SIFNP: Simulation-Based Interval-Fuzzy Nonlinear Programming for Seasonal Planning of Stream Water Quality Management

A cooperative neural dynamic model for solving general convex nonlinear optimization problems with fuzzy parameters and an application in manufacturing systems

“…Example 4 (45). Consider the following FNLOP (the crisp properties are from Reference 45): where 1 = (0, 1, 2), 2 = (1, 2, 3), 3 = (2, 3, 4), 8 = (7, 8, 9), 10 = (9, 10, 11), 12 = (11,12,13).…”

“…In light of advanced computing systems, FNLOP becomes one of the most promising approaches to solve practical application problems. FNLOP has been recently utilized in finance and engineering problems more frequently 11–17 . For example, Zhu et al 11 suggested an interval FNLOP scheme for seasonal planning, in Reference 12 Wu and Liao addressed a FNLOP approach to evaluate processes by imprecise data, in Reference 13, Zhu et al addressed an interval‐parameter FNLOP scheme for stream water quality management under uncertainty, in Reference 14, Tang and Wang utilized a type of FNLOP for modeling a manufacturing system, in Reference 15, Lu and Liu expanded a fuzzy optimization model to calculate the fuzzy S/Nratio for the assessment of the manufacturing processes with fuzzy observations, in Reference 12, Wu and Liao established fuzzy numbers to perform the quality characteristic measurements, and a nonlinear programming scheme was applied to solve the fuzzy estimator, in Reference 16, Mousavi et al employed a distance‐based decision framework for multi‐attributes analysis by studying intuitionistic fuzzy sets and grey relations with an application to the inspection planning in manufacturing firms, and in Reference 17, Hsu et al indicated an agent‐based fuzzy constraint‐directed negotiation mechanism to solve distributed job shop scheduling problems, and the experimental results announced that their model can organize cost‐effective job shop scheduling.…”

Different optimisation tasks used in water quality management

“…Another approach for the management of water quality is fuzzy programming-this is not analysed in this paper [10][11][12].…”