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A modified TOPSIS approach for solving stochastic fuzzy multi‑level multi‑objective fractional decision making problem

OPSEARCH • 2020
العودة
معلومات البحث
المؤلفون M. A. El Sayed, Ibrahim A. Baky, & Pitam Singh
الكلمات المفتاحية Multi-level optimization · Multi-objective programming · TOPSIS · Fractional programming · Chance constrained programming · Fuzzy sets
المجلة العلمية OPSEARCH
الناشر springer
المجلد 57
العدد Not Available
الصفحات 1374-1403
publication.type International
رابط البحث Open Link
المواد المرفقة Not Available
الملخص
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.