– The proposed method is based on the generalized mean and spread of fuzzy numbers that are calculated according to probability of fuzzy events due to Zadeh. Ranking of alternatives for relevant criteria performs according to relative expected closeness, coefficient of variation and relative standard deviation of distance of alternatives to the ideal solutions. The most acceptable rule is related to the minimal value of the expected relative distance to positive ideal solution, especially when the coefficient of variation of distance to this solution is small. The attached example, related to a real project, confirms these findings.
In addition, when the attributes are not deterministic; the fuzzy logic approach is usually adopted. One of the most popular methods in MCDM is the Technique for Order Preference by Similarity or TOPSIS. Hence, in the case of attributes that are not deterministic, fuzzy TOPSIS method will be used. May 23, 2012 - We have adapted the TOPSIS description from existing Fuzzy theory. To illustrate the application of TOPSIS for a multi-criteria group decision.
– This paper proposes three novel contributions in this area. Unlike the methods proposed by other authors, the weighted fuzzy decision matrix is expressed by the matrix of generalized expected values and matrix of generalized variances. To compute elements of these two matrices, exact formulae are derived and then the modified fuzzy TOPSIS procedure is carried out.
Keywords:, Type: Research paper Publisher: Emerald Group Publishing Limited Copyright: © Emerald Group Publishing Limited 2013 Published by Emerald Group Publishing Limited Citation:, (2013) 'One modification of fuzzy TOPSIS method', Journal of Modelling in Management, Vol. 8 Issue: 1, pp.81-102.
Topsis online software TOPSIS is one of the most widely used techniques of multi-criteria decision-making. M-alternatives are evaluated according to n-criteria in a TOPSIS technique.
This technique is based on the principle that the selected alternative should have the least distance to the positive ideal and the most distance to the negative ideal. Features of TOPSIS online software:. Good price. HTML output: TOPSIS software provides researchers with all stages of formulas and diagrams of ranking alternatives in the form of HTML.
Possibility of entering data from excel: researchers can copy a considerable volume of their data from excel and paste them in TOPSIS software. Prioritization of m-alternatives according to n-criteria via expert’s k-opinions. You can enter each expert’s opinion into the software separately. Prioritization of m-alternatives according to expert’s k-opinions: if you rank the alternatives with no criteria and just by the experts’ opinions, the software provides you with this capability. No limitation in number of alternatives, criteria, and experts. Possibility of using demo version (free and with limitation). Fuzzy Decision Fuzzy Decision is a website which offers user-friendly services with the objective of helping researchers and practitioners to solve decision-making problems in a crisp and fuzzy environment.
Users can receive final reports from the website through registering and entering the information about the problem in the corresponding software pages. The softwares are web-based and there’s no need to install them on your computers. Easy access, user convenience, and comprehensive reports in the form of HTML are the pivotal characteristics of our service. For more information about the directions of application, refer to the software pages.