision analysis (MCDA) problems, require taking into account the attitudes of a large number of decision-makers and/or respondents. Therefore, an approach to the transformation of crisp ratings, collected from respondents, in grey interval numbers form based on the median of collected scores, i.e., ratings, is considered in this article. In this way, the simplicity of collecting respondents’ attitudes using crisp values, i.e., by applying some form of Likert scale, is combined with the advantages that can be achieved by using grey interval numbers. In this way, a grey extension of MCDA methods is obtained. The application of the proposed approach was considered in the example of evaluating the websites of tourism organizations by using several MCDA methods. Additionally, an analysis of the application of the proposed approach in the case of a large number of respondents, done in Python, is presented. The advantages of the proposed method, as well as its possible limitations, are summarized.
A Multi Criteria Decision Making Method Based On Single Valued Trapezoidal Neutrosophic Preference Relations With Complete Weight Information
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Author : Ru-xia Liang
language : en
Publisher: Infinite Study
Release Date :
A Multi Criteria Decision Making Method Based On Single Valued Trapezoidal Neutrosophic Preference Relations With Complete Weight Information written by Ru-xia Liang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Single-valued trapezoidal neutrosophic numbers (SVTNNs) have a strong capacity to depict uncertain, inconsistent, and incomplete information about decisionmaking problems.
Computational Science And Its Applications Iccsa 2023 Workshops
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Author : Osvaldo Gervasi
language : en
Publisher: Springer Nature
Release Date : 2023-06-28
Computational Science And Its Applications Iccsa 2023 Workshops written by Osvaldo Gervasi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-28 with Computers categories.
This nine-volume set LNCS 14104 – 14112 constitutes the refereed workshop proceedings of the 23rd International Conference on Computational Science and Its Applications, ICCSA 2023, held at Athens, Greece, during July 3–6, 2023. The 350 full papers and 29 short papers and 2 PHD showcase papers included in this volume were carefully reviewed and selected from a total of 876 submissions. These nine-volumes includes the proceedings of the following workshops: Advances in Artificial Intelligence Learning Technologies: Blended Learning, STEM, Computational Thinking and Coding (AAILT 2023); Advanced Processes of Mathematics and Computing Models in Complex Computational Systems (ACMC 2023); Artificial Intelligence supported Medical data examination (AIM 2023); Advanced and Innovative web Apps (AIWA 2023); Assessing Urban Sustainability (ASUS 2023); Advanced Data Science Techniques with applications in Industry and Environmental Sustainability (ATELIERS 2023); Advances in Web Based Learning (AWBL 2023); Blockchain and Distributed Ledgers: Technologies and Applications (BDLTA 2023); Bio and Neuro inspired Computing and Applications (BIONCA 2023); Choices and Actions for Human Scale Cities: Decision Support Systems (CAHSC-DSS 2023); and Computational and Applied Mathematics (CAM 2023).
Multi Criteria Decision Making Method For N Wise Criteria Comparisons And Inconsistent Problems
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Author : A. Elhassouny
language : en
Publisher: Infinite Study
Release Date :
Multi Criteria Decision Making Method For N Wise Criteria Comparisons And Inconsistent Problems written by A. Elhassouny and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The purpose of this paper is to present an alternative of a hybrid method based on Saaty’s Analytical Hierarchy Process and on the Technique for Order Preference by using the Similarity to Ideal Solution method (AHP-TOPSIS) and, based on the AHP and its use of pairwise comparisons, to extend it to a new method called α-D MCDMTOPSIS (α-Discounting Method for multi-criteria decision making-TOPSIS).
Application Of Neutrosophic Set To Multicriteria Decision Making By Copras
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Author : Romualdas BAUSYS
language : en
Publisher: Infinite Study
Release Date :
Application Of Neutrosophic Set To Multicriteria Decision Making By Copras written by Romualdas BAUSYS and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In this paper, a new extension of the crisp COPRAS method has been proposed. This extension is developed in the context of single value neutrosophic sets. The information processing flow has been proposed for the solution of the multicriteria decision-making problems.
Single Valued Trapezoidal Neutrosophic Multi Criteria Decision Making Problems Promethee Ii
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Author : S. Narayanamoorthy
language : en
Publisher: Infinite Study
Release Date :
Single Valued Trapezoidal Neutrosophic Multi Criteria Decision Making Problems Promethee Ii written by S. Narayanamoorthy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Decision making is a continuous and necessary part of the management of any organization or business activity. By solving the uncertain multi criteria decision making problems we can choose more reliably from the incomplete and complex information in real life dynamic from the decision makers. In this work, we discussed the PROMETHEE-II(Preference Ranking Organization Method For Enrichment Evaluation) for dealing with the Multi Criteria Decision Making problems with Single Valued Trapezoidal Neutrosophic Fuzzy Set in which the multiple alternatives are implemented by the decision makers with respect to the related criteria and the weights are completely unknown. Besides, the criteria weights are estimated based on the pairwise comparison of the criteria. By applying the PROMETHEE-II method, we get a partial and complete ranking order of the alternatives.