خلاصة:
This paper evaluates and ranks the temporal dimensions, known as fourth dimension of urban design, of a number of places in a city by TOPSIS method. TOPSIS method is technique for order preference by similarity to ideal solution. TOPSIS is one of the renowned methods for classical multi-criteria decision-making (MCDM) problems that defines the positive ideal solution and negative ideal solution to maximize the benefit criteria and minimize the cost criteria. The best solution is a point that has the shortest distance from the positive ideal solution and the farthest distance from the negative ideal solution. Because of the vagueness of the input data, triangular fuzzy numbers are applied. In addition, Euclidian distance and a new positive and negative ideal solution are used in this paper. This technique is implemented in Marand, Iran to evaluate fifteen important places based on eight criteria of temporal dimensions. Closeness coefficient values verify the ranking order of fifteen important places, which is a vital decision for the urban managers.
ملخص الجهاز:
International Journal of Architecture and Urban Development Vol. 3, No. 2, Spring 2013 Temporal Dimension Evaluation by Fuzzy TOPSIS Method 1*Maliheh Hashemi Tilehnoei, 2Mehdi Amiri Aref 1 M.
2013 This paper evaluates and ranks the temporal dimensions, known as fourth dimension of urban design, of a number of places in a city by TOPSIS method.
TOPSIS is one of the renowned methods for classical multi-criteria decision-making (MCDM) problems that defines the positive ideal solution and negative ideal solution to maximize the benefit criteria and minimize the cost criteria.
Fuzzy multicriteria decision-making method based on concepts of positive ideal and negative ideal points to evaluate bus companies’ performance is researched in Yeh et al.
They applied fuzzy analytic hierarchy process (AHP) to determine the weight of the criteria and then ranked the firms by TOPSIS methods.
11) (12) Step 5: Distance between the possible alternative the positive ideal solution and the negative ideal solut can be calculated respectively by using: RESULTS AND DISCUSSION In this section, first we present a real case of investigating temporal dimensions in urban design study with triangular fuzzy data and introduce the evaluating criteria of temporal dimensions in Marand, Iran, to illustrate this TOPSIS approach.
A rank order of the places based on the temporal dimensions criteria is provided by the TOPSIS method.
A fuzzy TOPSIS method is used in order to rank fifteen important places in Marand, Iran based on temporal dimension of urban design.