Title :
The generalized expectations of the reductions for type-2 fuzzy variable
Author_Institution :
Coll. of Math. & Comput. Sci., Hebei Univ., Baoding, China
Abstract :
In fuzzy possibility theory, type-2 (T2) fuzzy variable is an appropriate tool for describing T2 fuzziness. T2 triangular fuzzy variable is one common T2 fuzzy variable. Based on the concepts of generalized credibility and generalized expectation, this paper deduces the generalized expectation formulas for the three reductions of T2 triangular fuzzy variable which are obtained by using the critical value (CV) reduction methods. While solving some optimization problems with T2 fuzzy coefficients, these formulas will be useful.
Keywords :
fuzzy set theory; optimisation; possibility theory; T2 triangular fuzzy variable; critical value reduction methods; fuzzy possibility theory; optimization problems; type-2 fuzzy variable reductions; Erbium; Fuzzy possibility theory; T2 fuzzy variable; generalized credibility; generalized expectation;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2011 International Conference on
Conference_Location :
Guilin
Print_ISBN :
978-1-4577-0305-8
DOI :
10.1109/ICMLC.2011.6016734
