On Some Properties Of Plithogenic Neutrosophic Hypersoft Almost Topological Group

Author : Bhimraj Basumatary,Nijwm Wary,Muhammad Saeed,Muhammad Saqlain
Publisher : Infinite Study
Page : 11 pages
File Size : 47,7 Mb
Release : 2021-06-02
Category : Mathematics
ISBN : 8210379456XXX

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On Some Properties of Plithogenic Neutrosophic Hypersoft Almost Topological Group by Bhimraj Basumatary,Nijwm Wary,Muhammad Saeed,Muhammad Saqlain Pdf

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,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 311 pages
File Size : 55,6 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 43, 2021 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“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 : S. Sudha,Nivetha Martin,Florentin Smarandache
Publisher : Infinite Study
Page : 28 pages
File Size : 45,6 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Applications of Extended Plithogenic Sets in Plithogenic Sociogram by S. Sudha,Nivetha Martin,Florentin Smarandache Pdf

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 : Sudipta Gayen,Florentin Smarandache,Sripati Jha,Manoranjan Kumar Singh,Said Broumi,Ranjan Kumar
Publisher : Infinite Study
Page : 26 pages
File Size : 41,9 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Introduction to Plithogenic Hypersoft Subgroup by Sudipta Gayen,Florentin Smarandache,Sripati Jha,Manoranjan Kumar Singh,Said Broumi,Ranjan Kumar Pdf

In this article, some essential aspects of plithogenic hypersoft algebraic structures have been analyzed. Here the notions of plithogenic hypersoft subgroups i.e. plithogenic fuzzy hypersoft subgroup, plithogenic intuitionistic fuzzy hypersoft subgroup, plithogenic neutrosophic hypersoft subgroup have been introduced and studied. For doing that we have rede ned the notions of plithogenic crisp hypersoft set, plithogenic fuzzy hypersoft set, plithogenic intuitionistic fuzzy hypersoft set, and plithogenic neutrosophic hypersoft set and also given their graphical illustrations. Furthermore, by introducing function in di erent plithogenic hypersoft environments, some homomorphic properties of plithogenic hypersoft subgroups have been analyzed.

Author : Moiz ud Din Khan,Naureen Bibi,A.A. Salama
Publisher : Infinite Study
Page : 14 pages
File Size : 45,8 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Topological Groups by Moiz ud Din Khan,Naureen Bibi,A.A. Salama Pdf

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 : Dongsik Jo,S. Saleh,Jeong-Gon Lee, Kul Hur,Chen Xueyou
Publisher : Infinite Study
Page : 30 pages
File Size : 53,9 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Topological Structures via Interval-Valued Neutrosophic Crisp Sets by Dongsik Jo,S. Saleh,Jeong-Gon Lee, Kul Hur,Chen Xueyou Pdf

In this paper, we introduce the new notion of interval-valued neutrosophic crisp sets providing a tool for approximating undefinable or complex concepts in real world. First, we deal with some of its algebraic structures. We also define an interval-valued neutrosophic crisp (vanishing) point and obtain some of its properties. Next, we define an interval-valued neutrosophic crisp topology, base (subbase), neighborhood, and interior (closure), respectively and investigate some of each property, and give some examples. Finally, we define an interval-valued neutrosophic crisp continuity and quotient topology and study some of each property.

Author : Bhimraj Basumatary,Nijwm Wary
Publisher : Infinite Study
Page : 15 pages
File Size : 52,8 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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A Study on Neutrosophic Bitopological Group by Bhimraj Basumatary,Nijwm Wary Pdf

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 : Unknown
Page : 110 pages
File Size : 40,6 Mb
Release : 1998
Category : Mathematics
ISBN : STANFORD:36105112484626

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Neutrosophy by Florentin Smarandache Pdf

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 10 pages
File Size : 50,7 Mb
Release : 2010-08-23
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by Florentin Smarandache Pdf

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.

Author : Abdel-Nasser Hussian,Mai Mohamed,Mohamed Abdel-Baset,Florentin Smarandache
Publisher : Infinite Study
Page : 13 pages
File Size : 50,5 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Linear Programming Problems by Abdel-Nasser Hussian,Mai Mohamed,Mohamed Abdel-Baset,Florentin Smarandache Pdf

Smarandache presented neutrosophic theory as a tool for handling undetermined information. Wang et al. introduced a single valued neutrosophic set that is a special neutrosophic sets and can be used expediently to deal with real-world problems, especially in decision support.

Author : Florentin Smarandache,Muhammad Saeed,Muhammad Saqlain,Mohamed Abdel-Baset
Publisher : Infinite Study
Page : 246 pages
File Size : 47,8 Mb
Release : 2021-02-01
Category : Mathematics
ISBN : 8210379456XXX

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Theory and Application of Hypersoft Set by Florentin Smarandache,Muhammad Saeed,Muhammad Saqlain,Mohamed Abdel-Baset Pdf

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 : Vasantha Kandasamy, Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 45,8 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9781599733623

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Neutrosophic Graphs: A New Dimension to Graph Theory by Vasantha Kandasamy, Ilanthenral K,Florentin Smarandache Pdf

Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.

Author : Murad Arar,Saeid Jafari
Publisher : Infinite Study
Page : 16 pages
File Size : 41,8 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Topological Spaces by Murad Arar,Saeid Jafari Pdf

In this paper, the concept of neutrosophic topological spaces is introduced. We define and study the properties of neutrosophic open sets, closed sets, interior and closure. The set of all generalize neutrosophic pre-closed sets GNPC and the set of all neutrosophic open sets in a neutrosophic topological space can be considered as examples of generalized neutrosophic topological spaces.

Author : Broumi Said,Florentin Smarandache
Publisher : Infinite Study
Page : 11 pages
File Size : 40,5 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Intuitionistic Neutrosophic Soft Set by Broumi Said,Florentin Smarandache Pdf

In this paper we study the concept of intuitionistic neutrosophic set of Bhowmik and Pal. We have introduced this concept in soft sets and defined intuitionistic neutrosophic soft set. Some definitions and operations have been introduced on intuitionistic neutrosophic soft set. Some properties of this concept have been established.

Author : Mujahid Abbas,Ghulam Murtaza,Florentin Smarandache
Publisher : Infinite Study
Page : 15 pages
File Size : 52,7 Mb
Release : 2020-05-01
Category : Mathematics
ISBN : 8210379456XXX

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Basic operations on hypersoft sets and hypersoft point by Mujahid Abbas,Ghulam Murtaza,Florentin Smarandache Pdf

The aim of this paper is to initiat formal study of hypersoft sets. We first, present basic operations like union, intersection and difference of hypersoft sets; basic ingredients for topological structures on the collection of hypersoft sets.