S. A. Alblowi

Bio: S. A. Alblowi is an academic researcher from King Abdulaziz University. The author has contributed to research in topics: Topological space & Fuzzy set. The author has an hindex of 9, co-authored 15 publications receiving 656 citations.

Neutrosophic Set and Neutrosophic Topological Spaces

Abstract: Neutrosophy has been introduced by Smarandache (7, 8) as a new branch of philosophy. The purpose of this paper is to construct a new set theory called the neutrosophic set. After given the fundamental definitions of neutrosophic set operations, we obtain several properties, and discussed the relationship between neutrosophic sets and others. Finally, we extend the concepts of fuzzy topological space (4), and intuitionistic fuzzy topological space (5, 6) to the case of neutrosophic sets. Possible application to superstrings and  

Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces

Abstract: In this paper we introduce definitions of generalized neutrosophic sets. After given the fundamental defin itions of generalized neutrosophic set operations, we obtain several properties, and discussed the relationship between generalized neutrosophic sets and others. Finally, we extend the concepts of neutrosophic topological space (9), intuition istic fuzzy topological space (5, 6), and fu zzy topological space (4) to the case of generalized neutrosophic sets. Possible applicat ion to GIS topology rules are touched upon.

Neutrosophic Set and Neutrosophic Topological Spaces

Abstract: Neutrosophy has been introduced by Smarandache [7, 8] as a new branch of philosophy. The purpose of this paper is to construct a new set theory called the neutrosophic set. After given the fundamental definitions of neutrosophic set operations, we obtain several properties, and discussed the relationship between neutrosophic sets and others. Finally, we extend the concepts of fuzzy topological space [4], and intuitionistic fuzzy topological space [5, 6] to the case of neutrosophic sets. Possible application to superstrings and   space–time are touched upon.

New concepts of neutrosophic sets

Abstract: In this paper we will introduce and study some types of neutrosophic sets (NS for short). Finally, we extend the concept of intuitionistic fuzzy ideal [8] to the case of neutrosophic sets . We can use the new of neutrosophic notions in the following applications: compiler, networks robots, codes and database.

The Characteristic Function of a Neutrosophic Set

Abstract: The purpose of this paper is to introduce and study the characteristic function of a neutrosophic set. After given the fundamental definitions of neutrosophic set operations generated by the characteristic function of a neutrosophic set ( for short), we obtain several properties, and discussed the relationship between neutrosophic sets generated by

On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces

Abstract: In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we discuss some applications of generalized neutrosophic pre-closed sets, namely neutrosophic p T 1 2 space and neutrosophic g p T 1 2 space. The concepts of generalized neutrosophic connected spaces, generalized neutrosophic compact spaces and generalized neutrosophic extremally disconnected spaces are established. Some interesting properties are investigated in addition to giving some examples.

Complex Neutrosophic Set

Abstract: Complex fuzzy sets and complex intuitionistic fuzzy sets cannot handle imprecise, indeterminate, inconsistent, and incomplete information of periodic nature. To overcome this difficulty, we introduce complex neutrosophic set.

Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces

Abstract: In this paper we introduce definitions of generalized neutrosophic sets. After given the fundamental defin itions of generalized neutrosophic set operations, we obtain several properties, and discussed the relationship between generalized neutrosophic sets and others. Finally, we extend the concepts of neutrosophic topological space (9), intuition istic fuzzy topological space (5, 6), and fu zzy topological space (4) to the case of generalized neutrosophic sets. Possible applicat ion to GIS topology rules are touched upon.

Multi-criteria decision-making method based on single-valued neutrosophic linguistic Maclaurin symmetric mean operators

Abstract: This paper investigates a wide range of generalized Maclaurin symmetric mean (MSM) aggregation operators, such as the generalized arithmetic MSM and the generalized geometric MSM, whose predominant characteristic is capturing the interrelationships among multi-input arguments. The single-valued neutrosophic linguistic set plays an essential role in decision making, which can serve as an extension of either a linguistic term set or a single-valued neutrosophic set. This study centers on multi-criteria decision-making (MCDM) issues in which criteria are weighed differently and criteria values are expressed as single-valued neutrosophic linguistic numbers. Based on this foundation, we extend a series of MSM aggregation techniques under single-valued neutrosophic linguistic environments and propose procedures for solving MCDM problems. We also explore the influence of parameters on aggregation results. Finally, we provide a practical example and conduct a comparison analysis between the proposed approach and other existing methods in order to verify the proposed approach and demonstrate its validity.

Complex neutrosophic set

Abstract: Complex fuzzy sets and complex intuitionistic fuzzy sets cannot handle imprecise, indeterminate, inconsistent, and incomplete information of periodic nature. To overcome this difficulty, we introduce complex neutrosophic set. A complex neutrosophic set is a neutrosophic set whose complex-valued truth membership function, complex-valued indeterminacy membership function, and complex-valued falsehood membership functions are the combination of real-valued truth amplitude term in association with phase term, real-valued indeterminate amplitude term with phase term, and real-valued false amplitude term with phase term, respectively. Complex neutrosophic set is an extension of the neutrosophic set. Further set theoretic operations such as complement, union, intersection, complex neutrosophic product, Cartesian product, distance measure, and ź-equalities of complex neutrosophic sets are studied here. A possible application of complex neutrosophic set is presented in this paper. Drawbacks and failure of the current methods are shown, and we also give a comparison of complex neutrosophic set to all such methods in this paper. We also showed in this paper the dominancy of complex neutrosophic set to all current methods through the graph.