FUZZY SEQUENTIAL CIRCUIT DESIGN -A RESEARCH PROJECT OF WEST BENGAL UNIVERSITY OF TECHNOLOGY -SABYASACHI CHAKRABORTY -SR.LECTUERER(IT/CSE) -ICFAI UNIVERSITY-SIKKIM

BASIC CONCEPT OF FUZZY LOGIC INTEGRAL COMPONENT OF ARTIFICIAL INTELLIGENCE BREAKS THE BOOLEAN ALGEBRAIC CONVENSION BASED ON BINARY VALUES AND BROADENS IT’S SCOPE. INCREAS SCALABILITY INCORPORATES INTELLIGENCE INTO THE COMPUTER SYSTEM.

BASIC FEATURES OF SEQUENTIAL CIRCUIS PROCESSING AND STORING.OUT PUT RE-USED IN THE NEXT PERIOD CONSTITUTE A MAJOR COMPONENT OF PROCESSOR REGISTERS

OBJECTIVE BREAKS THE CONTRAINTS OF BOOLEAN BASED COMPUTATION AND INCREASES THE NUMBER OF INPUT COMBINATIONS FOR A BETTER AND LARGER SET OF OUTPUTS. THE CIRCUIT WILL TEND TO PROCESS UNSTRUCTURED/INDEFINITE USER INPUTS TO PREPARE A SET OF OUTPUTS THOSE WILL PREPERFECTLY REPRESENT THE SITUATION.

THE DESIGN METHODOLOGY DERIVATION OF FUZZY EXPRESSIONS TO REPRESENT INPUT OUTPUT RELATIONS. RE-MODELLING OF GATE LEVEL DESIGNS AND CONVERTING THE BOOLEAN EXPRESSIONS INTO FUZZY EXPRESSIONS. KEEPING THE NECESSARY COMPONETS OF BOOLEAN SYSTEM INTACT TO REPRESENT ACCURACY.

A BASIC COMPONENT OF SEQUENTIAL CIRCUIT (J-K FLIP FLOP) THE CONVENTIONAL INPUT OUTPUT RELATION BASED ON BOOLEAN PRINCIPLE: J K Q(T+1) 0 0 Q(T) {Q(T)} C Reset Type: Q(T+1)= J.{Q(T)} C + {K} C Q(T) Set Type: Q(T+1)= J+{Q(T)}. {(K) C +Q(T) C }

FUZZY BASED MODELLING OF INPUT- OUTPUT RELATIONS (FEW SAMPLE RESULTS OF THE RESEARCH)

Case 1 :If J=K Subcase-i: J=0,K=0 Q(t+1)=Q(t) – No Change, regardless of Q(t). Subcase-ii: J<.5 and K<.5 If Q(t)<J then Q(t+1)=J Otherwise If Q(t)>=J and Q(t)<= ⌐J then Q(t+1)=Q(t) – (No Change) Otherwise Q(t+1)= ⌐J. Subcase-iii. J=.5, K=.5 Q(t+1)=.5 regardless of Q(t). Subcase-iv. J>.5, K>.5 If Q(t) < ⌐J then Q(t+1)= J Otherwise If Q(t)>J then Q(t+1)= ⌐J Otherwise Q(t+1)= Q(t+1)= ⌐Q(t) (Toggle) Subcase-v. J=1,K=1 Q(t+1)= ⌐Q(t) (Toggle) Case -2: J ≠ K and J=⌐K Subcase i: J>K If Q(t) (- (0,1) then Q(t+1) = J Otherwise If Q(t)>=.5 then Q(t+1) = Q(t) (No change) Otherwise Q(t+1)= ⌐Q(t) (Toggle) Subcase ii: J < K Q(t+1) =J

COMPARATIVE RESULTS CONVENSIONAL BOOLEAN BASED SYSTEM 2 INPUTS=> 2 2 =4 OUTPUTS, 2 EQUATIONS FUZZY BASED SYSTEM 2 INPUTS=> 2 11 =2048 OUTPUTS, 13 EQUATIONS

CONCLUSION Fuzzy based sequential circuit will accept and capable to process indefinite and partial type inputs. The circuit will be capable to yield a much larger range of output representing all sorts of possible conditional outcomes. The circuit will completely support decision tree and neural network algorithms embedded into it by programs. Facilitates high performance and intelligent processing.

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