Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital PDF Download
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Author: Yanran Hong Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 13
Book Description
Fuzzy information in venture capital can be well expressed by neutrosophic numbers, and TODIM method is an effective tool for multi-attribute decision-making. The distance measure is an essential step in TODIM method. The keystone of this paper is to define several new distance measures, in particular the improved interval neutrosophic Euclidean distance, and these measures are applied in the TODIM method for multi-attribute decision-making. Firstly, the normalized generalized interval neutrosophic Hausdorff distance is defined and proved to be valid in this paper. Secondly, we define a weighted parameter interval neutrosophic distance and discuss whether different weight parameters affect the decision result based on TODIM method. Thirdly, considering the preference perspective of decision-makers in behavioral economics, we define the improved interval neutrosophic Euclidean distance with the known parameter of risk preference. Finally, an application example is given to compare the effects of different parameters on the result and discuss the feasibility of these two distance measures in TODIM method.
Author: Yanran Hong Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 13
Book Description
Fuzzy information in venture capital can be well expressed by neutrosophic numbers, and TODIM method is an effective tool for multi-attribute decision-making. The distance measure is an essential step in TODIM method. The keystone of this paper is to define several new distance measures, in particular the improved interval neutrosophic Euclidean distance, and these measures are applied in the TODIM method for multi-attribute decision-making. Firstly, the normalized generalized interval neutrosophic Hausdorff distance is defined and proved to be valid in this paper. Secondly, we define a weighted parameter interval neutrosophic distance and discuss whether different weight parameters affect the decision result based on TODIM method. Thirdly, considering the preference perspective of decision-makers in behavioral economics, we define the improved interval neutrosophic Euclidean distance with the known parameter of risk preference. Finally, an application example is given to compare the effects of different parameters on the result and discuss the feasibility of these two distance measures in TODIM method.
Author: Amir Hossein NAFEI Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 8
Book Description
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.
Author: Dongsheng Xu Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 12
Book Description
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.
Author: Surapati Pramanik Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 9
Book Description
In this paper, we define projection and bidirectional projection measures between interval rough neutrosophic sets and prove their basic properties. Then two new multi attribute decision making strategies are proposed based on interval rough neutrosophic projection and bidirectional projection measures respectively. Then the proposed methods are applied for solving multi attribute decision making problems. Finally, a numerical example is solved to show the feasibility, applicability and effectiveness of the proposed strategies.
Author: Wen Jiang Publisher: Infinite Study ISBN: Category : Business & Economics Languages : en Pages : 13
Book Description
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.
Author: Nguyen Tho Thong Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 15
Book Description
Decision-making activities are prevalent in human life. Many methods have been developed to address real-world decision problems. In some practical situations, decision-makers prefer to provide their evaluations over a set of criteria and weights.
Author: Wei Yang Publisher: Infinite Study ISBN: Category : Languages : en Pages : 16
Book Description
Interval neutrosophic fuzzy decision making is an important part of decision making under uncertainty, which is based on preference order.
Author: Minxia Luo Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 15
Book Description
In this paper, a new tangent similarity between single valued neutrosophic sets is given, which contain tangent similarity [23] as a special case. A best-worst multi-criteria decision making method based on the single valued neutrosophic sets is proposed. To achieve this goal, we design an algorithm to identify the best andworst criteria through computing the outdegrees and in-degrees of the collective single valued neutrosophic preference relation directed network, and then calculate the optimal weight vector of attributes. Moreover, a mathematical model corresponding to the definitions of consistent single valued neutrosophic preference relation is contracted. Finaly, the evaluation values of all alternatives are calculated by the proposed new tangent similarity.
Author: Dongsheng Xu Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 16
Book Description
As an extension of neutrosophic set, interval complex neutrosophic set is a new research topic in the field of neutrosophic set theory, which can handle the uncertain, inconsistent and incomplete information in periodic data. Distance measure is an important tool to solve some problems in engineering and science. Hence, this paper presents some interval complex neutrosophic distance measures to deal with multi-criteria group decision-making problems.
Author: Surapati Pramanik Publisher: Infinite Study ISBN: Category : Languages : en Pages : 10
Book Description
Bipolar neutrosophic sets are the extension of neutrosophic sets and are based on the idea of positive and negative preferences of information. Projection measure is a useful apparatus for modelling real life decision making problems. In the paper, we define projection, bidirectional projection and hybrid projection measures between bipolar neutrosophic sets. Three new methods based on the proposed projection measures are developed for solving multi-attribute decision making problems.