One of the techniques used to support decisions in uncertain environments is the Fuzzy TOPSIS method. However, from crisp data, this method considers only one fuzzy set in their analysis, besides being a strictly mathematical optimization technique. This article proposes extensions to the original Fuzzy TOPSIS, exploring two distinct versions: to increase the method with the necessary resources...

In this study, we introduce a novel modified synthetic evaluation method (M-TOPSIS) based on the concept of original TOPSIS and calculate the distance between the alternatives and ‘optimized ideal reference point’ in the D D-plane. It could avoid rank reversals and solve the problem on evaluation failure that often occurs in original TOPSIS, so we believe that the mechanism of M-TOPSIS is more ...

In order to resolve cases related to an alternative selection problems (MADM problems), various methods have been applied. Many methods are used to solve the MADM problems, which sometimes give different results. To resolve MADM problem, we can use AHP and TOPSIS methods. The advantages of AHP method are it can provide solutions through the analysis of quantitative and qualitative decision. In ...

− In this paper, we first briefly present conventional TOPSIS method developed by Hwang and Yoon[10, 19] as a multi-criteria decision making technique. We then give a group decision making method based on TOPSIS method under fuzzy soft environment, and finally give an application of proposed method to show operation and effectiveness of method.

The interval neutrosophic set (INS) can be easier to express the incomplete, indeterminate and inconsistent information, and TOPSIS is one of the most commonly used and effective method for multiple attribute decision making, however, in general, it can only process the attribute values with crisp numbers. In this paper, we have extended TOPSIS to INS, and with respect to the multiple attribute...

In this study, we first introduce the fuzzy sets, soft sets, fuzzy soft sets and their related properties. We then present the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) that is one of classical Multiple Attribute Decision Making (MADM) methods. We also present the Grey Relation Method. In the main part of this study, we extend the TOPSIS method on the fuzzy soft se...

Ranking competing alternatives in terms of their overall performance with respect to some criterions in fuzzy environment is possible by the use of fuzzy TOPSIS methodology using interval-valued fuzzy-sets concepts. This author presents an effective fuzzy multi-criteria method based upon the fuzzy model and the concepts of positive ideal and negative ideal solution points for prioritizing alter...

Fuzzy Technique for Order Preference by Similarly to Ideal Solution (TOPSIS) is one of the most commonly used approaches in solving numerous multiple criteria decision making problems. It has been widely used in ranking of multiple alternatives with respect to multiple criteria with the superiority of fuzzy set type-1 and subjective weights. Recently, fuzzy TOPSIS has been merged with interval ...

Multicriteria decision making ~MCDM! methods can be powerful aids for evaluating patients’ medical information in medical diagnostic systems. Technique ordered preference by similarity to the ideal solution ~TOPSIS! is one of the more widely used MCDM methods in decision support systems. For the purpose of this work, the TOPSIS method is modified into a more suitable form and used for the imple...

Ranking competing alternatives in terms of their overall performance with respect to some criterions in fuzzy environment is possible by the use of fuzzy TOPSIS methodology using interval-valued fuzzy-sets concepts. This author presents an effective fuzzy multi-criteria method based upon the fuzzy model and the concepts of positive ideal and negative ideal solution points for prioritizing alter...