Abstract
In this paper, the Modified Technique for Order Preference by Similarity to the Ideal Solution (M-TOPSIS) model has been extended into the intuitionistic fuzzy environment. By applying the improved score function first, to represent the aggregated effect of positive and negative evaluations in the performance ratings of the alternatives based on interval-valued intuitionistic fuzzy set (IVIFS) data and in combination with the weighted normalized Euclidean distance for the computation of the separation measures of alternative(s) for the intuitionistic positive and negative ideal solutions. The two methods which have been used for the computation of the separation measure have been integrated using a new reflection defuzzification integration formula which has been introduced in this study. To prove the efficacy of the proposed model, the model have been applied for the evaluation and selection design concept for a new printed circuit board (PCB), and for a modified hypothetical example which is based on the selection of a preferred Naval vessel as a reference for a new design
Highlights
In solving multi-criteria decision-making (MCDM) problems, such as in equipment selection, material selection and in the evaluation of process performance etc., it is required that several factors/criteria are considered simultaneously before selecting or ranking alternatives
This paper extends the Modified Technique for Order Preference by Similarity to the Ideal Solution (M-TOPSIS) model for an intuitionistic fuzzy environment by implementing partly the intuitionistic algorithm proposed by Bai,(Bai, 2013), which uses improved score function for the separation measures of alternative(s) for the positive and negative ideal solutions
The proposed integrated fuzzy Delphi method and Interval-valued Intuitionistic fuzzy MTOPSIS (IVIF-MTOPSIS) model has been applied to a real life case study by evaluating and selecting the best design concept for a new printed circuit board (PCB) and for a modified hypothetical example which is based on the selection of a preferred Naval vessel as a reference for a new design
Summary
In solving multi-criteria decision-making (MCDM) problems, such as in equipment selection, material selection and in the evaluation of process performance etc., it is required that several factors/criteria are considered simultaneously before selecting or ranking alternatives. In handling vagueness and uncertainty issues, Zadeh (Zadeh, 1965), who introduced the concept of fuzzy set theory, has outlined how the fuzzy set concept could be used for characterizing complex systems and decision-making problems This breakthrough resulted in the extension of the different MCDM techniques in fuzzy environment. The proposed integrated fuzzy Delphi method and Interval-valued Intuitionistic fuzzy MTOPSIS (IVIF-MTOPSIS) model has been applied to a real life case study by evaluating and selecting the best design concept for a new printed circuit board (PCB) and for a modified hypothetical example which is based on the selection of a preferred Naval vessel as a reference for a new design.
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