A modified TOPSIS approach for solving stochastic fuzzy multi‑level multi‑objective fractional decision making problem
OPSEARCH • 2020
Publication Information
Authors
M. A. El Sayed, Ibrahim A. Baky, & Pitam Singh
Keywords
Multi-level optimization · Multi-objective programming · TOPSIS ·
Fractional programming · Chance constrained programming · Fuzzy sets
Journal
OPSEARCH
Publisher
springer
Volume
57
Issue
Not Available
Pages
1374-1403
publication.type
International
Paper Link
Open Link
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.
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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