2016
DOI: 10.1016/j.psra.2016.09.014
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Fuzzy risk analysis in familial breast cancer using a similarity measure of interval-valued fuzzy numbers

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Cited by 10 publications
(6 citation statements)
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“…Similar to generalized fuzzy numbers, these numbers can find a trapezoidal shape. Each IVFNs include an upper bound and lower bound, whose membership functions are defined as follows (Sen et al , 2016):andwhere A~L and A~U denote, respectively, the membership functions of lower bound and upper bound, while λ and imply the most likely value of membership function related to upper bound and lower bound, respectively. Figure 2 presents the normal TFNs together with IVFNs and the generalized IVFNs.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Similar to generalized fuzzy numbers, these numbers can find a trapezoidal shape. Each IVFNs include an upper bound and lower bound, whose membership functions are defined as follows (Sen et al , 2016):andwhere A~L and A~U denote, respectively, the membership functions of lower bound and upper bound, while λ and imply the most likely value of membership function related to upper bound and lower bound, respectively. Figure 2 presents the normal TFNs together with IVFNs and the generalized IVFNs.…”
Section: Methodsmentioning
confidence: 99%
“…Similar to generalized fuzzy numbers, these numbers can find a trapezoidal shape. Each IVFNs include an upper bound and lower bound, whose membership functions are defined as follows (Sen et al, 2016):…”
Section: Fuzzy Set Theorymentioning
confidence: 99%
“…numerical value form and interval value form) allow the non-homogeneous risk analyst's preferences elicitation that are completely known, completely unknown, partially known and partially unknown, to be consistently represented. Therefore, a novel fuzzy risk analysis method that is developed from the grey number perspective and structure of fuzzy risk analysis (Jana & Ghosh, 2018;Du & Hu, 2017;Sen et al, 2016) is proposed for the first time here. The proposed method first resolves the uncertain interactions between homogeneous and non-homogeneous natures of risk analyst's preferences elicitation by using a novel consensus reaching approach that transforms grey number forms into grey parametric fuzzy numbers.…”
Section: Methods Formulationmentioning
confidence: 99%
“…When analyzing the uncertain factors of large and complex equipment and systems, it is difcult to obtain the real distribution of uncertain variables because of the large amount of data, but it is relatively convenient to obtain the interval bounds of uncertain variables, and the amount of data required is relatively small [5]. Many researchers are looking for efective methods to reduce the computational burden and improve computational accuracy [6][7][8], while the interval number method has been proposed in the feld of mathematics. Interval design optimization is an uncertainty optimization method that does not need to calculate the probability distribution function of uncertain design variables, which uses interval range to characterize the uncertainty range of variables.…”
Section: Introductionmentioning
confidence: 99%