SPECIFICATION AND COMPUTING STATES IN FUZZY ALGORITHMS

Author:

LOPEZ VICTORIA1,MONTERO JAVIER2,GARMENDIA LUIS3,RESCONI GERMANO4

Affiliation:

1. Engineering and Computer Sciences, Nebrija University, Pirineos 55, Madrid, E-28040, Spain

2. Faculty of Mathematics, Complutense University, Plaza de las Ciencias 3, Madrid, E-28040, Spain

3. Faculty of Computer Science, Complutense University, Profesor García Santesmases s/n, Madrid, E-28040, Spain

4. Department of Mathematics and Physics, Catholic University, Via Musei 41, Brescia, I-25121, Italy

Abstract

Since many complex decision making problems can be solved solely by means of an appropriate algorithm, checking the quality of such algorithm is a key issue, even more relevant in the presence of fuzzy uncertainty. In this paper we postulate that the design and formal specification of algorithms can be translated into a fuzzy framework introducing fuzzy first order logic and assert transformations. Following the classical crisp scheme we first formalize the concepts of a fuzzy algorithm specification and a fuzzy computing state, and then a new fuzzy computational logic is presented, so we can derive a computational reasoning for correctness of algorithms. A proposal for the evaluation and setting of suitable degrees of truth to computing states is also introduced.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Reference34 articles.

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3. K. L. Clark, Logic and Data Bases, eds. H. Gallaire and J. Winker (Plenum Press, New York, 1973) pp. 293–306.

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