Author: Florentin Smarandache (editor)
Publisher: Infinite Study
ISBN: 1599734982
Category : Neutrosophic logic
Languages : en
Pages : 426

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Book Description
Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structure such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been a very important tool in all various areas of data mining, decision making, e-learning, engineering, medicine, social science, and some more. The book “New Trends in Neutrosophic Theories and Applications” focuses on theories, methods, algorithms for decision making and also applications involving neutrosophic information. Some topics deal with data mining, decision making, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more. 30 papers by 39 authors and coauthors.

Author: A. A. Salama
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 5

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Book Description
In this paper, we introduce and study the concept of "neutrosophic closed set "and "neutrosophic continuous function". Possible application to GIS topology rules are touched upon.

Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 143

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Book Description
“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.

Author: Wadei Al-Omeri
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 12

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Book Description
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 pT12 space and neutrosophic gpT12 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.

Author: T. Madhumathi
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 9

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Book Description
Many real time problems are based on uncertainity and chaotic environment. To demonstrate this ambiguous suitua-tion more precisely we intend to amalgamate the ideas of chaos theory and neutrosophy. Neutrosophy is a flourishing arena which conceptualizes the notions of true, falsity and indeterminacy attributes of an event. Chaos theory is another branch which brings out the concepts of periodic point, orbit and sensitive of a set. Hence in this paper we focus on the introducing the idea of chaotic periodic points, orbit sets, sensitive functions under neutrosophic settings. We start with defining a neutrosoph-ic chaotic space and enlist its properties, As a futher extension we coin neutrosophic chaotic continuous functions and discuss its charaterizations and their interrelationships. We have also illustrated the above said concepts with suitable examples.

Author: Suman Das
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13

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Book Description
We introduce the notion of neutrosophic Φ-open set and neutrosophic Φ-continuous mapping via neutrosophic topological spaces and investigate several properties of it. By defining neutrosophic Φ -open set, neutrosophic Φ -continuous mapping, and neutrosophic Φ –open mapping, we prove some remarks, theorems on neutrosophic topological spaces.

Author: R. Dhavaseelan
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 7

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Book Description
This study utilizes the notions of ℵ-α-open set to introduce and study new form of ℵ -ccontinuity termed as ℵ -almost contra α-continuous function. Besides, we also introduce ℵ𝛼 -connected space, ℵ -weakly Hausdorff space, separation axioms, ℵ𝛼 -normal and ℵ -strong normal spaces. Characterizations of ℵ-almost contra α-continuous functions is also discussed.

Author: M. Parimala
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 11

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Book Description
Neutrosophic topological space is an generalization of intuitionistic topological space and each neutrosophic set in neutrosophic topological space is triplet set. Intuitionistic topological set deals membership and non-membership values of each variable in open and closed functions and in neutrosophic topology inderterminacy of the same variable has not discussed in the previous work.

Author: M. Parimala
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13

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Book Description
In this paper, we introduce and investigate a new class of sets and functions between topological space called neutrosophic supra pre- continious functions. Furthermore, the concepts of neutro- sophic supra pre-open maps and neutrosophic supra pre-closed maps in terms of neutrosophic supra pre-open sets and neutrosophic supra pre-closed sets, respectively, are introduced and several prop- erties of them are investigated.

Author: D. SAVITHIRI
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10

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Book Description
In this paper we introduce the concept of neutrosophic rw-continuity, neutrosophic rw-open maps and closed maps in neutrosophic topological spaces and some of their properties are discussed.