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

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

Author: Rana Muhammad Zulqarnain

Publisher: Infinite Study

Published: 2020-12-01

Total Pages: 17

ISBN-13:

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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

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

Author: Nguyen Tho Thong

Publisher: Infinite Study

Published:

Total Pages: 20

ISBN-13:

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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

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

Author: Vakkas Uluçay

Publisher: Infinite Study

Published:

Total Pages: 17

ISBN-13:

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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

Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set PDF

Author: Wen Jiang

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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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.

Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set

Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set PDF

Author: Wen Jiang

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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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

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

Author: Surapati Pramanik

Publisher: Infinite Study

Published:

Total Pages: 9

ISBN-13:

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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.

A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment

A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment PDF

Author: Nancy

Publisher: Infinite Study

Published:

Total Pages: 15

ISBN-13:

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The theme of this work is to present an axiomatic definition of divergence measure for single-valued neutrosophic sets (SVNSs). The properties of the proposed divergence measure have been studied. Further, we develop a novel technique for order preference by similarity to ideal solution (TOPSIS) method for solving single-valued neutrosophic multi-criteria decision-making with incomplete weight information. Finally, a numerical example is presented to verify the proposed approach and to present its effectiveness and practicality.

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