Abstract
Abstract In our pre-work, the two sufficient and necessary conditions have been given on Koczy's interpolative reasoning method in sparse fuzzy rule bases, to guarantee that the reasoning consequence is of triangular-type if the fuzzy rules and an observation are defined by triangular-type membership functions. However, the two conditions are too strong to use the reasoning method on practical applications. In this paper, we analyze the properties of the reasoning method in detail and give several applicable sufficient conditions on it, in order to make the reasoning consequence always a normal and convex fuzzy set.
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