2016
DOI: 10.1016/j.apm.2016.01.044
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Solving the linear fractional programming problem in a fuzzy environment: Numerical approach

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Cited by 42 publications
(30 citation statements)
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“…Then, Equation (16) can be transformed by the Equation (17), which are satisfied with at the least level of ξ. a ij x j ≤ b i is at least ξ level. Then, fuzzy constraint in Equation (2b) can be converted into the following defuzzification one [35][36][37].…”
Section: Methodsmentioning
confidence: 99%
“…Then, Equation (16) can be transformed by the Equation (17), which are satisfied with at the least level of ξ. a ij x j ≤ b i is at least ξ level. Then, fuzzy constraint in Equation (2b) can be converted into the following defuzzification one [35][36][37].…”
Section: Methodsmentioning
confidence: 99%
“…In order to deal with the fuzzy fractional programming, fuzzy set theory was introduced which assume the parameters with fuzzy uncertainty are triangular fuzzy function as shown in Fig 1 [38].…”
Section: Fully Fuzzy Linear Fractional Programmingmentioning
confidence: 99%
“…Based on the arithmetic operations on fuzzy numbers [38], the FFFPM can be simplified into an equivalent bi-objective programming model, which represented as following:…”
Section: Fully Fuzzy Linear Fractional Programmingmentioning
confidence: 99%
“…Mathematical Problems in Engineering However, there are many factors affecting the sojourn time; it is regarded as a fuzzy variable in this paper. Since triangular fuzzy number has been proven to be excellent by previous literatures in solving fuzzy simulation problems [25,26], the sojourn time is regarded as a triangular fuzzy number and it can be transferred to a possibilistic value by this method. The total sojourn time of stormwater from point processed by pump station can be represented by a triangular fuzzy number̃:…”
Section: =1mentioning
confidence: 99%
“…Constraint (24) denotes that stormwater demanding service of drainage system appears only after establishment of a pump station at location is finished. Constraints (25) and (26) indicate that stormwater at point is only served by its nearest drainage pump station. Constraint (27) is a given quantity of pump stations to be constructed in this system.…”
Section: A Biobjective Model Ofmentioning
confidence: 99%