Intuitionistic neutrosophic crisp sets and their application to topology
Intuitionistic neutrosophic crisp sets and their application to topology

Author: J. Kim

Publisher: Infinite Study

Published:

Total Pages: 21

ISBN-13:

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In this paper, we introduce the new notion of intuitionistic neutrosophic crisp sets as a tool for approximating undefinable or complex concepts in real world. First, we deal with some of its algebraic structures. Next, we define an intuitionistic neutrosophic crisp topology, base (subbase) and interior (closure), respectively and investigate some of each properties, and give some examples. Finally, we discussed various intuitionistic neutrosophic crisp continuities.

Topological Structures via Interval-Valued Neutrosophic Crisp Sets
Topological Structures via Interval-Valued Neutrosophic Crisp Sets

Author: Dongsik Jo

Publisher: Infinite Study

Published:

Total Pages: 29

ISBN-13:

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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.

Topological Structures via Interval-Valued Neutrosophic Crisp Sets
Topological Structures via Interval-Valued Neutrosophic Crisp Sets

Author: Dongsik Jo

Publisher: Infinite Study

Published:

Total Pages: 30

ISBN-13:

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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.

Neutrosophic Theory and Its Applications, Vol. I
Neutrosophic Theory and Its Applications, Vol. I

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2014-12-01

Total Pages: 482

ISBN-13: 159973320X

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This volume contains 45 papers, written by the author alone or in collaboration with the following co-authors: Mumtaz Ali, Said Broumi, Sukanto Bhattacharya, Mamoni Dhar, Irfan Deli, Mincong Deng, Alexandru Gal, Valeri Kroumov, Pabitra Kumar Maji, Maikel Leyva-Vazquez, Feng Liu, Pinaki Majumdar, Munazza Naz, Karina Perez-Teruel, Rıdvan Sahin, A. A. Salama, Muhammad Shabir, Rajshekhar Sunderraman, Luige Vladareanu, Magdalena Vladila, Stefan Vladutescu, Haibin Wang, Hongnian Yu, Yan-Qing Zhang.

On neutrosophic sets and topology
On neutrosophic sets and topology

Author: FRANCISCO GALLEGO LUPIAÑEZ

Publisher: Infinite Study

Published:

Total Pages: 9

ISBN-13:

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Recently, F.Smarandache generalized the Atanassov's intuitionistic fuzzy sets and other kinds of sets to neutrosophic sets. Also, this author defined the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology on an IFS and the neutrosophic topology. We show in this work that this is false.

NEUTROSOPHIC REGULAR GENERALIZED STAR b-CLOSED SETS IN NEUTROSOPHIC TOPOLOGICAL SPACES
NEUTROSOPHIC REGULAR GENERALIZED STAR b-CLOSED SETS IN NEUTROSOPHIC TOPOLOGICAL SPACES

Author: G.Sindhu

Publisher: Infinite Study

Published:

Total Pages: 7

ISBN-13:

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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. In this paper we introduce and study about Neutrosophic Regular Generalized Star b Closed sets in Neutrosophic Topological Spaces and its properties are discussed.

Neutrosophic Sets and Systems, Vol. VII
Neutrosophic Sets and Systems, Vol. VII

Author: Florentin Smarandache, Mumtaz Ali

Publisher: Infinite Study

Published: 2015-02-01

Total Pages: 90

ISBN-13: 1599733323

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Twelve papers on soft interval-valued neutrosophic rough sets, fuzzy neutosophic relation equations with geometric programming, rough neutrosophic multi-attribute decision-making, classes of neutrosophic crisp nearly open sets and possible application to GIS topology, neutrosophic probability in physics, and similar topics. Contributors: H. E. Khalid, K. Mondal, S. Pramanik, A. A. Salama, S. Broumi, F. Smarandache, F. Yuhua, M. Ali, M. Shabir, V. Patrascu, S. Ye, J. Fu, J. Ye, A. Hussain, and L. Vladareanu.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019
Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 200

ISBN-13: 1599735997

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“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.