Intuitionistic Fuzzy Soft Set Theoretic Approaches to α-ideals in BCI-algebrasTouqeer, Muhammad
2020 Fuzzy Information and Engineering
doi: 10.1080/16168658.2020.1751405
As an extension of the applications of soft sets in α-ideals of BCI-algebras, we have defined the idea of ‘intuitionistic fuzzy soft α-ideals’ and proved their basic properties. ‘Intuitionistic fuzzy soft BCI-algebras' and ‘intuitionistic fuzzy soft ideals' have been described with the help of concrete examples. We proved that any IFSI of a BCK-algebra is an ‘intuitionistic fuzzy soft BCK-algebra' (IFSBCKA). Afterwards we have proceeded towards the detail discussion of IFSαIs. The notion of intuitionistic fuzzy soft α-ideals in BCI-algebras is presented, the corresponding properties are proved and concrete applications are given. Connections between various types of intuitionistic fuzzy soft α-ideals and intuitionistic fuzzy soft ideals are described. Intuitionistic fuzzy soft α-ideals are characterised using the idea of soft (δ, η)-level set.
Fuzzy Model for the Priorization Analysis of Variable Quality Performance: An Approach in ShipbuildingFreitas Pinto, Priscila de Jesus; dos Santos Grecco, Cláudio Henrique; Nunes Cosenza, Carlos Alberto
2020 Fuzzy Information and Engineering
doi: 10.1080/16168658.2020.1792610
The shipbuilding industry has evolved in recent years. Some quantitative and qualitative factors influence competitiveness of shipyards. The development of shipbuilding processes depends on evolution of manufacturing techniques, planning, organization and external environment. In general, regarding performance, quantitative variables are analyzed through mathematical and linear models. However, the qualitative variables, due to its subjectivity because it deals with human perceptions, it is not common for organizations to work on the performance of these factors. Then, this is the objective of the research, to analyze qualitative factors in shipbuilding in context with the Brazilian industry. The chosen that compose the proposed model are technology and industrial location. This research presents a prioritizing evaluation model of qualitative performance variables. So, presents as original the treatment by the fuzzy sets of qualitative critical factors expressed in linguistic terms by specialists working in the Brazilian sector, resulting in the prioritization of these factors. After result, the model was applied at specific shipyard. The results converge Brazil's real scenario and show that the proposed fuzzy model might be a good qualitative performance factor evaluation tool. Finally, to identify real the distance of a specific shipyard for to this research's model prioritization pattern by brazilian specialists.
A bi-objective Optimization Model for a Dynamic Cell Formation Integrated with Machine and Cell Layouts in a Fuzzy EnvironmentGolmohammadi, Amir-Mohammad; Honarvar, Mahnoobeh; Hosseini-Nasab, Hassan; Tavakkoli-Moghaddam, Reza
2020 Fuzzy Information and Engineering
doi: 10.1080/16168658.2020.1747162
In this paper, a bi-objective optimization model is developed to integrate the cell formation and inter/intra-cell layouts in continuous space by considering fuzzy conditions to minimize the total cost of parts relocations as well as cells reconfigurations. The intra- and inter-cell movements for both parts and machines using batch sizes for transferring parts are related to the distance traveled through a rectilinear distance in a fuzzy environment. To solve the proposed problem as a bi-objective mixed-integer non-linear programming model is NP-hard, four meta-heuristic algorithms based on a multi-objective optimization structure are tackled to address the problem. In this regard, not only Genetic Algorithm (GA), Keshtel Algorithm (KA) and Red Deer Algorithm (RDA) are employed to solve the problem, but also a novel hybrid meta-heuristic algorithm based on the benefits of aforementioned algorithms is developed. Finally, by considering some efficient assessment metrics of Pareto-based algorithms, the results indicate that the proposed hybrid algorithm not only is more appropriate than the exact solver but it also outperforms the performance of individual ones particularly in medium- and large-sized problems.
A New Estimation of Road Safety Index in Transportation Systems with Fuzzy-DEA Method: A Case Study on Roads of East Azarbaijan Province in IranTeimourzadeh, Kazem; Pourmahmoud, Jafar; Kordrostami, Sohrab
2020 Fuzzy Information and Engineering
doi: 10.1080/16168658.2020.1804040
Road safety problem is an important issue which is always considered as one of the main benchmarks to assess growth and development in many countries. Many factors influence in calculating the road safety index. In the past, for calculating the road safety index, all factors affecting road safety were considered as desirable indicators. In this paper, the road safety factors are considered in two categories: desirable and undesirable indicators. Moreover, the observed values of the factors affecting the road safety index in practice are sometimes uncertain. In this study, fuzzy data envelopment analysis method is applied to calculate and evaluate road safety index. A generalised fuzzy index-maximising model is proposed to obtain an optimal road safety index, in which the optimal index is obtained as the maximum value of sum of weighted desirable–undesirable factors. In addition, the problem of ranking of the roads is investigated with regard to the optimal composite index. In order to rank the roads, a new index is suggested that discriminates the efficient roads. Finally, the proposed method is applied to evaluate the safety problem for a case study on the roads of East Azarbaijan Province in Iran.
Hesitant Fuzzy Graphs and Their ProductsJavaid, Muhammad; Kashif, Agha; Rashid, Tabasam
2020 Fuzzy Information and Engineering
doi: 10.1080/16168658.2020.1817658
In this article, the notion of hesitant fuzzy graph is introduced. It an extended structure of a fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with the system that is designed using fuzzy graphs. Several operations on hesitant fuzzy graphs are defined, namely Cartesian product, composition, tensor product and normal product. Furthermore, the relationship between the degree of vertices of the hesitant fuzzy graphs and the hesitant fuzzy graph obtained by their different products is developed. These operations are highly used in computer science, geometry, algebra, operations research, etc.
State-of-the-Art Auction Algorithms for Multi-depot Bus Scheduling Problem Considering Depot Workload Balancing ConstraintsNiksirat, M.
2020 Fuzzy Information and Engineering
doi: 10.1080/16168658.2020.1824397
This paper deals with multi-depot bus scheduling (MDBS) problem. Depot workload balancing constraints are introduced. In this case, the problem can be stated as a two-objective multi-commodity flow problem with soft constraints. Two state-of-the-art heuristics are developed including schedule-based and cluster-based heuristics, both of them extend auction algorithm. Also three different approaches are proposed to satisfy depot workload balancing constraints. The convergence of each algorithm is investigated and its complexity obtained. To illustrate the main concepts and results, a small example is solved. Also, to demonstrate the performance of the proposed algorithms, some benchmark examples are considered and CPU-time and optimality gap are compared. The results show a great improvement in the CPU time and quality of the solution of the proposed algorithms. Also the extension of the proposed algorithms under ε-scaling approach is analysed.