Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set

Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set
Author: Wen Jiang
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: Mathematics
ISBN:

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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
Author: Wen Jiang
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: Mathematics
ISBN:

Download Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set Book in PDF, Epub and Kindle

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.

Interval valued neutrosophic sets and multi-attribute decision-making based on generalized weighted aggregation operator

Interval valued neutrosophic sets and multi-attribute decision-making based on generalized weighted aggregation operator
Author: Zhao Aiwu
Publisher: Infinite Study
Total Pages: 11
Release:
Genre: Mathematics
ISBN:

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Neutrosophic sets are powerful logics designed to facilitate understanding of indeterminate and inconsistent information; many types of incomplete or complete information can be expressed as interval valued neutrosophic sets (IVNSs). This paper proposes improved aggregation operation rules for IVNSs, and extends the generalized weighted aggregation (GWA) operator to work congruently with IVNS data. The aggregated results are also expressed as IVNSs, which are characterized by truth membership degree, indeterminacy-membership degree, and falsity-membership degree. The proposed method is proved to be the maximum approximation to the original data, and maintains most of the information during data processing. Then, a method is proposed to determine the ranking orders for all alternatives according to their comparative advantage matrices based on their general score, degree of accuracy and degree of certainty expressed by the aggregated IVNSs. Finally, a numerical example is provided to illustrate the applicability and efficiency of the proposed approach.

Group Multi-Attribute Decision Making Based on Interval Neutrosophic Sets

Group Multi-Attribute Decision Making Based on Interval Neutrosophic Sets
Author: Amir Hossein NAFEI
Publisher: Infinite Study
Total Pages: 8
Release:
Genre: Mathematics
ISBN:

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This paper presents a new method for group multi-attribute decision-making (GMADM) based on interval neutrosophic sets, where decision makers determine the weights and the evaluating values of the attributes with respect to the available alternatives by using interval neutrosophic values. In comparison with other existing methods involving group multi-attribute decision making, that only consider crisp or incomplete information, the proposed method, based on interval neutrosophic sets, can handle not only incomplete information but also indeterminate and inconsistent information which is common in real-world situations. Therefore, the method presented in this paper can be more effective and efficient than other decision-making methods.

Multi-Attribute Decision Making Based on Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators

Multi-Attribute Decision Making Based on Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators
Author: Songtao Shao
Publisher: Infinite Study
Total Pages: 15
Release:
Genre: Mathematics
ISBN:

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Take the third-party logistics providers (3PLs) as an example, according to the characteristics of correlation between attributes in multi-attribute decision-making, two Choquet aggregation operators adoping probabilistic neutrosophic hesitation fuzzy elements (PNHFEs) are proposed to cope with the situations of correlation among criterions. This measure not only provides support for the correlation phenomenon between internal attributes, but also fully concerns the incidental uncertainty of the external space. Our goal is to make it easier for decision makers to cope with this uncertainty, thus we establish the notion of probabilistic neutrosophic hesitant fuzzy Choquet averaging (geometric) (PNHFCOA, PNHFCOG) operator. Based on this foundation, a method for aggregating decision makers’ information is proposed, and then the optimal decision scheme is obtained. Finally, an example of selecting optimal 3PL is given to demonstrate the objectivity of the above-mentioned standpoint.

TOPSIS Approach for Multi Attribute Group Decision Making in Refined Neutrosophic Environment

TOPSIS Approach for Multi Attribute Group Decision Making in Refined Neutrosophic Environment
Author: SURAPATI PRAMANIK
Publisher: Infinite Study
Total Pages: 13
Release:
Genre:
ISBN:

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This paper presents TOPSIS approach for multi attribute decision making in refined neutrosophic environment. The weights of each decision makers are considered as a single valued neutrosophic numbers.

Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set

Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set
Author: Wen Jiang
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: Business & Economics
ISBN:

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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.

Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy Information

Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy Information
Author: Li Wang
Publisher: Infinite Study
Total Pages: 15
Release:
Genre: Mathematics
ISBN:

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As a generalization of both single-valued neutrosophic element and hesitant fuzzy element, single-valued neutrosophic hesitant fuzzy element (SVNHFE) is an efficient tool for describing uncertain and imprecise information. Thus, it is of great significance to deal with single-valued neutrosophic hesitant fuzzy information for many practical problems. In this paper, we study the aggregation of SVNHFEs based on some normalized operations from geometric viewpoint. Firstly, two normalized operations are defined for processing SVNHFEs. Then, a series of normalized aggregation operators which fulfill some basic conditions of a valid aggregation operator are proposed. Additionally, a decision-making method is developed for resolving multi-attribute decision-making problems based on the proposed operators.

Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment

Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment
Author: Harish Garg
Publisher: Infinite Study
Total Pages: 25
Release:
Genre: Mathematics
ISBN:

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The aim of this paper is to introduce some new operators for aggregating single-valued neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making (MCDM) problems. Single-valued neutrosophic set, as an extension and generalization of an intuitionistic fuzzy set, is a powerful tool to describe the fuzziness and uncertainty, and Muirhead mean (MM) is a well-known aggregation operator which can consider interrelationships among any number of arguments assigned by a variable vector. In order to make full use of the advantages of both, we introduce two new prioritized MM aggregation operators, such as the SVN prioritized MM (SVNPMM) and SVN prioritized dual MM (SVNPDMM) under SVN set environment. In addition, some properties of these new aggregation operators are investigated and some special cases are discussed. Furthermore, we propose a new method based on these operators for solving the MCDM problems. Finally, an illustrative example is presented to testify the efficiency and superiority of the proposed method by comparing it with the existing method.

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
Total Pages: 20
Release:
Genre: Mathematics
ISBN:

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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.