An extensive operational law for monotone functions of LR fuzzy intervals with applications to fuzzy optimization
نویسندگان
چکیده
The operational law proposed by Zhou et al. (J Intell Fuzzy Syst 30(1): 71–87, 2016) contributes to developing fuzzy arithmetic, while its applicable conditions are confined strictly monotone functions and regular LR numbers, which hindering their from dealing with more general cases, such as problems formulated variables represented intervals (e.g., trapezoidal numbers). In order handle cases we generalize the of in both monotonicity function this paper then apply extensive (but not necessarily monotone) regard (LR-FIs) (of numbers special cases). Specifically, derive computational formulae for expected values (EVs) LR-FIs LR-FIs, respectively. On other hand, develop a solution scheme dispose optimization programming is converted deterministic equivalent one newly devised algorithm utilized get solved. numerical experiments conducted using our traditional simulation-based genetic context purchasing planning problem. Computational results show that method much efficient, yielding high-quality solutions.
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ژورنال
عنوان ژورنال: Soft Computing
سال: 2022
ISSN: ['1433-7479', '1432-7643']
DOI: https://doi.org/10.1007/s00500-022-07434-9