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Öğe Fuzzy generalized fractional power series technique for simulating fuzzy fractional relaxation problem(Springer link, 2022) Ebdalifar, Khatereh; Allahviranloo, Tofigh; Rostamy-Malkhalifeh, Mohsen; Behzadi, Mohammad HassanIn this paper, the fuzzy generalized fractional power series method is proposed to obtain the numerical solutions of a class of fuzzy fractional relaxation problems. For this purpose, the fuzzy generalized fractional power series under different types of the Caputo generalized Hukuhara differentiability are introduced. Some theorems are generalized for the fuzzy generalized fractional power series. This method is based on first taking the truncated fuzzy generalized fractional power series of the functions in the relaxation problem and then substituting them into the equation. Hence, the result equation can be solved, and the unknown fuzzy coefficients can be found. In addition, to demonstrate the efficiency of the method, some examples are solved. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.Öğe Interval model for calculating prospect cross efficiency of data envelopment analysis and providing a solution for its expansion in fuzzy model(SEMNAN UNIV, 2021) Rahmani, Amir; Rostamy-Malkhalifeh, Mohsen; Lotfi, Farhad Hosseinzadeh; Allahviranloo, TofighCross efficiency evaluation of data envelopment analysis (DEA) is an effective tool in measuring the performance of decision-making units. In general, in cross efficiency evaluation models, it is assumed that decision makers are completely rational, in which case they refrain from considering the risk attitude that plays an important role in the evaluation process. In order to fill this gap, cross efficiency evaluation in DEA was performed based on prospect theory. In the real world, many inputs and outputs are not known, which are called inaccurate data; what is expected is that even if one of the data is not accurate, the answer will probably not be accurate. To solve this problem, the present study presents models that are able to evaluate the prospect cross efficiency with interval data and proves the feasibility of the models by proving the theorems.