About Rough Neutrosophic Soft Sets Theory And Study Their Properties

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About Rough Neutrosophic Soft Sets Theory and Study Their Properties

Author : Somen Debnath
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis About Rough Neutrosophic Soft Sets Theory and Study Their Properties by : Somen Debnath

Download or read book About Rough Neutrosophic Soft Sets Theory and Study Their Properties written by Somen Debnath and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earlier fuzzy set, vague set, intuitionistic fuzzy set, L-fuzzy set etc are used as a mathematical tools for solving problems based on uncertainties or ambiguous in nature. But due to more complexity involves in problems exist in nature, traditional tools are unable to handle those in a systematic manner. So we need a tool which is more flexible to handle those problems. Which leads to the invention of soft set which was introduced by Molodtsov in 1999. Soft set (SS) theory is a mathematical tool deals with parametric data which are imprecise in nature. Ithis a generalization of fuzzy set theory. On the other hand Rough set (RS) theory and Neutrosophic set (NS) theory both rising as a powerful tool to handle these uncertain, incomplete, inconsistent and imprecise information in an effective manner. Actually Neutrosophic set is a generalization of intuitionistic fuzzy set. Sometimes it is not possible to handle all sorts of uncertain problems with a single mathematical tool. Fusion of two or more mathematical tools give rise to a new mathematical concept which gives an idea how to solve such type of problems in a more sophisticated ways. Which leads to the introduction of fuzzy soft set, rough soft set, intuitionistic fuzzy soft set, soft rough set etc. Neutrosophic soft set (NSS) was established by combining the concept of Soft set and Neutrosophic set. In this paper, using the concept of Rough set and Neutrosophic soft set a new concept known as Rough neutrosophic soft set (RNSS) is developed. Some properties and operations on them are introduced.

Neutrosophic soft set

Author : Pabitra Kumar Maji
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic soft set by : Pabitra Kumar Maji

Download or read book Neutrosophic soft set written by Pabitra Kumar Maji and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we study the concept of neutrosophic set of Smarandache. We have introduced this concept in soft sets and deﬁned neutrosophic soft set. Some deﬁnitions and operations have been introduced on neutrosophic soft set. Some properties of this concept have been established.

ROUGH NEUTROSOPHIC SOFT SETS

Author : Somen Debnath
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis ROUGH NEUTROSOPHIC SOFT SETS by : Somen Debnath

Download or read book ROUGH NEUTROSOPHIC SOFT SETS written by Somen Debnath and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Soft set(SS) theory is a mathematical tool deals with parametric data which are imprecise in nature.It is a generalization of fuzzy set theory. On the other hand Rough set(RS) theory and Neutrosophic set (NS)theory both rising as powerful tool to handle uncertain, incomplete, inconsistent and imprecise information in an effective manner.Actually Neutrosophic set is a generalization of intuitionistic fuzzy set.Earlier Neutrosophic soft set(NSS) was established by combining the concept of Soft set and Neutrosophic set .In this paper , using the concept of Rough set,Neutrosophic set and soft set a hybrid structure Rough neutrosophic soft sets(RNSS) is developed.Some properties and operations on RNSS are introduced.

Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application

Author : Emad Marei
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application by : Emad Marei

Download or read book Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application written by Emad Marei and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper aims to introduce a single valued neutrosophic soft approach to rough sets based on neutrosophic right minimal structure. Some of its properties are deduced and proved. A comparison between traditional rough model and suggested model, by using their properties is concluded to show that Pawlak’s approach to rough sets can be viewed as a special case of single valued neutrosophic soft approach to rough sets.

Rough Neutrosophic Sets

Author : Said Broumi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4./5 ( download)

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Book Synopsis Rough Neutrosophic Sets by : Said Broumi

Download or read book Rough Neutrosophic Sets written by Said Broumi and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information .In this paper we develop an hybrid structure called “ rough neutrosophic sets” and studied their properties.

Neutrosophic Sets and Systems, book series, Vol. 16, 2017

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599735261
Total Pages : pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Sets and Systems, book series, Vol. 16, 2017 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, book series, Vol. 16, 2017 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributors to current issue (listed in papers' order): Ferhat Taș, Selçuk Topal, P. Iswarya, Dr. K. Bageerathi, I. Arokiarani, R. Dhavaseelan, S. Jafari, M. Parimala, R. Narmada Devi, Md. Hanif Page, R. Cabezas Padilla, J. González Ruiz, M. Villegas Alava, M. Leyva Vázquez, Okpako Abugor Ejaita, Asagba P.O., F. Smarandache, Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy, Eman.M.El-Nakeeb, Hewayda ElGhawalby, A.A. Salama, S.A.El-Hafeez, Kanika Bhutani, Swati Aggarwal, N. Abbas, Y. Chibani, B. Hadjadji, Z. A. Omar, Suriana Alias, Daud Mohamad, Adibah Shuib, E. J. Henríquez Antepara, J. E. Arízaga Gamboa, M. R. Campoverde Méndez, M. E. Peña González, Nguyen Xuan Thao, Nguyen Van Dinh. Papers in current issue (listed in papers' order): Bèzier Curve Modeling for Neutrosophic Data Problem; A Study on Neutrosophic Frontier and Neutrosophic Semi-frontier in Neutrosophic Topological Spaces; On Some New Notions and Functions in Neutrosophic Topological Spaces; Neutrosophic Baire Spaces; A Knowledge-based Recommendation Framework using SVN Numbers; An Improved Framework for Diagnosing Confusable Diseases Using Neutrosophic Based Neural Network; Compact Open Topology and Evaluation Map via Neutrosophic Sets; On Neutrosophic Semi-Supra Open Set and Neutrosophic Semi-Supra Continuous Functions; Neutrosophic Cubic MCGDM Method Based on Similarity Measure; Neutrosophic Crisp Mathematical Morphology; Neutrosophic Rough Soft Set - A Decision Making Approach to Appendicitis Problem; PCR5 and Neutrosophic Probability in Target Identification (revisited); Rough Neutrosophic Multisets; Competencies Interdepencies Analysis based on Neutrosophic Cognitive Mapping; Support-Neutrosophic Set: A New Concept in Soft Computing.

A Novel Approach to Neutrosophic Soft Rough Set under Uncertainty

Author : Ashraf Al-Quran
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis A Novel Approach to Neutrosophic Soft Rough Set under Uncertainty by : Ashraf Al-Quran

Download or read book A Novel Approach to Neutrosophic Soft Rough Set under Uncertainty written by Ashraf Al-Quran and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: To handle indeterminate and incomplete data, neutrosophic logic/set/probability were established. The neutrosophic truth, falsehood and indeterminacy components exhibit symmetry as the truth and the falsehood look the same and behave in a symmetrical way with respect to the indeterminacy component which serves as a line of the symmetry. Soft set is a generic mathematical tool for dealing with uncertainty. Rough set is a new mathematical tool for dealing with vague, imprecise, inconsistent and uncertain knowledge in information systems. This paper introduces a new rough set model based on neutrosophic soft set to exploit simultaneously the advantages of rough sets and neutrosophic soft sets in order to handle all types of uncertainty in data. The ideaof neutrosophic right neighborhood is utilised to define the concepts of neutrosophic soft rough (NSR) lower and upper approximations. Properties of suggested approximations are proposed and subsequently proven. Some of the NSR set concepts such as NSR-definability, NSR-relations and NSR-membership functions are suggested and illustrated with examples. Further, we demonstrate the feasibility of the newly rough set model with decision making problems involving neutrosophic soft set. Finally, a discussion on the features and limitations of the proposed model is provided.

Author :
Publisher :
ISBN 13 : 1599733811
Total Pages : pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis by :

Download or read book written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neutrosophic Theory and Its Applications, Vol. I

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 159973320X
Total Pages : 482 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Theory and Its Applications, Vol. I by : Florentin Smarandache

Download or read book Neutrosophic Theory and Its Applications, Vol. I written by Florentin Smarandache and published by Infinite Study. This book was released on 2014-12-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications

Download New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications PDF Online Free

Author : Florentin Smarandache
Publisher : MDPI
ISBN 13 : 3039219383
Total Pages : 714 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications by : Florentin Smarandache

Download or read book New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications written by Florentin Smarandache and published by MDPI. This book was released on 2019-11-27 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.

More on Intuitionistic Neutrosophic Soft Sets

Author : Said Broumi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis More on Intuitionistic Neutrosophic Soft Sets by : Said Broumi

Download or read book More on Intuitionistic Neutrosophic Soft Sets written by Said Broumi and published by Infinite Study. This book was released on 2013-08-10 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitionistic Neutrosophic soft set theory proposed by S. Broumi and F. Smarandache, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper new operations on intuitionistic neutrosophic soft sets have been introduced. Some results relating to the properties of these operations have been established. Moreover, we illustrate their interconnections between each other.

Neutrosophic Sets and Systems, vol. 16/2017

Author : FLORENTIN SMARANDACHE
Publisher : Infinite Study
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 16/2017 by : FLORENTIN SMARANDACHE

Download or read book Neutrosophic Sets and Systems, vol. 16/2017 written by FLORENTIN SMARANDACHE and published by Infinite Study. This book was released on with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.

Soft Rough Neutrosophic Influence Graphs with Application

Author : Hafsa Masood Malik
Publisher : Infinite Study
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4./5 ( download)

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Book Synopsis Soft Rough Neutrosophic Influence Graphs with Application by : Hafsa Masood Malik

Download or read book Soft Rough Neutrosophic Influence Graphs with Application written by Hafsa Masood Malik and published by Infinite Study. This book was released on with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we apply the notion of soft rough neutrosophic sets to graph theory. We develop certain new concepts, including soft rough neutrosophic graphs, soft rough neutrosophic influence graphs, soft rough neutrosophic influence cycles and soft rough neutrosophic influence trees. We illustrate these concepts with examples, and investigate some of their properties. We solve the decision-making problem by using our proposed algorithm.

Neutrosophic Sets and Systems, vol. 10/2015

Author : J. J. Peng
Publisher : Infinite Study
ISBN 13 :
Total Pages : 109 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 10/2015 by : J. J. Peng

Download or read book Neutrosophic Sets and Systems, vol. 10/2015 written by J. J. Peng and published by Infinite Study. This book was released on with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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: An International Book Series in Information Science and Engineering, vol. 21 / 2018

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599735814
Total Pages : 166 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 21 / 2018 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. 16/2017

Author : Ferhat Taș
Publisher : Infinite Study
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 16/2017 by : Ferhat Taș

Download or read book Neutrosophic Sets and Systems, vol. 16/2017 written by Ferhat Taș and published by Infinite Study. This book was released on with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 133 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.