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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.

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