SOLVING THE MULTI-OBJECTIVE FRACTIONAL SOLID TRANSPORTATION PROBLEM BY USING DIFFERENT OPERATORS
Journal of Mathematical Sciences (United States), cilt.289, sa.1, ss.141-153, 2025 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 289 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.1007/s10958-024-07140-x
- Dergi Adı: Journal of Mathematical Sciences (United States)
- Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.141-153
- Anahtar Kelimeler: Aggregation operators, Fractional programming, Fuzzy mathematical programming, Multi-objective linear programming, Solid transportation problem
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
This research delves into a complex problem known as the multi-objective fractional solid transportation problem (MFSTP), which deals with various fractional ratios such as cost/profit. The problem involves three main components: origin, destination, and product type or mode of transportation. While this research offers a solution to the MFSTP, it also examines the effects of different aggregation operators. In multi-objective problems, finding Pareto optimal solutions that consider the balance between objectives can be achieved through different methods. Utilizing aggregation operators, this study has found a variety of Pareto optimal solutions, expanding the decision-maker’s options. This means that it presents the decision-maker with a set of potential solutions. This allowed them to evaluate and select the operator that best suited the problem by comparing the various solutions obtained. To illustrate the solution methodology, a numerical example is provided and the obtained solutions are compared.