Reasonable properties for the ordering of fuzzy quantities (I)

By Xuzhu Wang, Etienne E. Kerre. Fuzzy Sets Syst., 2001

776 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/53ac1d027f787cdc96c78584b9ef9cd97d40279b

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In Computational Theory and Mathematics

In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems (2010, background): “Wang and Kerre [25] proposed seven axioms A1–A7 which serve as reasonable properties for working out the rationality of a rankingmethod for the ordering of fuzzy quantities.”
Introduction to the Analytic Hierarchy Process (2014, methodology): “The interested reader can refer to Wang and Kerre [133] and Brunelli and Mezei [30] for an axiomatic and a numerical study of methods for ranking fuzzy numbers, respectively.”
Modeling uncertainty in multi-criteria decision analysis (2012, background): “There are a large number of ranking methods – certainly more than 50, based on reviews in [32,139,140] and our own more recent searches – and these can almost always be chosen independently of the choice of aggregation model in the first stage.”
A multicriteria intuitionistic fuzzy group decision making for plant location selection with ELECTRE method (2012, positive): “ð10Þ We say e A > e B iff e A > f e B : The function fðe AÞ satisfies the seven axioms A1-A7 proposed by Wang and Kerre [51] for the ordering of fuzzy quantities.”
Fuzzy p-value in testing fuzzy hypotheses with crisp data (2008, background): “There are many ways to carry out this comparison, see, for example, Dubois and Prade (1988); Wang and Kerre (2001), and Denœux et al. (2005).”
Comparison of fuzzy numbers using a fuzzy distance measure (2002, background): “Bass & Kwakernaak [4] 1 : p 0.420 0.330 0.300 0.270 0.270 * 0.370 0.270 0.270 * 0.450 0.370 0.270 0.420 0.330 g 0.550 0.400 0.340 0.300 0.240 0.420 0.350 0.350 * 0.530 0.400 0.280 0.440 0.370 r : a 0.280 0.230 0.220 0.200 0.230 0.270 0.190 0.190 * 0.310 0.280 0.210 0.340 0.240 Kerre [13] 1.000 0.860”
A feasible implementation procedure for interval analysis method from measurement data (2014, background): “Wang and Kerre [34,35] classified the ranking methods into three categories and figured out the rationality of an ordering procedure.”