First Course on Fuzzy Theory and Applications

By Kwang-Hyung Lee. 2005

516 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Management Science and Operations Research

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Citations in the corpus

Continual Learning with Guarantees via Weight Interval Constraints (2022, neutral): “For all ā, a, b̄, b ∈ R where A = [a, ā] , B = [b, b̄], we can define operations such as (Lee, 2004): • addition: [a, ā] + [b, b̄] = [a+ b, ā+ b̄] • multiplication: [a, ā] ∗ [b, b̄] = [min(a ∗ b, a ∗ b̄, ā ∗ b, ā ∗ b̄),max(a ∗ b, a ∗ b̄, ā ∗ b, ā ∗ b̄)] Thus, we can use interval arithmetic…”
A supervised committee machine artificial intelligent for improving DRASTIC method to assess groundwater contamination risk: a case study from Tabriz plain aquifer, Iran (2016, background): “lRi 1⁄4 l Ai and Bi!Ci ð Þðx; y; zÞ The input data x 1⁄4 x0, y 1⁄4 y0 pass through the rule, above, to produce the final output, as below (Lee 2004):”
Fuzzy AHP to determine the relative weights of evaluation criteria and Fuzzy TOPSIS to rank the alternatives (2010, background): “Max and min operations does not give triangular fuzzy number but it is possible to express approximated values of min and max as triangular fuzzy numbers [14], we know that the elements ṽi j 8i,j are normalized positive triangular fuzzy numbers and their ranges belong to the closed interval [0,1].”
Interval response data based system identification of multi storey shear buildings using interval neural network modelling (2014, background): “For all a, a, b, b ∈ R where A = [a, a] , B = [ b, b ] , the main operations of intervals may be written as [41],”
A generalization of the Wilcoxon signed-rank test and its applications (2013, methodology): “Note that, denotes the generalized subtraction operator which is defined for crisp number c and fuzzy subset Ñ as a fuzzy subset with the membership function (c Ñ )(y) = supx;y=c−x μÑ (x) (Lee 2005).”
Neutrosophic Sets: An Overview (2018, background): “10.1 Triangular fuzzy number (Lee, 2005) A triangular fuzzy number A TIFN (See Fig.”