The mutation operator is used to increase the diversity of off-springs or generated solutions which is inspired by genetic diversity from one generation of population chromosomes to the next. There are three evolutionary processes such as mutation, crossover, and selection. The non-dominated sorting genetic algorithm-II, NSGA-II, has questionable exploratory capability (Coello Coello et al. Here we use a multi-objective evolutionary algorithm based on Genetic Algorithm. 2014), for this study, we define two conflicting objectives.

As the performance of most MOEAs for problems with four or more conflicting objectives is severely deteriorated (LР“Сcken et al. MOEAs are well-suited for solving several complex multi-objective problems with two or three objectives (LР“Сcken et al. That is solved by the Multi-objective Evolutionary Algorithm (MOEA). The optimum layout design of D Flip-Flop can be defined as an optimization problem. In this study, D Flip-Flop is considered. The performance of Flip-Flop influence the performance of whole synchronous circuit, particularly in deep pipelined design (Bhargavaram and Pillai 2012). They are the important timing elements in digital circuits which have great impacts over power consumption and speed. In computers, communications, and many other systems, the flip-flops are fundamental building blocks. The layout of an electronics circuit plays an important role in the design and usability of many products (Mihajlovic et al. Based on them the power delay product quantity (PDP) is 6.32 PJ at 125 MHz Clock Frequency, LР’В =Р’В 0.18Р’В Р’Вµm, and TР’В =Р’В 27Р’В РІВРЉ. The optimum values for the design parameters of MOSFETs channel widths and power supply are discovered. To do this, the required mathematical backgrounds are presented in this study. What is more, the design parameters involving NMOS and PMOS channel widths and power supply voltage and the performance parameters including average power consumption and propagation delay time are linked. By using proposed Fuzzy NSGA-II algorithm, the more optimum values for MOSFET channel widths and power supply are discovered in search space than ordinary NSGA types. For this, an optimum fuzzy inference system with fuzzy rules is proposed to enhance the performance and convergence of non-dominated sorting Genetic Algorithm-II by adaptive control of the exploration and exploitation parameters.

The newly proposed Dual-Edge Triggered Static D Flip-Flop circuit layout is defined as a multi-objective optimization problem. Therefore the optimum performance with the lowest power consumption and acceptable delay time will be critical issue in electronics circuits. D Flip-Flop as a digital circuit can be used as a timing element in many sophisticated circuits.

D edge triggered flip flop