in this paper, some elementary operations on triangular fuzzynumbers (tfns) are defined. we also define some operations on triangularfuzzy matrices (tfms) such as trace and triangular fuzzy determinant(tfd). using elementary operations, some important properties of tfms arepresented. the concept of adjoints on tfm is discussed and some of theirproperties are. some special types of tfms (e.g. pu...

Stiffener layout optimization of complex surfaces is fulfilled within the framework topology optimization. A combined parameterization method developed in two aspects. One to parameterize material distribution stiffener by means B-spline. The other build mapping relationship from known 3D surface mesh thin-walled structure its parametric domain parameterization. influence upon discussed reveal ...

this paper presents a strategy for using harmony search algorithm in facility layout optimization problems. in this paper an adapted harmony search algorithm is developed for solving facility layout optimization problems. this method finds an optimal facility arrangement in an existing layout. two real-world case studies are employed to demonstrate the efficiency of this model. a comparison is ...

sheet metal components design and manufacture need a great deal of experience and know-how. strip layout design is usually done with trial and error until best design for strip layout is finally achieved. knowledge for the system is formulated from plasticity theories, experimental results, and the empirical knowledge of field experts. in this paper, an algorithm which can automatically design ...

Both the quality of the results of TEX s formula layout algorithm and the complexity of its description in the TEXbook are hard to beat The algorithm is verbally described as an imperative program with very complex control ow and complicated manipulations of the data structures representing formulae In a forthcoming textbook we describe TEX s formula layout algorithm as a functional program tra...

in this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. this paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (st) decomposition. by this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix s and a fuzzy triangular matrix t.