# Investing a triangular matrix in matlab

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Fuzzy sets theory is utilized to cover the vagueness inherent in the nature of project selection problem as well. For example, Huang et al. Bhattacharyya et al. Ebrahimnejad et al. Some researchers tried the project selection problem in other ways. Dey proposed a decision support system, which analyses projects with respect to market, technicalities, and social and environmental impact in an integrated framework using analytic hierarchy process.

Smith-Perera et al. Shakhsi-Niaei et al. The objective of this chapter is to present a FANP-based approach for the construction project selection problem using triangular fuzzy numbers. According to the fuzzy preference programming FPP method, local weights of fuzzy pairwise comparison matrices can be achieved. Then an unweighted and weighted supermatrix based on its network structure can be formed. For FANP, the key steps are to calculate the local weights and the limit supermatrix.

Both of them can be solved by Matlab. A case will be given by the proposed method, and Matlab codes will be provided as well. Advertisement 2. ANP is the first mathematical theory that makes it possible to deal with all kinds of dependences and feedbacks by replacing hierarchies with networks Saaty, ANP allows for complex inter-relationships among decision dimensions and attributes.

The ANP feedback approach replaces hierarchies with networks in which the relationships between dimensions are not easily represented as higher or lower, dominant or subordinate, direct or indirect. For instance, not only does the importance of the criteria determine the importance of the attributes, as in a hierarchy, but also the importance of the attributes may have impact on the importance of the criteria.

Smith-Perera et al. Shakhsi-Niaei et al. The objective of this chapter is to present a FANP-based approach for the construction project selection problem using triangular fuzzy numbers. According to the fuzzy preference programming FPP method, local weights of fuzzy pairwise comparison matrices can be achieved. Then an unweighted and weighted supermatrix based on its network structure can be formed.

For FANP, the key steps are to calculate the local weights and the limit supermatrix. Both of them can be solved by Matlab. A case will be given by the proposed method, and Matlab codes will be provided as well. Advertisement 2. ANP is the first mathematical theory that makes it possible to deal with all kinds of dependences and feedbacks by replacing hierarchies with networks Saaty, ANP allows for complex inter-relationships among decision dimensions and attributes.

The ANP feedback approach replaces hierarchies with networks in which the relationships between dimensions are not easily represented as higher or lower, dominant or subordinate, direct or indirect. For instance, not only does the importance of the criteria determine the importance of the attributes, as in a hierarchy, but also the importance of the attributes may have impact on the importance of the criteria.

A hierarchical structure with a linear top-to-bottom form is not suitable for a complex system. In real-life decision-making situations, the decision makers or stakeholders could be uncertain about their own level of preference, due to incomplete information or knowledge, complexity and uncertainty within the decision environment.

Such situations will occur when selecting and evaluating an optimal project. This chapter will focus on FANP in fuzzy decision-making based on triangular fuzzy numbers. Triangular fuzzy number A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership function, which assigns to each object a grade of membership ranging between zero and one.

#### Plot correlations between time series, which are variables in a table, using default options.

Caesar`s sportsbook app | Bhattacharyya et al. ANP allows for complex inter-relationships among decision dimensions and attributes. Return a table of pairwise correlations and a table of corresponding significance-test p -values. By default, corrplot plots to the current axes gca. Conduct Right-Tailed Correlation Tests Test for correlations greater than zero between multiple time series. |

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Investing a triangular matrix in matlab | A case will be given by the proposed method, and Matlab codes will be provided as well. ANP is the first mathematical theory that makes it possible to deal with all kinds of dependences and feedbacks by replacing hierarchies with networks Saaty, Triangular fuzzy number A fuzzy set is a class of objects with a continuum of grades of membership. Also, project selection has been presented in regard with multiple objectives. Data Types: double Tbl — Time series data table timetable Time series data, specified as a table or timetable with link rows. |

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