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

This paper therefore proposes an alternate version of measure identification method that synchronously compensates the shortcomings associated with each existing method. | An alternate method to determine-measure values prior to applying Choquet integral in a multi-attribute decision making environment Decision Science Letters 8 2019 193 210 Contents lists available at GrowingScience Decision Science Letters homepage www.GrowingScience.com dsl An alternate method to determine -measure values prior to applying Choquet integral in a multi-attribute decision making environment Anath Rau Krishnana Siti Nur Aqilah Ab Wahaba Maznah Mat Kasimb and Engku Muhammad Nazri Engku Abu Bakarb aLabuan Faculty of International Finance Universiti Malaysia Sabah Jalan Sg. Pagar 87000 Labuan FT Malaysia bInstitute of Strategic Industrial Decision Modeling School of Quantitative Sciences Universiti Utara Malaysia 06010 Sintok Kedah Malaysia CHRONICLE ABSTRACT Article history Determining 2 values of fuzzy measure prior to applying Choquet integral normally turns into Received March 12 2018 a complex undertaking especially when the decision problem entails a large number of Received in revised format evaluation attributes . Many patterns of fuzzy measure have thus been suggested to deal with May 13 2018 Accepted June 6 2018 this complexity. -measure is one such pattern. However the original -measure identification Available online method was found to be unsuccessful in providing clear-cut indications on the relationships held June 6 2018 by the attributes. A revised version of the method was then introduced to tackle this issue but Keywords unfortunately it requires a large amount of initial data from the respondents compared to the Choquet integral original method. This paper therefore proposes an alternate version of -measure identification Fuzzy measure method that synchronously compensates the shortcomings associated with each existing method. Interpretive structural modelling The proposed method uses interpretive structural modelling ISM to uncover the actual Multi-attribute decision problems relationships held by the attributes. The outputs of ISM