We inaugurate two concepts, admissible hybrid fuzzy \( {\mathcal{Z}}\)-contractions and hybrid fuzzy \( {\mathcal{Z}}\)-contractions in the bodywork of b-metric spaces and establish sufficient criteria for fuzzy fixed points for such contractions. Nontrivial illustrations are constructed to support the hypotheses of our main notions. From application point of view, a handful of fixed point results of b-metric spaces endowed with partial ordering and graph are deduced. The ideas established herein unify and complement several well-known crisp and fuzzy fixed point theorems in the framework of both single-valued and set-valued mappings involving either linear or nonlinear contractions. A few important consequences of our main theorem are highlighted and analysed by using various forms of simulation functions.

我们在b度量空间的主体中引入了两个概念，可容许混合模糊\( {\mathcal{Z}}\) -收缩和混合模糊\( {\mathcal{Z}}\) -收缩，并建立足够的标准这种收缩的模糊固定点。构建非平凡的插图以支持我们主要概念的假设。从应用的角度来看，b的少数不动点结果-度量空间赋予偏序和图。在涉及线性或非线性收缩的单值和集值映射框架中，本文建立的思想统一和补充了几个众所周知的清晰和模糊不动点定理。通过使用各种形式的模拟函数，我们突出并分析了我们主要定理的一些重要结果。