An alternate method to determine λ0-measure values prior to applying Choquet integral in a multi-attribute decision making environment

Krishnan, A.; Wahab, S.; Kasim, M.; Bakar, E.

Growing Science » Decision Science Letters » An alternate method to determine λ0-measure values prior to applying Choquet integral in a multi-attribute decision making environment

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Decision Science Letters

ISSN 1929-5812 (Online) - ISSN 1929-5804 (Print) Quarterly Publication Volume 8 Issue 2 pp. 193-210 , 2019

An alternate method to determine λ0-measure values prior to applying Choquet integral in a multi-attribute decision making environment Pages 193-210 Download PDF

Authors: Anath Rau Krishnan, Siti Nur Aqilah Ab Wahab, Maznah Mat Kasim, Engku Muhammad Nazri Engku Abu Bakar

DOI: 10.5267/j.dsl.2018.6.001

Keywords: Choquet integral, Fuzzy measure, Interpretive structural modelling, Multi-attribute decision problems

Abstract: Determining 2n values of fuzzy measure prior to applying Choquet integral normally turns into a complex undertaking, especially when the decision problem entails a large number of evaluation attributes, n. Many patterns of fuzzy measure have thus been suggested to deal with this complexity. λ0-measure is one such pattern. However, the original λ0-measure identification method was found to be unsuccessful in providing clear-cut indications on the relationships held by the attributes. A revised version of the method was then introduced to tackle this issue, but unfortunately it requires a large amount of initial data from the respondents compared to the original method. This paper therefore proposes an alternate version of λ0-measure identification method that synchronously compensates the shortcomings associated with each existing method. The proposed method uses interpretive structural modelling (ISM) to uncover the actual relationships held by the attributes. The outputs of ISM (i.e. digraph, driving power and dependence power) are then utilised to determine the inputs required to identify the complete set of λ0-measure values. A supplier selection problem was used to demonstrate the feasibility of the method. Also, the usability of the method was compared over the existing ones.

How to cite this paper

 Krishnan, A., Wahab, S., Kasim, M & Bakar, E. (2019). An alternate method to determine λ0-measure values prior to applying Choquet integral in a multi-attribute decision making environment.Decision Science Letters , 8(2), 193-210.

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