Title :
Optimality analysis of Type II fuzzy number embedded nonlinear function
Author :
Hyunsoo Lee ; Jinbae Kim ; Taesung Kim
Author_Institution :
Kumoh Nat. Inst. of Technol., Gumi, South Korea
Abstract :
Type II fuzzy number (T2FN) is a useful modeling tool for capturing more general ambiguity type uncertainties. It is used for representing several unfixed rules, knowhow and general dynamics. Even though the T2FN has received enormous emphases, the analyses of a T2FN embedded functions are studied comparatively less. What this paper focused on is examinations of T2FN with more general type membership functions and how the optimality of a T2FN embedded nonlinear function is calculated. A new and efficient mechanism for obtaining local/global optimum is provided with a numerical case study. The suggested method contributes to analyze a T2FN embedded nonlinear function efficiently.
Keywords :
fuzzy set theory; nonlinear functions; T2FN embedded nonlinear function; general ambiguity type uncertainties; general type membership functions; local-global optimum; optimality analysis; type II fuzzy number embedded nonlinear function; unfixed rules; Bibliographies; Mathematical model; Minimization; Particle swarm optimization; Shape; Standards; Uncertainty; Type II fuzzy number; differentiability; differentialbility; nonlinearlity; optimality; projected footprint of uncertainty;
Conference_Titel :
Fuzzy Theory and Its Applications (iFUZZY), 2014 International Conference on
Print_ISBN :
978-1-4799-4590-0
DOI :
10.1109/iFUZZY.2014.7091227