The present study considered a fuzzy natural color system (NCS) in which triangular pyramid membership functions are constructed on the NCS color triangle. This system can process a fuzzy input to an NCS system and output to a center of gravity of three weights associated with respective grades. Triangular membership functions are applied to the hue, and triangular pyramid membership functions ...

Carrie Banks, Supervising Librarian, Inclusive Services at Brooklyn Public Library Eti Berland, Youth School Engagement Wilmette (IL) Ana-Elba Pavon, Semi-retired/On-Call San Francisco

This paper presents the stability analysis and design of fuzzy controller for a nonlinear ball-and beam-system. An improved simple stability condition will be derived based on the Lyapunov's stability theory. The derived stability condition involves a smaller number of Lyapunov's conditions. A design of the membership functions of the fuzzy controller will be given. In our approach, the number ...

This paper introduces the notion of multidimensional fuzzy finite tree automata (MFFTA) and investigates its closure properties from the area of automata and language theory. MFFTA are a superclass of fuzzy tree automata whose behavior is generalized to adapt to multidimensional fuzzy sets. An MFFTA recognizes a multidimensional fuzzy tree language which is a regular tree language so that for e...

Popular method for assessment of final exam answer scripts in university and among the engineering drawing answer scripts based on absolute true or false judgment and assigning a single number or letter to answer of each problem cannot be so fair. To obtain a fair assessment method, we considered “imagination”, “accuracy”, “drawing” and “innovation” that are objectives of engineering dra...

We revisit the heterogeneous closed population multiple recapture problem, modeling individual-level heterogeneity using the Grade of Membership model (Woodbury et al., 1978). This strategy allows us to postulate the existence of homogeneous latent "ideal" or "pure" classes within the population, and construct a soft clustering of the individuals, where each one is allowed partial or mixed memb...