Multi-Attribute Decision-Making Method Based on Neutrosophic Soft Rough Information
Multi-Attribute Decision-Making Method Based on Neutrosophic Soft Rough Information

Author: Muhammad Akram

Publisher: Infinite Study

Published:

Total Pages: 24

ISBN-13:

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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.

Multi-Attribute Decision Making Method Based on Neutrosophic Vague N-Soft Sets
Multi-Attribute Decision Making Method Based on Neutrosophic Vague N-Soft Sets

Author: Jianbo Liu

Publisher: Infinite Study

Published:

Total Pages: 20

ISBN-13:

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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.

Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making
Neutrosophic Soft Rough Topology and its Applications to Multi-Criteria Decision-Making

Author: Muhammad Riaz

Publisher: Infinite Study

Published:

Total Pages: 22

ISBN-13:

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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.

Soft Rough Neutrosophic Influence Graphs with Application
Soft Rough Neutrosophic Influence Graphs with Application

Author: Hafsa Masood Malik

Publisher: Infinite Study

Published:

Total Pages: 37

ISBN-13:

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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 Multi-Criteria Decision Making
Neutrosophic Multi-Criteria Decision Making

Author: Florentin Smarandache

Publisher: MDPI

Published: 2018-10-12

Total Pages: 207

ISBN-13: 3038972886

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This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms

New Trends in Neutrosophic Theory and Applications, Volume II
New Trends in Neutrosophic Theory and Applications, Volume II

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 461

ISBN-13:

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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.

VIKOR Based MAGDM strategy under Bipolar Neutrosophic Set Environment
VIKOR Based MAGDM strategy under Bipolar Neutrosophic Set Environment

Author: Surapati Pramanik

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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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.