Three kinds of negations in fuzzy knowledge and their applications to decision making in financial investment

Abstract

The three kinds of negations of fuzzy information were proposed in this paper, which are contradictory negation, opposite negation, and fuzzy negation. Based on the medium predicate logic MF and the infinite-valued semantic interpretation Φ of MF, the representation and reasoning on fuzzy information and its three kinds of negations were also investigated. To show applicability of the above results, an example which assists decision making in the financial investment was discussed. Concretely, the paper introduced a new Fuzzy Production Rules whose threshold value was related to λ in Φ, and also discussed the reasoning and realization about fuzzy information and its three kinds of negations in the example. © 2010 Springer-Verlag Berlin Heidelberg.