| publication name | A modified TOPSIS approach for solving stochastic fuzzy multi‑level multi‑objective fractional decision making problem |
|---|---|
| Authors | M. A. El Sayed, Ibrahim A. Baky, & Pitam Singh |
| year | 2020 |
| keywords | Multi-level optimization · Multi-objective programming · TOPSIS · Fractional programming · Chance constrained programming · Fuzzy sets |
| journal | OPSEARCH |
| volume | 57 |
| issue | Not Available |
| pages | 1374-1403 |
| publisher | springer |
| Local/International | International |
| Paper Link | https://link.springer.com/article/10.1007/s12597-020-00461-w |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
This paper presents a new modified technique for order preference by similarity to ideal solution (M-TOPSIS) approach for unraveling stochastic fuzzy multi-level multi-objective fractional decision making problem (ML-MOFDM) problem. In the proposed model the coefficients and the scalars of the fractional objectives have a fuzzy nature. The right-hand sides are stochastic parameters also, both of the lefthand side coefficients and the tolerance measures are fuzzy kind. In this manner, the deterministic-crisp ML-MOFDM model of stochastic fuzzy ML-MOFDM can be gotten utilizing chance constrained strategy with predominance plausibility criteria and the -cut methodology. In literature, almost all works on multi-level fractional programming are the crisp version, in which they convert the fractional functions into a linear one using a first order Taylor series which causes rounding off error. The proposed M-TOPSIS approach presents a new method for solving such problem without approximating or changing the nature of the problem. An algorithm to clear up the M-TOPSIS approach, just as illustrative numerical model is displayed.