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Keywords = trapezoidal fuzzy neutrosophic numbers

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30 pages, 435 KB  
Article
Dombi Aggregation of Trapezoidal Neutrosophic Number for Charging Station Decision-Making
by Mohammed Alqahtani
Symmetry 2025, 17(8), 1195; https://doi.org/10.3390/sym17081195 - 26 Jul 2025
Cited by 1 | Viewed by 739
Abstract
In engineering and decision sciences, trapezoidal-valued neutrosophic fuzzy numbers (TzVNFNs) have become effective tools for managing imprecision and uncertainty in multi-attribute group decision-making (MAGDM) problems. This work introduces accumulation operators based on the Dombi t-norm [...] Read more.
In engineering and decision sciences, trapezoidal-valued neutrosophic fuzzy numbers (TzVNFNs) have become effective tools for managing imprecision and uncertainty in multi-attribute group decision-making (MAGDM) problems. This work introduces accumulation operators based on the Dombi t-norm (DTn) and Dombi t-conorm (DTcn) specifically designed for TzVNFNs. These operators enhance the flexibility, consistency, and fairness of the aggregation process. To demonstrate their practical applicability, we propose three novel geometric aggregation operator’s namely, the trapezoidal-valued neutrosophic fuzzy Dombi weighted geometric (TzVNFDWG), the trapezoidal-valued neutrosophic fuzzy Dombi ordered weighted geometric (TzVNFDOWG), and the trapezoidal-valued neutrosophic fuzzy Dombi hybrid Geometric (TzVNFDHG) operators. These are incorporated into a systematic MAGDM framework to support the selection of optimal locations for charging stations. Comparative analysis with current decision-making methodologies highlights the efficacy and benefits of the suggested method. The suggested method provides a flexible and mathematically based choice framework designed for uncertain condition. Full article
(This article belongs to the Section B: Mathematics)
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22 pages, 3682 KB  
Article
Shortest Path Solution of Trapezoidal Fuzzy Neutrosophic Graph Based on Circle-Breaking Algorithm
by Lehua Yang, Dongmei Li and Ruipu Tan
Symmetry 2020, 12(8), 1360; https://doi.org/10.3390/sym12081360 - 14 Aug 2020
Cited by 14 | Viewed by 4746
Abstract
The shortest path problem is a topic of increasing interest in various scientific fields. The damage to roads and bridges caused by disasters makes traffic routes that can be accurately expressed become indeterminate. A neutrosophic set is a collection of the truth membership, [...] Read more.
The shortest path problem is a topic of increasing interest in various scientific fields. The damage to roads and bridges caused by disasters makes traffic routes that can be accurately expressed become indeterminate. A neutrosophic set is a collection of the truth membership, indeterminacy membership, and falsity membership of the constituent elements. It has a symmetric form and indeterminacy membership is their axis of symmetry. In uncertain environments, the neutrosophic number can more effectively express the edge distance. The objectives in this study are to solve the shortest path problem of the neutrosophic graph with an edge distance expressed using trapezoidal fuzzy neutrosophic numbers (TrFNN) and resolve the edge distance according to the score and exact functions based on the TrFNN. Accordingly, the use of a circle-breaking algorithm is proposed to solve the shortest path problem and estimate the shortest distance. The feasibility of this method is verified based on two examples, and the rationality and effectiveness of the approach are evaluated by comparing it with the Dijkstra and Bellman algorithms. Full article
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