Interval Neutrosophic Covering Rough Sets Based On Neighborhoods
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Author |
: Dongsheng Xu |
Publisher |
: Infinite Study |
Total Pages |
: 16 |
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: 4/5 ( Downloads) |
Synopsis Interval neutrosophic covering rough sets based on neighborhoods by : Dongsheng Xu
Covering rough set is a classical generalization of rough set. As covering rough set is a mathematical tool to deal with incomplete and incomplete data, it has been widely used in various fields. The aim of this paper is to extend the covering rough sets to interval neutrosophic sets, which can make multi-attribute decision making problem more tractable. Interval neutrosophic covering rough sets can be viewed as the bridge connecting Interval neutrosophic sets and covering rough sets. Firstly, the paper introduces the definition of interval neutrosophic sets and covering rough sets, where the covering rough set is defined by neighborhood. Secondly, Some basic properties and operation rules of interval neutrosophic sets and covering rough sets are discussed. Thirdly, the definition of interval neutrosophic covering rough sets are proposed. Then, some theorems are put forward and their proofs of interval neutrosophic covering rough sets also be gived. Lastly, this paper gives a numerical example to apply the interval neutrosophic covering rough sets.
Author |
: Qiu Jin |
Publisher |
: Infinite Study |
Total Pages |
: 14 |
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: 4/5 ( Downloads) |
Synopsis A New Single-Valued Neutrosophic Rough Sets and Related Topology by : Qiu Jin
(Fuzzy) rough sets are closely related to (fuzzy) topologies. Neutrosophic rough sets and neutrosophic topologies are extensions of (fuzzy) rough sets and (fuzzy) topologies, respectively. In this paper, a new type of neutrosophic rough sets is presented, and the basic properties and the relationships to neutrosophic topology are discussed.
Author |
: Florentin Smarandache, Mumtaz Ali |
Publisher |
: Infinite Study |
Total Pages |
: 90 |
Release |
: 2015-02-01 |
ISBN-10 |
: 9781599733326 |
ISBN-13 |
: 1599733323 |
Rating |
: 4/5 (26 Downloads) |
Synopsis Neutrosophic Sets and Systems, Vol. VII by : Florentin Smarandache, Mumtaz Ali
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.
Author |
: Florentin Smarandache |
Publisher |
: MDPI |
Total Pages |
: 714 |
Release |
: 2019-11-27 |
ISBN-10 |
: 9783039219384 |
ISBN-13 |
: 3039219383 |
Rating |
: 4/5 (84 Downloads) |
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
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.
Author |
: H. E. Khalid |
Publisher |
: Infinite Study |
Total Pages |
: 90 |
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: 4/5 ( Downloads) |
Synopsis Neutrosophic Sets and Systems, vol. 7/2015 by : H. E. Khalid
“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 |
: Ashraf Al-Quran |
Publisher |
: Infinite Study |
Total Pages |
: 16 |
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: 4/5 ( Downloads) |
Synopsis A Novel Approach to Neutrosophic Soft Rough Set under Uncertainty by : Ashraf Al-Quran
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.
Author |
: Florentin Smarandache |
Publisher |
: Infinite Study |
Total Pages |
: 482 |
Release |
: 2014-12-01 |
ISBN-10 |
: 9781599733203 |
ISBN-13 |
: 159973320X |
Rating |
: 4/5 (03 Downloads) |
Synopsis Neutrosophic Theory and Its Applications, Vol. I by : Florentin Smarandache
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.
Author |
: Muhammet Deveci |
Publisher |
: Infinite Study |
Total Pages |
: 14 |
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: 4/5 ( Downloads) |
Synopsis Type-2 neutrosophic number based multi-attributive border approximation area comparison (MABAC) approach for offshore wind farm site selection in USA by : Muhammet Deveci
This approach combines the advantages of neutrosophic numbers sets, which can utilize uncertain and incomplete information, with a multi-attributive border approximation area comparison that provides formulation flexibility and easy calculation. Further, this study develops and integrates a techno-economic model for OWFs in the decision-making. A case study is performed to evaluate and rank five proposed OWF sites off the coast of New Jersey. To validate the proposed model, a comparison against three alternative T2NN fuzzy based models is performed. It is demonstrated that the implemented model yields the same ranking order as the alternative approaches. Sensitivity analysis reveals that changing criteria weightings does not affect the ranking order.
Author |
: Emad Marei |
Publisher |
: Infinite Study |
Total Pages |
: 10 |
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: 4/5 ( Downloads) |
Synopsis Single Valued Neutrosophic Soft Approach to Rough Sets, Theory and Application by : Emad Marei
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.
Author |
: Muhammad Riaz |
Publisher |
: Infinite Study |
Total Pages |
: 22 |
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: 4/5 ( Downloads) |
Synopsis Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making by : Muhammad Riaz
In this manuscript, we introduce the notion of neutrosophic soft rough topology (NSR-topology) defined on neutrosophic soft rough set (NSR-set). We define certain properties of NSR- topology including NSR-interior, NSR-closure, NSR-exterior, NSR-neighborhood, NSR-limit point, and NSR-bases. Furthermore, we aim to develop some multi-criteria decision-making (MCDM) methods based on NSR-set and NSR-topology to deal with ambiguities in the real-world problems. For this purpose, we establish algorithm 1 for suitable brand selection and algorithm 2 to determinencore issues to control crime rate based on NSR-lower approximations, NSR-upper approximations, matrices, core, and NSR-topology.