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A multi-attribute decision making procedure using fuzzy numbers and hybrid aggregators

Anath Rau, Krishnan (2014) A multi-attribute decision making procedure using fuzzy numbers and hybrid aggregators. PhD. thesis, Universiti Utara Malaysia.

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Abstract

The classical Analytical Hierarchy Process (AHP) has two limitations. Firstly, it disregards the aspect of uncertainty that usually embedded in the data or information
expressed by human. Secondly, it ignores the aspect of interdependencies among attributes during aggregation. The application of fuzzy numbers aids in confronting the former issue whereas, the usage of Choquet Integral operator helps in dealing with the later issue. However, the application of fuzzy numbers into multi-attribute decision making (MADM) demands some additional steps and inputs from decision
maker(s). Similarly, identification of monotone measure weights prior to employing Choquet Integral requires huge number of computational steps and amount of inputs from decision makers, especially with the increasing number of attributes. Therefore, this research proposed a MADM procedure which able to reduce the number of computational steps and amount of information required from the decision makers
when dealing with these two aspects simultaneously. To attain primary goal of this
research, five phases were executed. First, the concept of fuzzy set theory and its application in AHP were investigated. Second, an analysis on the aggregation operators was conducted. Third, the investigation was narrowed on Choquet Integral and its associate monotone measure. Subsequently, the proposed procedure was developed with the convergence of five major components namely Factor Analysis,
Fuzzy-Linguistic Estimator, Choquet Integral, Mikhailov‘s Fuzzy AHP, and Simple Weighted Average. Finally, the feasibility of the proposed procedure was verified by solving a real MADM problem where the image of three stores located in Sabak Bernam, Selangor, Malaysia was analysed from the homemakers‘ perspective. This research has a potential in motivating more decision makers to simultaneously include uncertainties in human‘s data and interdependencies among attributes when
solving any MADM problems.

Item Type: Thesis (PhD.)
Supervisor : Mat Kasim, Maznah and Engku Abu Bakar, Engku Muhammad Nazri
Item ID: 4462
Uncontrolled Keywords: Analytical Hierarchy Process (AHP), Choquet Integral, Fuzzy set theory, Multi-Attribute Decision Making (MADM).
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Q Science > QA Mathematics > QA71-90 Instruments and machines
Divisions: Awang Had Salleh Graduate School of Arts & Sciences
Date Deposited: 25 Mar 2015 01:37
Last Modified: 24 Apr 2016 08:44
Department: Awang Had Salleh Graduate School of Arts and Sciences
Name: Mat Kasim, Maznah and Engku Abu Bakar, Engku Muhammad Nazri
URI: https://etd.uum.edu.my/id/eprint/4462

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