Abstract
Decision-making in fuzzy environment is often a very complex, especially when related to predictions and assessments. The Ratio system approach of the MOORA method and Intervalvalued fuzzy numbers have already proved themselves as the effective tools for solving complex decision-making problems. Therefore, in this paper an extension of the Ratio system approach of the MOORA method, which allows a group decision-making as well as the use of interval-valued triangular fuzzy numbers, is proposed. Interval-fuzzy numbers are rather complex, and therefore, they are not practical for direct assigning performance ratings. For this reason, in this paper it has also been suggested the approach which allows the expression of individual performance ratings using crisp, interval or fuzzy numbers, and their further transformation into the group performance ratings, expressed in the form of interval-valued triangular fuzzy numbers, which provide greater flexibility and reality compared to the use of linguistic variables. Finally, in this paper the weighted averaging operator was proposed for defuzzification of interval-valued triangular fuzzy numbers.
Highlights
Decision-making is often associated with the process of selecting the best alternative from the set of available alternatives
Since the 1970s, the multiple criteria decision-making (MCDM) approach has been developed rapidly and very soon it has become a main area of research for dealing with complex decision-making problems, which require the consideration of multiple objectives or criteria (Lertprapai 2013)
In this paper an extension of the Ratio system approach of the MOORA method that enables the use of interval-valued triangular fuzzy numbers is proposed
Summary
Decision-making is often associated with the process of selecting the best alternative from the set of available alternatives. The MOORA, MULTIMOORA and their extensions were used for solving numerous problems, such as the regional development (Brauers, Zavadskas 2010b, 2011a; Brauers, Ginevicius 2010), the choice of bank loan (Brauers, Zavadskas 2011b), the personnel selection (Balezentis et al 2012a, 2012b), forming a multiple criteria decision-making framework for the energy crops prioritization (Balezentiene et al 2013), the selection of building elements for the renovation of energy efficient buildings (Kracka et al 2013), and so on In the literature, it can be identified a characteristic approach, initiated by Kalibatas and Turskis (2008), which is based on the use of the Ratio system approach of the MOORA method.
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