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The Encyclopedia of Neutrosophic Researchers, Vol. I
This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.
FUZZY NEUTROSOPHIC SUBGROUPS
In this paper we introduce the notion of fuzzy neutrosophic subgroups. Also we obtain the fuzzy neutrosophic subgroups generated by fuzzy neutrosophic set and investigate some of their properties.
Fuzzy Neutrosophic Relations
The focus of this paper is to present the concept of fuzzy neutrosophic relations. Further we study the composition of fuzzy neutrosophic relations with the choice of t-norms and t-conorms and characterize their properties.
APPLICATION OF FUZZY NEUTROSOPHIC RELATION IN DECISION MAKING
In this paper a new approach is proposed to meet the challenges in medical diagnosis using fuzzy neutrosophic composition relation.
The Alexandrov-Urysohn Compactness On Single Valued Neutrosophic S∗Centered Systems
In this paper we present the notion of the single valued neutrosophic S∗ maximal compact extension in single valued neutrosophic S∗ centered system. Moreover, the concept of single valued neutrosophic S∗ absolute is applied to establish the Alexandrov -Urysohn compactness criterion. Some of the basic properties are characterized.
Neutrosophic Sets and Systems, vol. 11/2016
“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. 49/2022
“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
Hausdorff Extensions in Single Valued Neutrosophic S∗ Centered Systems
This paper explores the concept of single valued neutrosophic S∗ open sets in single valued neutrosophic S∗ centered system. Also the characterization of Hausdorff extensions of spaces in single valued neutrosophic S∗ centered systems are established.
Neutrosophic Fuzzy Ideals of Near-Rings
In this paper, the notion of Neutrosophic fuzzy ideals of near-rings are introduced and discussed some algebraic properties like union ,intersection , homomorphic image and preimage of neutrosophic fuzzy ideals of near-rings. Further we discuss about the direct product of Neutrosophic fuzzy ideals of near-rings .
Fuzzy neutrosophic Soft Ideal Theory Fuzzy neutrosophic Soft Local Function and Generated Fuzzy neutrosophic Soft Topological Spaces
The purpose of this paper is to introduce the notion of fuzzy neutrosophic soft ideal in fuzzy neutrosophic soft set theory. The concept of fuzzy neutrosophic soft local function is also introduced. These concepts are discussed with a view to find new fuzzy neutrosophic soft topologies from the original one. The basic structure, especially a basis for such generated fuzzy neutrosophic soft topologies also studied here. Finally, the notion of compatibility of fuzzy neutrosophic soft ideals with fuzzy neutrosophic soft topologies is introduced and some equivalent conditions concerning this topic are established here.
