On Some Properties Of Plithogenic Neutrosophic Hypersoft Almost Topological Group PDF Download
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| Author | : Bhimraj Basumatary |
| Publisher | : Infinite Study |
| Total Pages | : 11 |
| Release | : 2021-06-02 |
| Genre | : Mathematics |
| ISBN | : |
Download On Some Properties of Plithogenic Neutrosophic Hypersoft Almost Topological Group Book in PDF, ePub and Kindle
The main objective of this study is to introduce the notion of plithogenic neutrosophic hypersoft almost topological group. We have defined some new concepts and investigated properties of regularly open set and regularly closed set and then we observed the definitions of plithogenic neutrosophic hypersoft closed mapping, open mapping and finally we have defined the definition of plithogenic neutrosophic hypersoft almost continuous mapping. By observing the definition of plithogenic neutrosophic hypersoft almost continuous mapping we have studied neutrosophic hypersoft topological group and plithogenic neutrosophic hypersoft almost topological group and some of their properties.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 311 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download Neutrosophic Sets and Systems, Vol. 43, 2021 Book in PDF, ePub and Kindle
“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. In this issue: On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology, New Results on Pythagorean Neutrosophic Open Sets in Pythagorean Neutrosophic Topological Spaces, Comparative Mathematical Model for Predicting of Financial Loans Default using Altman Z-Score and Neutrosophic AHP Methods.
| Author | : Moiz ud Din Khan |
| Publisher | : Infinite Study |
| Total Pages | : 14 |
| Release | : |
| Genre | : |
| ISBN | : |
Download Neutrosophic Topological Groups Book in PDF, ePub and Kindle
In this work we continue the study of topological group structure of neutrosophic sets. Some basic properties of neutrosophic topological groups are investigated by giving an alternate de…nition for neutrosophic topological group. It is proved that automorphism of neutrosophic topological groups is neutrosophic homeomorphism.
| Author | : S. Sudha |
| Publisher | : Infinite Study |
| Total Pages | : 28 |
| Release | : 2023-01-01 |
| Genre | : Mathematics |
| ISBN | : |
Download Applications of Extended Plithogenic Sets in Plithogenic Sociogram Book in PDF, ePub and Kindle
The theory of plithogeny developed by Smarandache is described as a more generalized form of representing sets of different nature such as crisp, fuzzy, intuitionistic and neutrosophic. Plithogenic set comprises degree of appurtenance and contradiction degree with respect only to the dominant attribute. This paper introduces extended plithogenic sets comprising degrees of appurtenance and contradiction with respect to both dominant and recessive attributes. The extension of the 5-tuple Plithogenic sets to a 7- tuple plithogenic sets helps in developing a more comprehensive kind of Plithogenic sociogram. The newly developed plithogenic sets and its implications in Plithogenic sociogram is validated by the decision making problem on food processing industries. The obtained results using extended plithogenic sets are more promising in comparison to the conventional plithogenic sets. The proposed kind of plithogenic sets will benefit the decision makers to make optimal decisions based on both optimistic and pessimistic approaches.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 143 |
| Release | : 2017-10-01 |
| Genre | : Mathematics |
| ISBN | : |
Download Plithogeny, Plithogenic Set, Logic, Probability, and Statistics Book in PDF, ePub and Kindle
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 | : Muhammad Rayees Ahmad |
| Publisher | : Infinite Study |
| Total Pages | : 23 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Download A Novel MCDM Method Based on Plithogenic Hypersoft Sets under Fuzzy Neutrosophic Environment Book in PDF, ePub and Kindle
In this paper, we advance the study of plithogenic hypersoft set (PHSS).We present four classifications of PHSS that are based on the number of attributes chosen for application and the nature of alternatives or that of attribute value degree of appurtenance. These four PHSS classifications cover most of the fuzzy and neutrosophic cases that can have neutrosophic applications in symmetry. We also make explanations with an illustrative example for demonstrating these four classifications. We then propose a novel multi-criteria decision making (MCDM) method that is based on PHSS, as an extension of the technique for order preference by similarity to an ideal solution (TOPSIS).
| Author | : Florentin Smarandache |
| Publisher | : |
| Total Pages | : 110 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : |
Download Neutrosophy Book in PDF, ePub and Kindle
| Author | : Bhimraj Basumatary |
| Publisher | : Infinite Study |
| Total Pages | : 15 |
| Release | : 2020-12-01 |
| Genre | : Mathematics |
| ISBN | : |
Download A Study on Neutrosophic Bitopological Group Book in PDF, ePub and Kindle
In this paper we try to introduce neutrosophic bitopological group. We try to investigate some new definition and properties of neutrosophic bitopological group.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 246 |
| Release | : 2021-02-01 |
| Genre | : Mathematics |
| ISBN | : |
Download Theory and Application of Hypersoft Set Book in PDF, ePub and Kindle
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.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 10 |
| Release | : 2010-08-23 |
| Genre | : Mathematics |
| ISBN | : |
Download Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set Book in PDF, ePub and Kindle
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
