Other
Lama Razouk
Abstract
The objective of this paper is to create a strong background of many algebraic structures dealing with Weak Fuzzy Complex elements. So that, we build a special transformation function that has an important role in working with variables from a Real number set instead of a Weak Fuzzy Complex set. We study ...
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The objective of this paper is to create a strong background of many algebraic structures dealing with Weak Fuzzy Complex elements. So that, we build a special transformation function that has an important role in working with variables from a Real number set instead of a Weak Fuzzy Complex set. We study its algebraic properties and models. Also, we define the Weak Fuzzy Complex function, its canonical formula and its main establishments. Therefore, we show the formulas of some famous functions and relations in Weak Fuzzy Complex variables.
On the other hand, differentiability, integrability and continuity of Weak Fuzzy Complex functions in one variable will be presented in terms of theorems, as well, many related examples will be illustrated to clarify the validity of our work.
Other
Abbasali Monzeli; Behrouz Daneshian; Gasem Tohidi; Masud Sanei; Shabnam Razavian
Abstract
Data Envelopment Analysis (DEA) is one of the well-known methods for calculating efficiency, determining efficient boundaries and evaluating efficiency that is used in specific input and output conditions. Traditional models of DEA do not try to reduce undesirable outputs and increase undesirable inputs. ...
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Data Envelopment Analysis (DEA) is one of the well-known methods for calculating efficiency, determining efficient boundaries and evaluating efficiency that is used in specific input and output conditions. Traditional models of DEA do not try to reduce undesirable outputs and increase undesirable inputs. Therefore, in this study, in addition to determining the efficiency of Decision-Making Units (DMU) with the presence of some undesirable input and output components, its effect has also been investigated on the efficiency limit. To do this, we first defined the appropriate production possibility set according to the problem assumptions, and then we presented a new method to determine the unfavorable performance of some input and output components in decision-making units. And we determined the impact of unfavorable inputs and outputs on the efficient boundary. We also showed the model result by providing examples for both unfavorable input and output states and solving them and determining the efficiency score and driving them to the efficient boundary by plotting those boundaries.
