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## Fuzzy Theory (fuzzy + theory)
## Selected Abstracts## Knowledge-based treatment planning for adolescent early intervention of mental healthcare: a hybrid case-based reasoning approach EXPERT SYSTEMS, Issue 4 2007W.M. WangAbstract: Treatment planning is a crucial and complex task in the social services industry. There is an increasing need for knowledge-based systems for supporting caseworkers in the decision-making of treatment planning. This paper presents a hybrid case-based reasoning approach for building a knowledge-based treatment planning system for adolescent early intervention of mental healthcare. The hybrid case-based reasoning approach combines aspects of case-based reasoning, rule-based reasoning and fuzzy theory. The knowledge base of case-based reasoning is a case base of client records consisting of documented experience while that for rule-based reasoning is a set of IF,THEN rules based on the experience of social service professionals. Fuzzy theory is adopted to deal with the uncertain nature of treatment planning. A prototype system has been implemented in a social services company and its performance is evaluated by a group of caseworkers. The results indicate that hybrid case-based reasoning has an enhanced performance and the knowledge-based treatment planning system enables caseworkers to construct more efficient treatment planning in less cost and less time. [source] ## An adaptive control system using the fuzzy theory for transient multi-physics numerical simulations, INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 6-8 2007Toshiharu MuramatsuAbstract An adaptive control system to yield optimum time step sizes was developed using the fuzzy theory for transient multi-physics numerical simulations. Applications of the control system reveal considerable amount of the computing time savings, typically by 50,75% of the computing time required when the time step size was not controlled by the system. The result obtained in this work is very encouraging in the sense that the adaptive control system would be used as one of the efficient measures for saving computing time when one wishes to perform extremely large-scale computations in transient multi-physics numerical simulations. Copyright © 2007 John Wiley & Sons, Ltd. [source] ## A graphical method to construct a phylogenetic tree INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, Issue 9 2006Weiping WangAbstract A 3D graphical representation of DNA sequences, which has no circuit or degeneracy, is derived for mathematical denotation of DNA sequence. Based on this graphical representation, we propose a new sequence distance measure. We make use of the corresponding similarity matrix to construct a phylogenic tree by virtue of the fuzzy theory. The examination of phylogenic tree belong to eight species illustrates the utility of our approach. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006 [source] ## Omitting types in fuzzy logic with evaluated syntax MLQ- MATHEMATICAL LOGIC QUARTERLY, Issue 3 2006Petra MurinováAbstract This paper is a contribution to the development of model theory of fuzzy logic in narrow sense. We consider a formal system Ev, of fuzzy logic that has evaluated syntax, i. e. axioms need not be fully convincing and so, they form a fuzzy set only. Consequently, formulas are provable in some general degree. A generalization of Gödel's completeness theorem does hold in Ev,. The truth values form an MV-algebra that is either finite or ,ukasiewicz algebra on [0, 1]. The classical omitting types theorem states that given a formal theory T and a set ,(x1, , , xn ) of formulas with the same free variables, we can construct a model of T which omits ,, i. e. there is always a formula from , not true in it. In this paper, we generalize this theorem for Ev,, that is, we prove that if T is a fuzzy theory and ,(x1, , , xn ) forms a fuzzy set , then a model omitting , also exists. We will prove this theorem for two essential cases of Ev,: either Ev, has logical (truth) constants for all truth values, or it has these constants for truth values from [0, 1] , , only. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source] |