Department of Information Management, National Yunlin University of Science and Technology, Douliou, Yunlin, Taiwan.
Department of Mathematics, University of Kotli, AJ&K, Pakistan.
PLoS One. 2024 Sep 6;19(9):e0309900. doi: 10.1371/journal.pone.0309900. eCollection 2024.
The model of bipolar complex fuzzy linguistic set is a very famous and dominant principle to cope with vague and uncertain information. The bipolar complex fuzzy linguistic set contained the positive membership function, negative membership function, and linguistic variable, where the technique of fuzzy sets to bipolar fuzzy sets are the special cases of the bipolar complex fuzzy linguistic set. In this manuscript, we describe the model of Aczel-Alsina operational laws for bipolar complex fuzzy linguistic values based on Aczel-Alsina t-norm and Aczel-Alsina t-conorm. Additionally, we compute the Aczel-Alsina power aggregation operators based on bipolar complex fuzzy linguistic data, called bipolar complex fuzzy linguistic Aczel-Alsina power averaging operator, bipolar complex fuzzy linguistic Aczel-Alsina power weighted averaging operator, bipolar complex fuzzy linguistic Aczel-Alsina power geometric operator, and bipolar complex fuzzy linguistic Aczel-Alsina power weighted geometric operator with some dominant and fundamental laws such as idempotency, monotonicity, and boundedness. Moreover, we initiate the model of the Weighted Aggregates Sum Product Assessment technique with the help of consequent theory. In the context of geographic information systems and spatial information systems, coupling aims to find out the relationships among different components within a geographic information system, where coupling can occur at many stages, for instance, spatial coupling, data coupling, and functional coupling. To evaluate the above dilemma, we perform the model of multi-attribute decision-making for invented operators to compute the best technique for addressing geographic information systems. In the last, we deliberate some numerical examples for comparing the ranking results of proposed and prevailing techniques.
双极复型模糊语言集模型是一种非常著名和主要的原则，可以用来处理模糊和不确定的信息。双极复型模糊语言集包含正-membership 函数、负-membership 函数和语言变量，其中模糊集到双极模糊集的技术是双极复型模糊语言集的特例。在本文中，我们基于 Aczel-Alsina t-范数和 Aczel-Alsina t-模，描述了基于 Aczel-Alsina 运算定律的双极复型模糊语言值的模型。此外，我们基于双极复型模糊语言数据计算了 Aczel-Alsina 幂集结算子，称为双极复型模糊语言 Aczel-Alsina 幂平均算子、双极复型模糊语言 Aczel-Alsina 幂加权平均算子、双极复型模糊语言 Aczel-Alsina 幂几何算子和双极复型模糊语言 Aczel-Alsina 幂加权几何算子，并具有一些优势和基本定律，如幂等性、单调性和有界性。此外，我们借助后件理论提出了加权聚合和乘积评估技术的模型。在地理信息系统和空间信息系统的背景下，耦合旨在找出地理信息系统中不同组件之间的关系，耦合可以发生在许多阶段，例如空间耦合、数据耦合和功能耦合。为了评估上述困境，我们对发明算子的多属性决策模型进行了评估，以计算出解决地理信息系统的最佳技术。最后，我们对一些数值实例进行了讨论，以比较提出的和流行的技术的排名结果。
