Skip to main content
. 2025 Feb 5;14:103202. doi: 10.1016/j.mex.2025.103202
Rule 1 If a fuzzy set does not have a Fuzzy Logical Relationship (FLR), (Ai), andY(t1)at time
t1falls intoAi, then the forecast valueFtismi, wheremiis the midpoint of intervalxi.
Rule 2. If the Fuzzy Logical Relationship Group (FLRG)Airepresents a one-to-one relationship
(AiAq), andY(t1)at timet1falls into stateAi, then the forecast valueFtis mq, where mq is the midpoint ofxqin the FLRG formed at timet1.
Rule 3. If the FLRGAirepresents a one-to-many relationship (AjA1,A2,A3,...,Aq, j = 1, 2, 3, …, q), andY(t1)at timet1falls into stateAj, the forecastF(t)is calculated as:
F(t)=m1Pi1+m2Pi2++mi1Pi(i1)+Y(t)Pii+mi+1+1Pi(i+1)++mnPin(7)
where,m1,m2,,mnare the midpoints ofu1,u2,,un and miis replaced withY(t)for stateAito improve forecasting accuracy.