Orlovsky's concept of decision-making with fuzzy preference relation—Further results
Fuzzy Sets and Systems
Preference relations on a set of fuzzy utilities as a basis for decision making
Fuzzy Sets and Systems
A procedure for ranking fuzzy numbers using fuzzy relations
Fuzzy Sets and Systems
Information Sciences: an International Journal
A fast method of ranking alternatives using fuzzy numbers
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Mathematical Models in Engineering and Management Science
Fuzzy Mathematical Models in Engineering and Management Science
Paper: Rating and ranking of multiple-aspect alternatives using fuzzy sets
Automatica (Journal of IFAC)
Hi-index | 0.09 |
The conventionally adopted Alternating Least squares SCALing (ALSCAL) procedure of multidimensional scaling (MDS) is a valuable mathematical scheme for analyzing data in areas where organized concepts and underlying dimensions are inadequately defined or developed. Fuzzy set theory (FST) attempts to formulate human reasoning and perceptions, therefore targeting problems in areas where human factors significantly impact the result of decision-making. To our knowledge, the FST and ALSCAL approaches have not yet been integrated. This study integrates and modifies the FST and ALSCAL procedures. Fuzzy data collected from fuzzy questionnaires are adopted as the input of the MDS, ensuring that the uncertainty of input data can be incorporated into the analysis. The conventionally adopted ALSCAL procedure is then modified to cope with fuzzy input data by adopting the notion of fuzzy distances, fuzzy disparities and fuzzy ranking to represent the similarities between fuzzy data. Related approximation operations of the triangular fuzzy number are also introduced to facilitate computation in fuzzy ALSCAL.