Linking Neutrosophic Ahp And Neutrosophic Social Choice Theory For Group Decision Making
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| Author | : Sharon Dinarza Álvarez Gómez |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : 2020-11-01 |
| Genre | : Mathematics |
| ISBN | : |
Analytic Hierarchy Process (AHP) is a decision-making technique that has been widely studied and developed by the scientific community. The interest in this tool is because it combines scientific rigor with the simplicity of its application. Additionally, it has been extended to uncertainty frameworks, such as fuzzy and neutrosophic frameworks. This paper aims to define a new method called NAHP+NSC, where the Neutrosophic Analytic Hierarchy Process (NAHP) is combined with the recently introduced Neutrosophic Social Choice (NSC) theory. Neutrosophy incorporates indeterminacy to both the AHP technique and the SC theory, which is an intrinsic condition of any decision-making process. On the other hand, it is possible to count on a group of experts to carry out the NAHP evaluations, where the chosen alternative is the one with the highest votes. Experts are divided into kind of homogeneous sub-groups called Interest Groups (IG), where each IG conjointly evaluates the proposed alternatives, and then tools of NSC are used for choosing the best alternative. The contribution of this new method is that evaluations and results are more accurate when indeterminacy is incorporated.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 438 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The main objective of this special issue is to divulge the applicability of the Neutrosophic Theory and to explore the possibilities and advantages of neutrosophic tools, through both the presentation of thorough research and case studies in solving social problems in Latin America. The best presentations discussed at the III International Congress of Educational Research and University Innovation, turned into papers, show us the capacity for socialization of neutrosophic knowledge and its link with this science of validation and consolidation of scientific knowledge. This publication with authors from 11 countries that we place in the hands of the international scientific community, constitutes an example of how in Latin America the Neutrosophy is contributing to complex solutions based on the results of scientific research carried out by teachers and students committed to the social responsibility of continuing to progress for the benefit of humanity.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 475 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
This special issue reflects the impact of neutrosophic theory in Latin America, especially after creating the Latin American Association of Neutrosophic Sciences. Among the areas of publication most addressed in the region are found in the interrelation of social sciences and neutrosophy, presenting outstanding results in these research areas. The main objective of this special issue is to divulge the impact publication related to the Neutrosophic theory and explore new areas of research and application in the region. The SI reflects the influence of the neutrosophic publications in Latin America by opening new research areas mainly related to Neutrosophic Statistics, Plithogeny, and NeutroAlgebra. Furthermore, it is worth mentioning the incorporation of authors from new countries in the region, such as Paraguay, Uruguay, and Panama, to have authors in total from 15 countries, 12 of them from the Latin American region.
| Author | : Ariel Romero Fernández |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : 2021-05-01 |
| Genre | : Mathematics |
| ISBN | : |
Nowadays, the economic crisis affecting the countries makes more important the selection process of investment projects. Such is the case of Ecuador where the Multi-annual Public Investment Plan 2017-2021 establishes indicative amounts of public investment that are projected to be executed annually to achieve each of the nine strategic objectives of the National Development Plan that pay tribute to the Sustainable Development Goals of the UN. This plan has certain weaknesses that may not allow an effective and efficient choice at the same time. Which entails a scenario of uncertainty for the Ecuadorian investment process. So we dare to say that a classic selection of investment projects is not suitable. Therefore, there is a need for a decisionmaking support tool that allows the most effective and optimal selection of the projects of greater importance and scope based on multiple, specifically defined criteria. Thus, the main objective of this research is to develop a selection process for investment projects based on multicriteria decision methods in a plithogenic environment. If an adequate method is determined for the selection of an investment project in an environment of uncertainty based on Plithogeny, it will be possible to provide an effective tool that optimizes the decision-making process. For this, the plithogenic versions of the AHP and TOPSIS methods will be adopted.
| Author | : Amin Vafadarnikjoo |
| Publisher | : Infinite Study |
| Total Pages | : 18 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The analytic hierarchy process (AHP) is recognised as one of the most commonly applied methods in the multiple attribute decision-making (MADM) literature. In the AHP, encompassing uncertainty feature necessitates using suitable uncertainty theories, since dealing efficiently with uncertainty in subjective judgements is of great importance in real-world decision-making problems. The neutrosophic set (NS) theory and grey systems are two reliable uncertainty theories which can bring considerable benefits to uncertain decision-making. Thea im of this study is to improve uncertain decision-making by incorporating advantages of the NS and grey systems theories with the AHP in investigating sustainability through agility readiness evaluation in large manufacturing plants.
| Author | : Mohamed Abdel-Basset |
| Publisher | : Infinite Study |
| Total Pages | : 18 |
| Release | : |
| Genre | : |
| ISBN | : |
Every organization seeks to set strategies for its development and growth and to do this, it must take into account the factors that affect its success or failure.
| Author | : Mohamed Abdel-Basset |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this research, the stress is placed upon the choosing of sugar analyzing smart medical devices for diabetics’ patients. The main objective is to present the complications of the problem, raising interest among specialists in the healthcare industry and assessing smart medical devices under different evaluation criteria. The problem is formulated as a multi criteria decision type with seven alternatives and seven criteria, and then edited as a multi criteria decision model with seven alternatives and seven criteria.
| Author | : Muhammad Junaid |
| Publisher | : Infinite Study |
| Total Pages | : 26 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
This study aims at identifying and assessing supply chain risks and developing criteria for managing these risks.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 143 |
| Release | : 2017-10-01 |
| Genre | : Mathematics |
| ISBN | : |
We introduce for the first time the concept of plithogeny in philosophy and, as a derivative, the concepts of plithogenic set / logic / probability / statistics in mathematics and engineering – and the degrees of contradiction (dissimilarity) between the attributes’ values that contribute to a more accurate construction of plithogenic aggregation operators and to the plithogenic relationship of inclusion (partial ordering).
| Author | : Dongsheng Xu |
| Publisher | : Infinite Study |
| Total Pages | : 12 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, a new method based on PROMETHEE and TODIM is proposed to solve the MADM problem under the single-valued neutrosophic environment. Based on the calculation formula of inflow and outflow in PROMETHEE method, and the calculation formula of overall dominance in the TODIM method, a new integrated formula is obtained.
