Decision making of facility locations based on Fuzzy Probability Distribution Function

Automatic geospatial data conflation using semantic web technologies

“…(e) Probability/Rating: in a real-world situation, people often need to deal with location information that is fuzzy or uncertain (Lin, Wang, & Watada, 2010).…”

A parametric assessment approach to solving facility‐location problems with fuzzy demands

“…In this paper, we dealt with a real‐life location problem and used the parameter values of the probability distribution functions to calculate the EE values. The parameter values were provided in Refs [18, 29]. We solved the facility‐location model (1) by defuzzifying the fuzzy demand.…”

“…Step 4: Calculate the probability distribution functions by simulating the parameters \documentclass{article}\usepackage{amsmath}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{amsfonts}\pagestyle{empty}\begin{document}$b_{i}, L_{1_{i}}$ \end{document}, and \documentclass{article}\usepackage{amsmath}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{amsfonts}\pagestyle{empty}\begin{document}$L_{2_{i}}$ \end{document}, ∀ i = 1,2 ,·,n , individually. [18, 19]…”

“…Now, we found the probability distribution functions by simulating b , L 1 , and L 2 , individually [18, 19]. We used the one‐sample Kolmogorov–Smirnov test to test whether the data followed some kinds of probability distribution.…”

“…Conventional research works in the past did not recognize the underlying probability distribution function of fuzzy data in their problems. Lin et al [18] proposed a way to find out the probability distribution function of fuzzy demand and solved the facility‐location model by using a two‐stage fuzzy‐random facility‐location model with recourse. The method is more accurate in considering the fuzzy data of actual demand, but consumes much computation time in solving the mathematical programming problem.…”