In this article, we introduce the notions of a soft -comparable contraction and soft comparable Meir-Keeler contraction in a soft metric space. Furthermore, we prove two soft fixed point theorems which assure the existence of soft fixed points for these two types of comparable contractions. The obtained results not only generalize but also unify many recent fixed point results in the literature.
Fuzzy Logic Systems are a kind of nonlinear systems. Because of their self-learning capabilities, researchers have studied the theory of how to synthesis the rule bases of the fuzzy logic controllers for many years, in order to design the Adaptive Fuzzy Logic Controllers (AFLC). On the other hand, many hardware implementations of traditional Fuzzy Logic Controllers (FLC) have been presented by today. As the successful results have been presented in both areas, it is reasonable to begin the study of hardware implementation of adaptive fuzzy logic controllers. We have developed a kind of fuzzy logic systems' self-learning algorithm, and begin to design an AFLC's chip now. In this paper, we have presented a kind of analog cell to achieve some arithmetic mean computing operation. This arithmetic computing operation is needed in the learning algorithm. The whole circuit is a kind of switched-capacitor circuit. We have achieved this cell's circuit design and HSPICE simulation, and the results are successful.
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