Derived fuzzy importance of attributes based on the weakest triangular norm-based fuzzy arithmetic and applications to the hotel services

Document Type : Research Paper


1 Department of Mathematics and Informatics, University of Oradea, Universitatii 1, Oradea , Romania

2 Department of Economics, University of Oradea, Universitatii 1, Oradea , Romania


The correlation between the performance of attributes and the overall
satisfaction such as they are perceived by the customers is often used to
calculate the importance of attributes in the crisp case. Recently, the method
was extended, based on the standard Zadeh extension principle, to the fuzzy
case, taking into account the specificity of the human thinking. The
difficulties of calculation are important and only approximations of the
analytic results can be obtained. In the present paper we give a simplified
and exact method to compute the derived importance of the attributes in the
case of input data given by triangular fuzzy numbers. The effective
calculation is based on the $T_{W}$-extension principle and it uses reasonable
computer resources even if a large number of attributes and customers is
considered. The proposed derived method is later on compared with other
methods of calculation of the fuzzy importance of attributes. The results of
a survey with respect to the quality of hotel services in Oradea (Romania)
are subject to the application of the proposed method.


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