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Generalized Neutrosophic TOPSIS to Solve Multi-Criteria Decision-Making Problems

2020-12-01 Mathematics
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Release : 2020-12-01
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Book Synopsis Generalized Neutrosophic TOPSIS to Solve Multi-Criteria Decision-Making Problems by : Rana Muhammad Zulqarnain

Download or read book Generalized Neutrosophic TOPSIS to Solve Multi-Criteria Decision-Making Problems written by Rana Muhammad Zulqarnain. This book was released on 2020-12-01. Available in PDF, EPUB and Kindle. Book excerpt: Multi-criteria decision making (MCDM) is the technique of selecting the best alternative from multiple alternatives and multiple conditions. The technique for order preference by similarity to an ideal solution (TOPSIS) is a crucial practical technique for ranking and selecting different options by using a distance measure. In this article, we protract the fuzzy TOPSIS technique to neutrosophic fuzzy TOPSIS, and prove the accuracy of the method by explaining the MCDM problem with single-value neutrosophic information, and use the method for supplier selection in the production industry. We hope that this article will promote future scientific research on numerous existence issues based on multi-criteria decision making.

A Novel Dynamic Multi-Criteria Decision Making Method Based on Generalized Dynamic Interval-Valued Neutrosophic Set

Mathematics
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Book Synopsis A Novel Dynamic Multi-Criteria Decision Making Method Based on Generalized Dynamic Interval-Valued Neutrosophic Set by : Nguyen Tho Thong

Download or read book A Novel Dynamic Multi-Criteria Decision Making Method Based on Generalized Dynamic Interval-Valued Neutrosophic Set written by Nguyen Tho Thong. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: This study introduces an extension of dynamic internal-valued neutrosophic sets namely generalized dynamic internal-valued neutrosophic sets. Based on this extension, we develop some operators and a TOPSIS method to deal with the change of both criteria, alternatives, and decision-makers by time. In addition, this study also applies the proposal model to a real application that facilitates ranking students according to attitude-skill-knowledge evaluation model. This application not only illustrates the correctness of the proposed model but also introduces its high potential appliance in the education domain.

Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making

Mathematics
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Book Synopsis Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making by : Vakkas Uluçay

Download or read book Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making written by Vakkas Uluçay . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Smarandache defined a neutrosophic set to handle problems involving incompleteness, indeterminacy, and awareness of inconsistency knowledge, and have further developed it neutrosophic soft expert sets. In this paper, this concept is further expanded to generalized neutrosophic soft expert set (GNSES). We then define its basic operations of complement, union, intersection, AND, OR, and study some related properties, with supporting proofs. Subsequently, we define a GNSES-aggregation operator to construct an algorithm for a GNSES decision-making method, which allows for a more efficient decision process. Finally, we apply the algorithm to a decision-making problem, to illustrate the effectiveness and practicality of the proposed concept. A comparative analysis with existing methods is done and the result affirms the flexibility and precision of our proposed method.

Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set

Mathematics
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Book Synopsis Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set by : Wen Jiang

Download or read book Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set written by Wen Jiang . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a special case of neutrosophic set, which is widely used in actual application fields. In this paper, a new method based on single-valued neutrosophic sets aggregation to solve multi-attribute decision making problem is proposed. Firstly, the neutrosophic decision matrix is obtained by expert assessment, a score function of single-valued neutrosophic sets (SVNSs) is defined to obtain the positive ideal solution (PIS) and the negative ideal solution (NIS). Then all alternatives are aggregated based on TOPSIS method to make decision. Finally numerical examples are given to verify the feasibility and rationality of the method.

An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information

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Book Synopsis An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information by : Surapati Pramanik

Download or read book An extended TOPSIS for multi-attribute decision making problems with neutrosophic cubic information written by Surapati Pramanik. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The paper proposes a new technique for dealing with multi-attribute decision making problems through an extended TOPSIS method under neutrosophic cubic environment. Neutrosophic cubic set is the generalized form of cubic set and is the hybridization of a neutrosophic set with an interval neutrosophic set.

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