Lopez, Victoria and Montero de Juan, Francisco Javier and Garmendia , Luis and Resconi, Germano
(2008)
*Specification and computing states in fuzzy algorithms.*
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 16
(3).
pp. 301-336.
ISSN 0218-4885

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Official URL: http://www.worldscinet.com/ijufks/16/1603/S0218488508005303.html

## Abstract

Since many complex decision making problems can be solved solely by means of an ap-propriate 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 de-sign and formal specication of algorithms can be translated into a fuzzy framework introducing fuzzy rst order logic and assert transformations. Following the classical crisp scheme we rst formalize the concepts of a fuzzy algorithm specication 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.

Item Type: | Article |
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Uncontrolled Keywords: | Fuzzy algorithms; Fuzzy specication; Decision making. |

Subjects: | Sciences > Computer science > Artificial intelligence |

ID Code: | 16192 |

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