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| Author | : Muhammad Akram |
| Publisher | : Infinite Study |
| Total Pages | : 24 |
| Release | : |
| Genre | : |
| ISBN | : |
Soft sets (SSs), neutrosophic sets (NSs), and rough sets (RSs) are different mathematical models for handling uncertainties, but they are mutually related. In this research paper, we introduce the notions of soft rough neutrosophic sets (SRNSs) and neutrosophic soft rough sets (NSRSs) as hybrid models for soft computing.
| Author | : Jianbo Liu |
| Publisher | : Infinite Study |
| Total Pages | : 20 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
This paper proposes neutrosophic vague N-soft sets which is composed of neutrosophic vague sets and N-soft sets for the first time. The new hybrid model includes a pair of asymmetric functions: truth-membership and false-membership, and an indeterminacy-membership function. Some useful operations and propositions are given and illustrated by examples. Moreover, a method of priority relation ranking based on neutrosophic vague N-soft sets is presented. The validity of the method is verified by comparison. It is more flexible and reasonable to use this method in our daily life. Finally, a potential application of multi-attribute decision making is presented.
| Author | : Muhammad Akram |
| Publisher | : Infinite Study |
| Total Pages | : 20 |
| Release | : |
| Genre | : |
| ISBN | : |
Rough set theory and neutrosophic set theory are mathematical models to deal with incomplete and vague information.
| Author | : Muhammad Riaz |
| Publisher | : Infinite Study |
| Total Pages | : 22 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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.
| Author | : Surapati Pramanik |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : |
| ISBN | : |
The notion of neutrosophic cubic set is originated from the hybridization of the concept of neutrosophic set and interval valued neutrosophic set.
| Author | : Hafsa Masood Malik |
| Publisher | : Infinite Study |
| Total Pages | : 37 |
| Release | : |
| Genre | : |
| ISBN | : |
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.
| Author | : Florentin Smarandache |
| Publisher | : MDPI |
| Total Pages | : 207 |
| Release | : 2018-10-12 |
| Genre | : Mathematics |
| ISBN | : 3038972886 |
This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms
| Author | : Muhammad Riaz |
| Publisher | : Infinite Study |
| Total Pages | : 18 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Rough set approaches encounter uncertainty by means of boundary regions instead of membership values. In this paper, we develop the topological structure on soft rough set (SR-set) by using pairwise SR-approximations.
| Author | : Surapati Pramanik |
| Publisher | : Infinite Study |
| Total Pages | : 13 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this paper, we extend the VIKOR (VIsekriterijumska optimizacija i KOmpromisno Resenje) strategy to multiple attribute group decision-making (MAGDM) with bipolar neutrosophic set environment. In this paper, we first define VIKOR strategy in bipolar neutrosophic set environment to handle MAGDM problems, which means we combine the VIKOR with bipolar neutrosophic number to deal with MAGDM.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 130 |
| Release | : |
| Genre | : |
| ISBN | : 1599735156 |
Abstract: Contributors to current issue (listed in papers' order): K Mondal, S. Pramanik, F. Smarandache, M. A. Malik, A. Hassan, S. Broumi, S. K. De, I. Beg, A. N. H. Zaied, H. M. Naguib, N. Shah, A. A. Salama, M. Eisa, H. E. Ghawalby, A. E. Fawzy, M. Sarkar, S. Dey, T. K. Roy, S. Karatas, C. Kuru, P. J. M. Vera, C. F. M. Delgado, M. P. Gónzalez, M. L. Vázquez, Tuhin Bera, and Nirmal Kumar Mahapatra. Papers in current issue (listed in papers' order): Multi-attribute Decision Making based on Rough Neutrosophic Variational Coefficient Similarity Measure; Regular Single Valued Neutrosophic Hypergraphs; Triangular Dense Fuzzy Neutrosophic Sets; Applications of Fuzzy and Neutrosophic Logic in Solving Multi-criteria Decision Making Problems; Irregular Neutrosophic Graphs; Neutrosophic Features for Image Retrieval; Truss Design Optimization using Neutrosophic Optimization Technique; Marketing skills as determinants that underpin the competitiveness of the rice industry in Yaguachi canton. Application of SVN numbers to the prioritization of strategies; Classical Logic and Neutrosophic Logic. Answers to K. Georgiev; Regular Bipolar Single Valued Neutrosophic Hypergraphs; Neutrosophic Topology; Neutrosophic crisp Sets via Neutrosophic crisp Topological Spaces; Rough Neutrosophic TOPSIS for Multi-Attribute Group Decision Making; Introduction to Neutrosophic Soft Groups. Keywords: neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic applications.
