Fuzzy optimization

Cheng CT, Ou CP, Chau KW (2002) Combining a fuzzy optimal model with a genetic algorithm to solve multi-objective rainfall-runoff model calibration. J Hydrol 268 72-86... 

Keywords Heat-exchanger network Synthesis Flexibility Superstructure MILP Multi-criteria decision-making Fuzzy optimization... 

Two numerical examples with flexibility preference in source-stream temperatures is presented here to demonstrate that the proposed interactive two-phase fuzzy optimization method can provide a feasible and better compensatory solution for multi-objective HEN synthesis. 

In such a case, a unique HEN structure with satisfactory levels in nominal or average utility consumption and operational flexibility as well as unit numbers will be obtained. A two-phase fuzzy optimization method is proposed to find a best compromised solution for the multi-criteria HEN synthesis problem, as discussed in the next section. The basic number of constraints and variables for the multi-objective MTT.P formulation are summarized in the following. 

At first, only two conflict objectives are considered the minimal utility consumption and the maximal flexibility to all source-stream temperatures. And then the third objective, the minimal number of matches, would be appended. Results of two-phase fuzzy optimization with preference intervals of [2550, 12750] or [2550, 8850] for utility, [0, 150], [40, 90] or [40, 70] for flexibility, and [4, 7] for unit numbers, along with either or not considering restrictions on heat loads at extreme operating points, are listed in Table 4. The resulting HEN structures are also depicted in Fig. 2. Notably, the reduced range of flexibility, [40, 90], implies that the required minimum tolerance for temperature deviation is at least 40 K and a tolerance of maximum temperature deviation for 90 K... 

One interesting paper [164] discussed a technique called fuzzy optimal associative memory (FOAM), used for background prediction of NIR spectra. This software yields better background scans for calculation of NIR spectra of glucose in plasma matrices (from single-beam data). The FOAM software is usually used in conjunction with PLS and/or some other complex algorithm. 

P. B. Harrington and B. W. Wabuyele, Fuzzy Optimal Associative Memory for Background Prediction of Near-Infrared Spectra, Appl. Spectrosc., 50(1), 34 (1996). 

Fuzzy optimization covers the optimization of fuzzy models, involving non-probabdistic... 

Kahraman, C., Ertay, T., Buyukozkan, G. 2006. A fuzzy optimization model for QFD planning process using analytic network approach. European Journal of Operational Research. 171 390 11. 

Ramfk, J. Vlach, M. / GENERAUZED CONCAVITY IN FUZZY OPTIMIZATION AND DECISION ANALYSIS... 

Herrera, F., S. Alonso, F. Chiclana, and E. Herrera-Viedma, "Computing with words in decision making Foundations," Trends and Prospects, Fuzzy Optimization and Decision Making, 8(4), pp. 337-364,2009. 

Liu YK, Liu B (2003) Fuzzy random variables a scalar expected value operator. Fuzzy Optim Decis Making 2(2) 143-160... 

Figure I. Fuzzy optimal rule base design strategy...

Another fuzzy optimization procedure was developed for multicomponent analysis. Kaguei and Sato applied fuzzy linear programming (LP) for the deconvolution of multicomponent spectra containing unknown compounds and found it superior to ordinary LP. They emphasized the use of the fuzzy LP to examine whether unknown components are contained in the mixture and for identifying them. 

Liew, W. H., Hassim, M. H., Ng, D. K. S. Screening of sustainable biodiesel production pathways during process research and development (R D) stage using fuzzy optimization, clean technology and environmental policy (CTEP), 201416(7), 1431-1444. 

Y-L Hsu, T-C Liul, F Thibault and B LanctoL Design optimization of the blow moulding process using a fuzzy optimization algorithm. Proc. Inst Mech. Eng, 218, B, J. Eng. Manufacture, 197-212 (2004). 

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