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Dr. Mohamed Aly Elsayed Fahim :: Publications: |
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| Title: | Stability of Parametric Intuitionistic Fuzzy Multi-Objective Fractional Transportation Problem. |
| Authors: | 7. M. A. El Sayed, M. A. El-Shorbagy, F. A. Farahat, A. F. Fareed, M. A. Elsisy |
| Year: | 2021 |
| Keywords: | multi-objective programming; fractional transportation problem; intuitionistic fuzzy set; parametric programming |
| Journal: | fractal and fractional |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Mdpi |
| Local/International: | International |
| Paper Link: | |
| Full paper | Mohamed Aly Elsayed Fahim_fractalfract-05-00233.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In this study, a parametric intuitionistic fuzzy multi-objective fractional transportation problem (PIF-MOFTP) is proposed. The current PIF-MOFTP has a single-scalar parameter in the objective functions and an intuitionistic fuzzy supply and demand. Based on the (α,β)-cut concept a parametric (α,β)-MOFTP is established. Then, a fuzzy goal programming (FGP) approach is utilized to obtain (α,β)-Pareto optimal solution. We investigated the stability set of the first kind (SSFK) corresponding to the solution by extending the Kuhn-Tucker optimality conditions of multi-objective programming problems. An algorithm to crystalize the progressing SSFK for PIF-MOFTP as well as an illustrative numerical example is presented |
