Banu K Ashma, Vimala J, Kausar Nasreen, Stević Željko
Department of Mathematics, Alagappa University, Tamil Nadu, India.
Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Istanbul, Turkey.
PeerJ Comput Sci. 2024 Jul 23;10:e2165. doi: 10.7717/peerj-cs.2165. eCollection 2024.
In this manuscript, we delve into the realm of lattice ordered complex linear diophantine fuzzy soft set, which constitutes an invaluable extension to the existing Fuzzy set theories. Within this exploration, we investigate basic operations such as and , together with their properties and theorems. This manuscript is more amenable in two ways, ., it enables real-life problems involving parametrization tool and applications with an existing order between the components of the parameter set based on the preference in the complex frame of reference. Adaptive cruise control (ACC) is a system designed for maintaining distance between two vehicles and to sustain a manually provided input speed. The purpose of cars with ACC is to avoid a collision that frequently happens nowadays, thereby improving road safety regulations amidst rising collision rates. The fundamental aim of this manuscript is to prefer an applicable car with ACC together with its latest model by defining a peculiar postulation of lattice ordered complex linear diophantine fuzzy soft set . Emphasizing real-life applicability, we illustrate the effectiveness and validity of our suggested methodology in tackling current automotive safety concerns, providing useful guidance on reducing challenges related to contemporary driving conditions.
在本手稿中，我们深入研究格序复线性丢番图模糊软集领域，它是对现有模糊集理论的宝贵扩展。在此探索过程中，我们研究诸如并和交等基本运算，以及它们的性质和定理。本手稿在两个方面更具优势，即它使涉及参数化工具的实际问题以及基于复参照系中的偏好，在参数集各分量之间具有现有顺序的应用成为可能。自适应巡航控制（ACC）是一种用于保持两辆车之间距离并维持手动提供的输入速度的系统。配备ACC的汽车的目的是避免如今频繁发生的碰撞，从而在碰撞率不断上升的情况下改善道路安全规则。本手稿的基本目标是通过定义格序复线性丢番图模糊软集的一个特殊假设，来优选一辆适用的带ACC的汽车及其最新型号。强调实际适用性，我们说明了我们所建议方法在解决当前汽车安全问题方面的有效性和正确性，为减少与当代驾驶条件相关的挑战提供了有用指导。
