TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making
Title | TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making PDF eBook |
Author | Dong-Sheng Xu |
Publisher | Infinite Study |
Pages | 18 |
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Recently, the TODIM has been used to solve multiple attribute decision making (MADM) problems. The single-valued neutrosophic sets (SVNSs) are useful tools to depict the uncertainty of the MADM.
A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets
Title | A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets PDF eBook |
Author | Dongsheng Xu |
Publisher | Infinite Study |
Pages | 12 |
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Genre | Mathematics |
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In this paper, a new method based on PROMETHEE and TODIM is proposed to solve the MADM problem under the single-valued neutrosophic environment. Based on the calculation formula of inflow and outflow in PROMETHEE method, and the calculation formula of overall dominance in the TODIM method, a new integrated formula is obtained.
TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment
Title | TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment PDF eBook |
Author | Jie Wang |
Publisher | Infinite Study |
Pages | 17 |
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Genre | Business & Economics |
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In this article, we extend the original TODIM (Portuguese acronym for Interactive Multi-Criteria Decision Making) method to the 2-tuple linguistic neutrosophic fuzzy environment to propose the 2TLNNs TODIM method. In the extended method, we use 2-tuple linguistic neutrosophic numbers (2TLNNs) to present the criteria values in multiple attribute group decision making (MAGDM) problems.
NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment
Title | NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment PDF eBook |
Author | Surapati Pramanik |
Publisher | Infinite Study |
Pages | 21 |
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A neutrosophic cubic set is the hybridization of the concept of a neutrosophic set and an interva lneutrosophic set.
A Method of Determining Multi-AttributeWeights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM
Title | A Method of Determining Multi-AttributeWeights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM PDF eBook |
Author | Dongsheng Xu |
Publisher | Infinite Study |
Pages | 12 |
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Genre | Mathematics |
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In this paper, the TODIM method is used to solve the multi-attribute decision-making problem with unknown attribute weight in venture capital, and the decision information is given in the form of single-valued neutrosophic numbers. In order to consider the objectivity and subjectivity of decision-making problems reasonably, the optimal weight is obtained by combining subjective weights and objective weights. Subjective weights are given directly by decision makers. Objective weights are obtained by establishing a weight optimization model with known decision information, then this method will compare with entropy weight method. These simulation results also validate the effectiveness and reasonableness of this proposed method.
Interval valued neutrosophic sets and multi-attribute decision-making based on generalized weighted aggregation operator
Title | Interval valued neutrosophic sets and multi-attribute decision-making based on generalized weighted aggregation operator PDF eBook |
Author | Zhao Aiwu |
Publisher | Infinite Study |
Pages | 11 |
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Genre | Mathematics |
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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.
TODIM Method for Group Decision Making under Bipolar Neutrosophic Set Environment
Title | TODIM Method for Group Decision Making under Bipolar Neutrosophic Set Environment PDF eBook |
Author | Surapati Pramanik |
Publisher | Infinite Study |
Pages | 16 |
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Classical TODIM (an acronym in Portuguese for Interactive Multi criteria Decision Making) method works on crisp numbers to solve multi-attribute group decision making problems.