Elsevier

Fuzzy Sets and Systems

Volume 87, Issue 1, 1 April 1997, Pages 47-56
Fuzzy Sets and Systems

Reasoning conditions on Kóczy's interpolative reasoning method in sparse fuzzy rule bases. Part II

https://doi.org/10.1016/S0165-0114(96)00031-0Get rights and content

Abstract

In our pre-work, the two sufficient and necessary conditions have been given on Kóczy'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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