Multimoora for the EU member states updated with fuzzy number theory

By Willem Karel M. Brauers, Alvydas Balezentis, Tomas Balezentis. 2011

130 citations recorded by the source corpus.

Abstract Fuzzy logic handles vague problems in various areas. The fuzzy numbers can represent either quantitative or qualitative variables. The quantitative fuzzy variables can embody crisp numbers, aggregates of historical data or forecasts. The qualitative fuzzy variables may be applied when dealing with ordinal scales. The MULTIMOORA method (Multiplicative and Multi-Objective Ratio Analysis) was updated with fuzzy number theory. The MULTIMOORA method consists of three parts, namely Ratio System, Reference Point and Full Multiplicative Form. Accordingly, each of them was modified with triangular fuzzy number theory. The fuzzy MULTIMOORA summarizes the three approaches. The problem remains how to summarize them. It cannot be done by summation as they are composed of ranks (ordinal). Indeed summation of ranks is against any mathematical logic. Another method, the Dominance Method, is used to rank the EU Member States according to their performance in reaching the indicator goals of the Lisbon Strategy 200...

Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/44b85e03cbaa21fdf3e7ec8bb6eff53024b820c6

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Citations in the corpus

Double hierarchy hesitant fuzzy linguistic term set and MULTIMOORA method: A case of study to evaluate the implementation status of haze controlling measures (2017, methodology): “The MULTIMOORA method and its extended forms have been applied to many ﬁelds such as transition economies [29] , human resource management and performance management [30] , EU Member States updating management [31] , heating losses ranking in a building [32] , supplier selection [34] and so on.”
The Interval-Valued Intuitionistic Fuzzy MULTIMOORA Method for Group Decision Making in Engineering (2015, unknown): “[52].”
Extended MULTIMOORA method based on Shannon entropy weight for materials selection (2016, methodology): “The dominance theory was employed as a tool for consolidation of subordinate rankings of the MULTIMOORA method (Brauers et al. 2011; Brauers and Zavadskas 2011, 2012).”
Extended EDAS Method for Fuzzy Multi-criteria Decision-making: An Application to Supplier Selection (2016, background): “Many researchers have applied and extended fuzzy MCDM methods in real-world problems [5], [26], [27].”
Multiple criteria decision making (MCDM) methods in economics: an overview (2011, methodology): “…et al. (2010) Evaluation of feasible alternatives and selection problem Chakraborty (2011) Applications of the method in manufacturing environment Brauers et al. (2011) MULTIMOORA with fuzzy number theory applied to EU member states assessment Method Reference Considered problem V IK O R…”