Seiji Saito

L-fuzzy optimization problems by parametric representation

In this study we give a new representation of fuzzy numbers with bounded supports and also we show that fuzzy number means a bounded continuous curve in the two-dimensional metric space. We consider definitions of the addition, subtraction and product which are defined by the extensions principle due to Zadeh and many other theoreticians of fuzzy logic as well as we show parametric representation of the operations between fuzzy numbers. Our aim of this research is to establish solving fuzzy optimization problems which consist of nonlinear or linear objective functions and constraints including fuzzyness. We have two important problems. One is to deal with some order relation, which are linear or the other. The other is to get criterion for the optimal solutions,by considering saddle points of the Lagrangian functions.

Photonic DNA computing: concept and implementation

As a novel computing paradigm extended from conventional methods in optical computing, photonic DNA (deoxyribonucleic acid) computing has been proposed. Photonic DNA computing merges two interesting computational frameworks, i.e., optical computing and DNA computing, to explore a new field of computing technology. Complementary combination of optical techniques and molecular processing is expected to provide a new generation of computing paradigm for massively parallel and high performance computing. In this paper, the concept of photonic DNA computing is introduced and the current status of research activities is presented.

Fuzzy Differentials and Deterministic Approaches to Fuzzy Optimization Problems

We consider some types of fuzzy differentials of fuzzy functions which map from open sets in normed spaces to sets of fuzzy sets. In the field of studying fuzzy differentials, there are many fruitful results, i.e., due to Puri and Ralescu, Goetschel and Voxman, Dubois and Prade,and Furukawa, etc. We introduce some fuzzy differentials which are corresponding to the Dini’s derivatives as well as apply a deterministic method to some fuzzy optimization problems.

Evaluation of fundamental characteristics of information systems based on photonic DNA computing

In this paper, the characteristics of information systems based on photonic DNA computing are evaluated by simply modeling. Fundamental features of photonic DNA computing clarified with calculations of its performance suggest that selecting applications suitable for photonic DNA computing systems is important. We also considered a simple algorithm for solving the maximum clique problem and found that photonic DNA computing is effective to reduce the amount of DNA strands used and processing time compared to the conventional DNA computing.

Multi-Objective Facility Location Problems in Competitive Environments

In this paper we propose a new model of competitive facility location on a plain. We consider the two objectives that are maximization of reward for a firm and convenience of facility location for customers. We formulate the model as a single facility location problem under the condition that a competitive facility has been already located. We construct efficient algorithms to solve the problem, and give numerical experiments to illustrate our algorithms.

Fuzzy optimization problems by parametric representation in the two-dimensional metric space

The authors present a novel representation of fuzzy numbers with bounded supports and also show that a fuzzy number means a bounded continuous curve in the two-dimensional metric space. We consider definitions of the addition, subtraction and product which are defined by the extensions principle due to Zadeh and many other theoreticians of fuzzy logic, as well as showing parametric representation of the operations between fuzzy numbers. The aim of the research is to solve fuzzy optimization problems which consist of nonlinear or linear objective functions and constraints including fuzziness. There are two important problems. One is dealing with some order relation, which is linear or not, and the other is to get a criterion for optimal solutions by considering saddle points of Lagrangian functions.

On periodic solutions for the periodic quasilinear ordinary differential system containing a parameter

On etudie la dependance par rapport a un parametre λ des solutions T-periodiques pour le systeme differentiel quasi-lineaire T-periodique x=A(t, x, λ)x+λF(t, x, λ)+f(t)