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Neutrosophic Crisp Set Theory [PDF]

open access: yesNeutrosophic Sets and Systems, 2014
The purpose of this paper is to introduce new types of neutrosophic crisp sets with three types 1, 2, 3. After given the fundamental definitions and operations, we obtain several properties, and discussed the relationship between neutrosophic crisp sets ...
A. A. Salama, Florentin Smarandache
doaj   +20 more sources

Filters via Neutrosophic Crisp Sets [PDF]

open access: yesNeutrosophic Sets and Systems, 2013
In this paper we introduce the notion of filter on the neutrosophic crisp set, then we consider a generalization of the filter’s studies. Afterwards, we present the important neutrosophic crisp filters.
A. A. Salama, Florentin Smarandache
doaj   +8 more sources

Topological Manifold Space via Neutrosophic Crisp Set Theory [PDF]

open access: yesNeutrosophic Sets and Systems, 2017
In this paper, we introduce and study a neutrosophic crisp manifold as a new topological structure of manifold via neutrosophic crisp set. Therefore, we study some new topological concepts and some metric distances on a neutrosophic crisp manifold.
A.A. Salama   +2 more
doaj   +5 more sources

New Types of Neutrosophic Crisp Closed Sets [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
The neutrosophic sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these the concepts to define a new types of neutrosophic crisp closed sets and limit points in neutrosophic ...
Ahmed B. Al-Nafee   +2 more
doaj   +2 more sources

On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
In this paper, we analyze the basic algebraic operations of neutrosophic crisp sets and their properties, show that some operations of neutrosophic crisp sets with type 2 and type 3 are not closed by counter examples, and give some new operations.
Xiaohong Zhang, Mengyuan Li, Tao Lei
doaj   +2 more sources

Standard Neutrosophic Soft Theory: Some First Results [PDF]

open access: yesNeutrosophic Sets and Systems, 2016
The traditional soft set is a mapping from a parameter set to family of all crisp subsets of a universe. Molodtsov introduced the soft set as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects.
Bui Cong Cuong   +2 more
doaj   +8 more sources

Neutrosophic bg-closed Sets and its Continuity [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
Smarandache introduced and developed the new concept of Neutrosophic set from the Intuitionistic fuzzy sets. A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets.
C. Maheswari
doaj   +3 more sources

Rough Standard Neutrosophic Sets: An Application on Standard Neutrosophic Information Systems [PDF]

open access: yesNeutrosophic Sets and Systems, 2016
A rough fuzzy set is the result of the approximation of a fuzzy set with respect to a crisp approximation space. It is a mathematical tool for the knowledge discovery in the fuzzy information systems.
Nguyen Xuan Thao   +2 more
doaj   +6 more sources

Solving fully neutrosophic linear programming problem with application to stock portfolio selection [PDF]

open access: yesCroatian Operational Research Review, 2020
Neutrosophic set is considered as a generalized of crisp set, fuzzy set, and intuitionistic fuzzy set for representing the uncertainty, inconsistency, and incomplete knowledge about the real world problems.
Hamiden Abd El-Wahed Khalifa   +1 more
doaj   +2 more sources

Stable Neutrosophic Crisp Open Modulo Stable Neutrosophic Crisp Nowhere Dense Sets [PDF]

open access: yesNeutrosophic Sets and Systems
Using the symmetric difference between the neutrosophic crisp set (NC–set) and stable Neutrosophic crisp open set ( SNCO–set). It represents the complement of the quotient of the NC–set, SNCO–set, vice versa and linking with the family of stable ...
Ali Younis Shakir   +2 more
doaj   +2 more sources

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