Application of Similarity Measure on m-polar Interval-valued Neutrosophic Set in Decision Making in Sports
Title | Application of Similarity Measure on m-polar Interval-valued Neutrosophic Set in Decision Making in Sports PDF eBook |
Author | Muhammad Saeed |
Publisher | Infinite Study |
Pages | 18 |
Release | 2020-12-01 |
Genre | Mathematics |
ISBN |
In real life, most of the problems occurred by wrong decision making, while in sports it is mandatory for every player, coach, and technique director to make a good and an ideal decision. In this paper, the concept of similarity measure is used in the neutrosophic environment for decision making in a football game for the selection of players. The data is collected in interval-valued, while the new concept m-polar is illustrated as previous records of m matches played by players. m-polar structures provide multiple data on the concerned problem, so as a result the best solution can be developed for the selection problem. An m-polar Interval-valued Neutrosophic Set (mIVNS) is derived for the targeted task of player selection problem. Then some operations, properties, and distance measures are introduced on m-polar Interval-valued Neutrosophic Set (mIVNS). Distance-base Similarity Measure is illustrated to each player with an ideal set in mIVNS structure. In the end, the Algorithm is given for ideal decision-making in sports for the selection of players.
Neutrosophic Sets and Systems, Vol. 38, 2020
Title | Neutrosophic Sets and Systems, Vol. 38, 2020 PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 662 |
Release | |
Genre | Mathematics |
ISBN |
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Neutrosophic Sets and Systems, Vol. 40, 2021
Title | Neutrosophic Sets and Systems, Vol. 40, 2021 PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 279 |
Release | |
Genre | Mathematics |
ISBN |
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
Neutrosophic Sets and Systems, vol. 50/2022
Title | Neutrosophic Sets and Systems, vol. 50/2022 PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 674 |
Release | 2022-06-01 |
Genre | Mathematics |
ISBN |
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation
Theory and Application of Hypersoft Set
Title | Theory and Application of Hypersoft Set PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 246 |
Release | 2021-02-01 |
Genre | Mathematics |
ISBN |
Florentin Smarandache generalize the soft set to the hypersoft set by transforming the function 𝐹 into a multi-argument function. This extension reveals that the hypersoft set with neutrosophic, intuitionistic, and fuzzy set theory will be very helpful to construct a connection between alternatives and attributes. Also, the hypersoft set will reduce the complexity of the case study. The Book “Theory and Application of Hypersoft Set” focuses on theories, methods, algorithms for decision making and also applications involving neutrosophic, intuitionistic, and fuzzy information. Our goal is to develop a strong relationship with the MCDM solving techniques and to reduce the complexion in the methodologies. It is interesting that the hypersoft theory can be applied on any decision-making problem without the limitations of the selection of the values by the decision-makers. Some topics having applications in the area: Multi-criteria decision making (MCDM), Multi-criteria group decision making (MCGDM), shortest path selection, employee selection, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more.
Novel Similarity Measure for Interval-Valued Data Based on Overlapping Ratio
Title | Novel Similarity Measure for Interval-Valued Data Based on Overlapping Ratio PDF eBook |
Author | Uwe Aickelin |
Publisher | |
Pages | 0 |
Release | 2017 |
Genre | |
ISBN |
In computing the similarity of intervals, current similarity measures such as the commonly used Jaccard and Dice measures are at times not sensitive to changes in the width of intervals, producing equal similarities for substantially different pairs of intervals. To address this, we propose a new similarity measure that uses a bi-directional approach to determine interval similarity. For each direction, the overlapping ratio of the given interval in a pair with the other interval is used as a measure of uni-directional similarity. We show that the proposed measure satisfies all common properties of a similarity measure, while also being invariant in respect to multiplication of the interval endpoints and exhibiting linear growth in respect to linearly increasing overlap. Further, we compare the behavior of the proposed measure with the highly popular Jaccard and Dice similarity measures, highlighting that the proposed approach is more sensitive to changes in interval widths. Finally, we show that the proposed similarity is bounded by the Jaccard and the Dice similarity, thus providing a reliable alternative.
An Extended MABAC Method Based on Triangular Fuzzy Neutrosophic Numbers for Multiple-Criteria Group Decision Making Problems
Title | An Extended MABAC Method Based on Triangular Fuzzy Neutrosophic Numbers for Multiple-Criteria Group Decision Making Problems PDF eBook |
Author | Irvanizam Irvanizam |
Publisher | Infinite Study |
Pages | 18 |
Release | |
Genre | Mathematics |
ISBN |
In this manuscript, we extend the traditional multi-attributive border approximation area comparison (MABAC) method for the multiple-criteria group decision-making (MCGDM) with triangular fuzzy neutrosophic numbers (TFNNs) to propose the TFNNs-MABAC method.