Efficiency assessment using fuzzy production possibility set and enhanced Russell Graph measure
نویسندگان
چکیده
Abstract This paper studies the efficiency assessment of Decision Making Units (DMUs) when their inputs and outputs are fuzzy sets. An axiomatic derivation production possibility set is presented a enhanced Russell graph measure formulated using arithmetic approach. The proposed approach uses polygonal sets LU-fuzzy partial orders, provides crisp measures (and associated ranking) as well efficient targets. has been compared with other DEA approaches on different datasets from literature, results show that it more discriminant power flexibility in modelling input output data.
منابع مشابه
Fuzzy Efficiency Measure with Fuzzy Production Possibility Set
The existing data envelopment analysis (DEA) models for measuring the relative efficiencies of a set of decision making units (DMUs) using various inputs to produce various outputs are limited to crisp data. The notion of fuzziness has been introduced to deal with imprecise data. Fuzzy DEA models are made more powerful for applications. This paper develops the measure of efficiencies in input o...
متن کاملEFFICIENCY IN FUZZY PRODUCTION POSSIBILITY SET
The existing Data Envelopment Analysis models for evaluating the relative eciency of a set of decision making units by using various inputs to produce various outputs are limited to crisp data in crisp production possibility set. In this paper, rst of all the production possibility set is extended to the fuzzy production possibility set by extension principle in constant return to scale, and th...
متن کاملEnhanced Russell measure in fuzzy DEA
Abstract: The radial measures of classical DEA models (CCR, BCC) are incomplete, they are only separate measures of input and output efficiency and their efficiency index omit the non-zero input and output slacks. Enhanced Russell graph measure (ERM) eliminates these deficiencies. All of the existing fuzzy DEA models are extension of CCR or BCC model, efficiencies of DMUs, ultimately, are solut...
متن کاملInverse DEA Using Enhanced Russell Measure in the Presence of Fuzzy Data
The present study deals with the inverse DEA using the non-radial Enhanced Russell (ER)-measure in the presence of fuzzy data. This paper proposes a technique to treat the fuzzy data in the problem of simultaneous estimation of input-output levels. Necessary and sufficient conditions are provided for ER-measure maintaining in the presence of fuzzy data. A numerical example with real data is pre...
متن کاملTechnically Efficient Targets for the Groups by Using the Centralized Scenario and Enhanced Russell Measure
Cooper et al. [Efficiency aggregation with enhanced Russell measures in data envelopment analysis, Socio-Economic Planning Sciences, 41 (2007) 1–21] presented a method for measuring aggregate efficiency, using the enhanced Russell measure. In that paper, they posed questions and opened the way for new opportunities for studying and extending the proposed method and some other related fields. On...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational & Applied Mathematics
سال: 2022
ISSN: ['1807-0302', '2238-3603']
DOI: https://doi.org/10.1007/s40314-022-01780-y